1*******************************************************************************************************************    PROBLEM   1
0(1) WAMPLER, J.AMER.STAT.ASSN. 1970, P.549, 5TH DEG. POLYNOMIALS, EQUAL WEIGHTS.
0   M    N   M1    L     ITYPE     IWGHT      MODE       TOL
   21    6    0    2         1         1         1  0.0000000    
0FORMAT (F2.0,2F8.0)                                                                    
0MATRIX A, MATRIX B AND VECTOR OF WEIGHTS

   1.0000000      0.0000000      0.0000000      0.0000000      0.0000000      0.0000000      1.0000000      760.00000    
   1.0000000    
   1.0000000      1.0000000      1.0000000      1.0000000      1.0000000      1.0000000      6.0000000     -2042.0000    
   1.0000000    
   1.0000000      2.0000000      4.0000000      8.0000000      16.000000      32.000000      63.000000      2111.0000    
   1.0000000    
   1.0000000      3.0000000      9.0000000      27.000000      81.000000      243.00000      364.00000     -1684.0000    
   1.0000000    
   1.0000000      4.0000000      16.000000      64.000000      256.00000      1024.0000      1365.0000      3888.0000    
   1.0000000    
   1.0000000      5.0000000      25.000000      125.00000      625.00000      3125.0000      3906.0000      1858.0000    
   1.0000000    
   1.0000000      6.0000000      36.000000      216.00000      1296.0000      7776.0000      9331.0000      11379.000    
   1.0000000    
   1.0000000      7.0000000      49.000000      343.00000      2401.0000      16807.000      19608.000      17560.000    
   1.0000000    
   1.0000000      8.0000000      64.000000      512.00000      4096.0000      32768.000      37449.000      39287.000    
   1.0000000    
   1.0000000      9.0000000      81.000000      729.00000      6561.0000      59049.000      66430.000      64382.000    
   1.0000000    
   1.0000000      10.000000      100.00000      1000.0000      10000.000      100000.00      111111.00      113159.00    
   1.0000000    
   1.0000000      11.000000      121.00000      1331.0000      14641.000      161051.00      177156.00      175108.00    
   1.0000000    
   1.0000000      12.000000      144.00000      1728.0000      20736.000      248832.00      271453.00      273291.00    
   1.0000000    
   1.0000000      13.000000      169.00000      2197.0000      28561.000      371293.00      402234.00      400186.00    
   1.0000000    
   1.0000000      14.000000      196.00000      2744.0000      38416.000      537824.00      579195.00      581243.00    
   1.0000000    
   1.0000000      15.000000      225.00000      3375.0000      50625.000      759375.00      813616.00      811568.00    
   1.0000000    
   1.0000000      16.000000      256.00000      4096.0000      65536.000      1048576.0      1118481.0      1121004.0    
   1.0000000    
   1.0000000      17.000000      289.00000      4913.0000      83521.000      1419857.0      1508598.0      1506550.0    
   1.0000000    
   1.0000000      18.000000      324.00000      5832.0000      104976.00      1889568.0      2000719.0      2002767.0    
   1.0000000    
   1.0000000      19.000000      361.00000      6859.0000      130321.00      2476099.0      2613660.0      2611612.0    
   1.0000000    
   1.0000000      20.000000      400.00000      8000.0000      160000.00      3200000.0      3368421.0      3369180.0    
   1.0000000    
0COMPUTED RESULTS
0MODE =   1     IFAULT =   0
0N1 = COMPUTED RANK OF SYSTEM OF EQUATIONS =   4
0COLUMNS OF H = (SQRT(W))*A WERE SELECTED BY THE PIVOTING SCHEME IN THE FOLLOWING ORDER

   6   5   4   3
0THE FOLLOWING COLUMNS OF H ARE LINEARLY DEPENDENT.  IF MODE 1, THEY DID NOT ENTER THE REGRESSION.
 IF MODE 2, THEY ENTERED LAST.

   1   2
0NUMBER OF ZERO WEIGHTS =  0     DEG. OF FREEDOM = 17
0               REPORT ON            NUMBER OF    ESTIMATED NUMBER OF CORRECT
 B-VECTOR NO.   CONVERGENCE          ITERATIONS   DIGITS IN INITIAL SOLUTION

      1         CONVERGED                3.            3.0920386    
      2         CONVERGED                2.            2.9144440    
0SOLUTION FOR B-VECTOR NO.  1
0                           STANDARD DEVIATION
     J    COEFFICIENT(J)     OF COEFFICIENT(J)

     1    0.0000000            0.0000000    
     2    0.0000000            0.0000000    
     3    1.5051228           0.48146155E-01
     4   0.92810655           0.10773467E-01
     5    1.0040545           0.77610178E-03
     6   0.99992031           0.18014671E-04
0    I    OBSERVED(I)         PREDICTED(I)          RESIDUAL(I)

     1    1.0000000            0.0000000            1.0000000    
     2    6.0000000            4.4372044            1.5627958    
     3    63.000000            61.507668            1.4923340    
     4    364.00000            362.91403            1.0859669    
     5    1365.0000            1364.4371           0.56286538    
     6    3906.0000            3905.9265           0.73582277E-01
     7    9331.0000            9331.2900          -0.29038340    
     8    19608.000            19608.486          -0.48702323    
     9    37449.000            37449.516          -0.51425570    
    10    66430.000            66430.398          -0.40036258    
    11    111111.00            111111.20          -0.19442527    
    12    177156.00            177155.95           0.43238796E-01
    13    271453.00            271452.75           0.25063977    
    14    402234.00            402233.63           0.37367895    
    15    579195.00            579194.62           0.37571257    
    16    813616.00            813615.75           0.24711524    
    17    1118481.0            1118481.0           0.14843613E-01
    18    1508598.0            1508598.2          -0.24799994    
    19    2000719.0            2000719.4          -0.41260377    
    20    2613660.0            2613660.2          -0.28488323    
    21    3368421.0            3368420.5           0.40408272    
0SUM OF SQUARED RESIDUALS    =  8.8379717    
 NORM OF RESIDUALS           =  2.9728727    
 RESIDUAL STANDARD DEVIATION = 0.72102755    
0SOLUTION FOR B-VECTOR NO.  2
0                           STANDARD DEVIATION
     J    COEFFICIENT(J)     OF COEFFICIENT(J)

     1    0.0000000            0.0000000    
     2    0.0000000            0.0000000    
     3    1.5051228            148.03679    
     4   0.92810661            33.125584    
     5    1.0040545            2.3863091    
     6   0.99992031           0.55390384E-01
0    I    OBSERVED(I)         PREDICTED(I)          RESIDUAL(I)

     1    760.00000            0.0000000            760.00000    
     2   -2042.0000            4.4372559           -2046.4373    
     3    2111.0000            61.507568            2049.4924    
     4   -1684.0000            362.91406           -2046.9141    
     5    3888.0000            1364.4373            2523.5627    
     6    1858.0000            3905.9263           -2047.9264    
     7    11379.000            9331.2900            2047.7096    
     8    17560.000            19608.486           -2048.4871    
     9    39287.000            37449.516            1837.4857    
    10    64382.000            66430.398           -2048.4004    
    11    113159.00            111111.20            2047.8055    
    12    175108.00            177155.95           -2047.9568    
    13    273291.00            271452.75            1838.2506    
    14    400186.00            402233.63           -2047.6263    
    15    581243.00            579194.62            2048.3757    
    16    811568.00            813615.75           -2047.7529    
    17    1121004.0            1118481.0            2523.0149    
    18    1506550.0            1508598.2           -2048.2480    
    19    2002767.0            2000719.4            2047.5874    
    20    2611612.0            2613660.2           -2048.2849    
    21    3369180.0            3368420.5            759.40405    
0SUM OF SQUARED RESIDUALS    =  83554280.    
 NORM OF RESIDUALS           =  9140.8027    
 RESIDUAL STANDARD DEVIATION =  2216.9705    
0UNSCALED COVARIANCE MATRIX

   0.0000000    
   0.0000000      0.0000000    
   0.0000000      0.0000000     0.44588153E-02
   0.0000000      0.0000000    -0.98387524E-03 0.22325813E-03
   0.0000000      0.0000000     0.68906447E-04-0.15958585E-04 0.11586002E-05
   0.0000000      0.0000000    -0.15479911E-05 0.36412885E-06-0.26760995E-07 0.62423622E-09
1*******************************************************************************************************************    PROBLEM   2
0(2) FIRST DEGREE POLYNOMIAL, UNEQUAL WEIGHTS.                                   
0   M    N   M1    L     ITYPE     IWGHT      MODE       TOL
    6    2    0    1         1         2         1  0.0000000    
0FORMAT (3F3.0)                                                                         
0MATRIX A, MATRIX B AND VECTOR OF WEIGHTS

   1.0000000      1.0000000      2.0000000      2.0000000    
   1.0000000      2.0000000      2.0000000      1.0000000    
   1.0000000      3.0000000      5.0000000      1.0000000    
   1.0000000      4.0000000      4.0000000      1.0000000    
   1.0000000      5.0000000      7.0000000      1.0000000    
   1.0000000      6.0000000      7.0000000      2.0000000    
0COMPUTED RESULTS
0MODE =   1     IFAULT =   0
0N1 = COMPUTED RANK OF SYSTEM OF EQUATIONS =   2
0COLUMNS OF H = (SQRT(W))*A WERE SELECTED BY THE PIVOTING SCHEME IN THE FOLLOWING ORDER

   2   1
0NUMBER OF ZERO WEIGHTS =  0     DEG. OF FREEDOM =  4
0               REPORT ON            NUMBER OF    ESTIMATED NUMBER OF CORRECT
 B-VECTOR NO.   CONVERGENCE          ITERATIONS   DIGITS IN INITIAL SOLUTION

      1         CONVERGED                2.            6.7006812    
0SOLUTION FOR B-VECTOR NO.  1
0                           STANDARD DEVIATION
     J    COEFFICIENT(J)     OF COEFFICIENT(J)

     1   0.76666665           0.71802199    
     2    1.0666667           0.17950551    
0    I    OBSERVED(I)         PREDICTED(I)          RESIDUAL(I)

     1    2.0000000            1.8333334           0.16666667    
     2    2.0000000            2.9000001          -0.89999998    
     3    5.0000000            3.9666667            1.0333333    
     4    4.0000000            5.0333333           -1.0333333    
     5    7.0000000            6.0999999           0.89999998    
     6    7.0000000            7.1666665          -0.16666667    
0SUM OF SQUARED RESIDUALS    =  3.8666666    
 NORM OF RESIDUALS           =  1.9663842    
 RESIDUAL STANDARD DEVIATION = 0.98319209    
0UNSCALED COVARIANCE MATRIX

  0.53333330    
 -0.11666667     0.33333335E-01
1*******************************************************************************************************************    PROBLEM   3
0(3) J. M. CAMERON DATA, UNEQUAL WEIGHTS, TWO COLUMNS LINEARLY DEPENDENT.        
0   M    N   M1    L     ITYPE     IWGHT      MODE       TOL
    7    6    0    2         2         2         1  0.0000000    
0FORMAT (2F3.0,F3.1,F3.0,F4.2,F3.0,F5.1,F4.0,F2.0)                                      
0MATRIX A, MATRIX B AND VECTOR OF WEIGHTS

   1.0000000      1.0000000     0.50000000      2.0000000     0.25000000      2.0000000      13.000000      130.00000    
   2.0000000    
   1.0000000      2.0000000     0.50000000      2.0000000     0.25000000      3.0000000      17.000000      170.00000    
   2.0000000    
   0.0000000      3.0000000      0.0000000      3.0000000      0.0000000      3.0000000      18.200001      182.00000    
   1.0000000    
   0.0000000      2.0000000      0.0000000      1.0000000      0.0000000      1.0000000      8.8000002      88.000000    
   1.0000000    
   0.0000000      1.0000000      0.0000000     -3.0000000      0.0000000      0.0000000     -3.0000000     -30.000000    
   1.0000000    
   0.0000000      1.0000000      0.0000000      0.0000000      0.0000000      0.0000000      2.8000000      28.000000    
   1.0000000    
   0.0000000      0.0000000      0.0000000      1.0000000      0.0000000      0.0000000      2.0999999      21.000000    
   1.0000000    
0COMPUTED RESULTS
0MODE =   1     IFAULT =   0
0N1 = COMPUTED RANK OF SYSTEM OF EQUATIONS =   4
0COLUMNS OF H = (SQRT(W))*A WERE SELECTED BY THE PIVOTING SCHEME IN THE FOLLOWING ORDER

   4   2   6   1
0THE FOLLOWING COLUMNS OF H ARE LINEARLY DEPENDENT.  IF MODE 1, THEY DID NOT ENTER THE REGRESSION.
 IF MODE 2, THEY ENTERED LAST.

   5   3
0NUMBER OF ZERO WEIGHTS =  0     DEG. OF FREEDOM =  3
0               REPORT ON            NUMBER OF    ESTIMATED NUMBER OF CORRECT
 B-VECTOR NO.   CONVERGENCE          ITERATIONS   DIGITS IN INITIAL SOLUTION

      1         CONVERGED                2.            6.5809174    
      2         CONVERGED                2.            6.8139906    
0SOLUTION FOR B-VECTOR NO.  1
0                           STANDARD DEVIATION
     J    COEFFICIENT(J)     OF COEFFICIENT(J)

     1    3.6687493           0.14452919    
     2    2.8125000           0.77811889E-01
     3    0.0000000            0.0000000    
     4    1.9625000           0.40181886E-01
     5    0.0000000            0.0000000    
     6    1.2750002           0.11365154    
0    I    OBSERVED(I)         PREDICTED(I)          RESIDUAL(I)

     1    13.000000            12.956250           0.43750111E-01
     2    17.000000            17.043751          -0.43750111E-01
     3    18.200001            18.150002           0.50000075E-01
     4    8.8000002            8.8625002          -0.62500015E-01
     5   -3.0000000           -3.0750000           0.75000040E-01
     6    2.8000000            2.8125000          -0.12500024E-01
     7    2.0999999            1.9625000           0.13749990    
0SUM OF SQUARED RESIDUALS    = 0.38750026E-01
 NORM OF RESIDUALS           = 0.19685027    
 RESIDUAL STANDARD DEVIATION = 0.11365155    
0SOLUTION FOR B-VECTOR NO.  2
0                           STANDARD DEVIATION
     J    COEFFICIENT(J)     OF COEFFICIENT(J)

     1    36.687500            1.4452914    
     2    28.125000           0.77811861    
     3    0.0000000            0.0000000    
     4    19.625000           0.40181875    
     5    0.0000000            0.0000000    
     6    12.750000            1.1365150    
0    I    OBSERVED(I)         PREDICTED(I)          RESIDUAL(I)

     1    130.00000            129.56250           0.43750003    
     2    170.00000            170.43750          -0.43750000    
     3    182.00000            181.50000           0.50000000    
     4    88.000000            88.625000          -0.62500000    
     5   -30.000000           -30.750000           0.75000000    
     6    28.000000            28.125000          -0.12499999    
     7    21.000000            19.625000            1.3750000    
0SUM OF SQUARED RESIDUALS    =  3.8750000    
 NORM OF RESIDUALS           =  1.9685019    
 RESIDUAL STANDARD DEVIATION =  1.1365151    
0UNSCALED COVARIANCE MATRIX

   1.6171875    
  0.60937488     0.46874991    
   0.0000000      0.0000000      0.0000000    
  0.18749988     0.12499993      0.0000000     0.12499997    
   0.0000000      0.0000000      0.0000000      0.0000000      0.0000000    
  -1.0624999    -0.62499988      0.0000000    -0.24999991      0.0000000     0.99999988    
1*******************************************************************************************************************    PROBLEM   4
0(4) EXAMPLE WITH WEIGHTS AND CONSTRAINTS.                                       
0   M    N   M1    L     ITYPE     IWGHT      MODE       TOL
   12    6    3    1         2         2         1  0.0000000    
0FORMAT (8F3.0)                                                                         
0MATRIX A, MATRIX B AND VECTOR OF WEIGHTS

   1.0000000      1.0000000      1.0000000      1.0000000      1.0000000      1.0000000      6.0000000      1.0000000    
   1.0000000      1.0000000      1.0000000      0.0000000      0.0000000      0.0000000      3.0000000      1.0000000    
   1.0000000      1.0000000      0.0000000      0.0000000      0.0000000      0.0000000      2.0000000      1.0000000    
   1.0000000     -1.0000000      0.0000000      0.0000000      0.0000000      0.0000000      1.0000000      3.0000000    
   1.0000000      0.0000000     -1.0000000      0.0000000      0.0000000      0.0000000     -1.0000000      3.0000000    
   1.0000000      0.0000000      0.0000000     -1.0000000      0.0000000      0.0000000      1.0000000      3.0000000    
   1.0000000      0.0000000      0.0000000      0.0000000      0.0000000     -1.0000000     -1.0000000      2.0000000    
   0.0000000      1.0000000     -1.0000000      0.0000000      0.0000000      0.0000000      1.0000000      2.0000000    
   0.0000000      1.0000000      0.0000000      0.0000000     -1.0000000      0.0000000     -1.0000000      2.0000000    
   0.0000000      1.0000000      0.0000000      0.0000000      0.0000000     -1.0000000      1.0000000      1.0000000    
   0.0000000      0.0000000      1.0000000     -1.0000000      0.0000000      0.0000000     -1.0000000      1.0000000    
   0.0000000      0.0000000      1.0000000      0.0000000     -1.0000000      0.0000000      1.0000000      1.0000000    
0COMPUTED RESULTS
0MODE =   1     IFAULT =   0
0N1 = COMPUTED RANK OF SYSTEM OF EQUATIONS =   6
0COLUMNS OF H = (SQRT(W))*A WERE SELECTED BY THE PIVOTING SCHEME IN THE FOLLOWING ORDER

   1   3   4   2   6   5
0NUMBER OF ZERO WEIGHTS =  0     DEG. OF FREEDOM =  6
0               REPORT ON            NUMBER OF    ESTIMATED NUMBER OF CORRECT
 B-VECTOR NO.   CONVERGENCE          ITERATIONS   DIGITS IN INITIAL SOLUTION

      1         CONVERGED                2.            6.9236898    
0SOLUTION FOR B-VECTOR NO.  1
0                           STANDARD DEVIATION
     J    COEFFICIENT(J)     OF COEFFICIENT(J)

     1    1.0512820           0.35744485    
     2   0.94871795           0.35744485    
     3    1.0000000            0.0000000    
     4   0.48717952           0.73885912    
     5    1.2307693           0.81367344    
     6    1.2820513           0.76207501    
0    I    OBSERVED(I)         PREDICTED(I)          RESIDUAL(I)

     1    6.0000000            6.0000000            0.0000000    
     2    3.0000000            3.0000000            0.0000000    
     3    2.0000000            2.0000000            0.0000000    
     4    1.0000000           0.10256410           0.89743590    
     5   -1.0000000           0.51282048E-01       -1.0512820    
     6    1.0000000           0.56410253           0.43589747    
     7   -1.0000000          -0.23076922          -0.76923078    
     8    1.0000000          -0.51282048E-01        1.0512820    
     9   -1.0000000          -0.28205127          -0.71794873    
    10    1.0000000          -0.33333337            1.3333334    
    11   -1.0000000           0.51282048           -1.5128205    
    12    1.0000000          -0.23076928            1.2307693    
0SUM OF SQUARED RESIDUALS    =  16.307692    
 NORM OF RESIDUALS           =  4.0382781    
 RESIDUAL STANDARD DEVIATION =  1.6486202    
0UNSCALED COVARIANCE MATRIX

  0.47008548E-01
 -0.47008548E-01 0.47008548E-01
  0.46566126E-09-0.46566126E-09  0.0000000    
  0.29914528E-01-0.29914528E-01  0.0000000     0.20085469    
 -0.38461540E-01 0.38461540E-01  0.0000000    -0.11538461     0.24358974    
  0.85470108E-02-0.85470108E-02  0.0000000    -0.85470080E-01-0.12820514     0.21367522    
1*******************************************************************************************************************    PROBLEM   5
0(5) INVERSE OF HILBERT MATRIX OF ORDER 4.  M = 4, N = 4, M1 = 0.                
0   M    N   M1    L     ITYPE     IWGHT      MODE       TOL
    4    4    0    1         2         1         1  0.0000000    
0FORMAT   (5F7.0)                                                                       
0MATRIX A, MATRIX B AND VECTOR OF WEIGHTS

   16.000000     -120.00000      240.00000     -140.00000     -4.0000000      1.0000000    
  -120.00000      1200.0000     -2700.0000      1680.0000      60.000000      1.0000000    
   240.00000     -2700.0000      6480.0000     -4200.0000     -180.00000      1.0000000    
  -140.00000      1680.0000     -4200.0000      2800.0000      140.00000      1.0000000    
0COMPUTED RESULTS
0MODE =   1     IFAULT =   0
0N1 = COMPUTED RANK OF SYSTEM OF EQUATIONS =   4
0COLUMNS OF H = (SQRT(W))*A WERE SELECTED BY THE PIVOTING SCHEME IN THE FOLLOWING ORDER

   3   4   2   1
0NUMBER OF ZERO WEIGHTS =  0     DEG. OF FREEDOM =  0
0               REPORT ON            NUMBER OF    ESTIMATED NUMBER OF CORRECT
 B-VECTOR NO.   CONVERGENCE          ITERATIONS   DIGITS IN INITIAL SOLUTION

      1         CONVERGED                3.            4.2572594    
0SOLUTION FOR B-VECTOR NO.  1
0    J    COEFFICIENT(J)

     1    1.0000000    
     2    1.0000000    
     3    1.0000000    
     4    1.0000000    
0    I    OBSERVED(I)         PREDICTED(I)          RESIDUAL(I)

     1   -4.0000000           -4.0000000           0.38857806E-14
     2    60.000000            60.000000           0.22620794E-14
     3   -180.00000           -180.00000           0.15820678E-14
     4    140.00000            140.00000           0.11934898E-14
0SUM OF SQUARED RESIDUALS    = 0.24143650E-28
 NORM OF RESIDUALS           = 0.49136191E-14
0UNSCALED COVARIANCE MATRIX

   1.4236724    
  0.80004221     0.46363965    
  0.56669962     0.33335543     0.24140592    
  0.44129702     0.26192290     0.19049014     0.15069737    
1*******************************************************************************************************************    PROBLEM   6
0(6) INVERSE OF HILBERT MATRIX OF ORDER 4.  M = 4, N = 4, M1 = 4.                
0   M    N   M1    L     ITYPE     IWGHT      MODE       TOL
    4    4    4    1         2         1         1  0.0000000    
0FORMAT   (5F7.0)                                                                       
0MATRIX A, MATRIX B AND VECTOR OF WEIGHTS

   16.000000     -120.00000      240.00000     -140.00000     -4.0000000      1.0000000    
  -120.00000      1200.0000     -2700.0000      1680.0000      60.000000      1.0000000    
   240.00000     -2700.0000      6480.0000     -4200.0000     -180.00000      1.0000000    
  -140.00000      1680.0000     -4200.0000      2800.0000      140.00000      1.0000000    
0COMPUTED RESULTS
0MODE =   1     IFAULT =   0
0N1 = COMPUTED RANK OF SYSTEM OF EQUATIONS =   4
0COLUMNS OF H = (SQRT(W))*A WERE SELECTED BY THE PIVOTING SCHEME IN THE FOLLOWING ORDER

   3   4   2   1
0NUMBER OF ZERO WEIGHTS =  0     DEG. OF FREEDOM =  0
0               REPORT ON            NUMBER OF    ESTIMATED NUMBER OF CORRECT
 B-VECTOR NO.   CONVERGENCE          ITERATIONS   DIGITS IN INITIAL SOLUTION

      1         CONVERGED                2.            4.2572618    
0SOLUTION FOR B-VECTOR NO.  1
0    J    COEFFICIENT(J)

     1    1.0000000    
     2    1.0000000    
     3    1.0000000    
     4    1.0000000    
0    I    OBSERVED(I)         PREDICTED(I)          RESIDUAL(I)

     1   -4.0000000           -4.0000000            0.0000000    
     2    60.000000            60.000000            0.0000000    
     3   -180.00000           -180.00000            0.0000000    
     4    140.00000            140.00000            0.0000000    
0SUM OF SQUARED RESIDUALS    =  0.0000000    
 NORM OF RESIDUALS           =  0.0000000    
0UNSCALED COVARIANCE MATRIX

   0.0000000    
   0.0000000      0.0000000    
   0.0000000      0.0000000      0.0000000    
   0.0000000      0.0000000      0.0000000      0.0000000    
1*******************************************************************************************************************    PROBLEM   7
0(7) BUSINGER-GOLUB, NUM. MATH. 1965, P.269, INVERSE OF HILBERT MATRIX, ORDER 6. 
0   M    N   M1    L     ITYPE     IWGHT      MODE       TOL
    6    5    1    2         2         1         1  0.0000000    
0FORMAT (5F10.0,10X,2F10.0)                                                             
0MATRIX A, MATRIX B AND VECTOR OF WEIGHTS

   36.000000     -630.00000      3360.0000     -7560.0000      7560.0000      463.00000      463.00000      1.0000000    
  -630.00000      14700.000     -88200.000      211680.00     -220500.00     -13860.000     -17820.000      1.0000000    
   3360.0000     -88200.000      564480.00     -1411200.0      1512000.0      97020.000      93555.000      1.0000000    
  -7560.0000      211680.00     -1411200.0      3628800.0     -3969000.0     -258720.00     -261800.00      1.0000000    
   7560.0000     -220500.00      1512000.0     -3969000.0      4410000.0      291060.00      288288.00      1.0000000    
  -2772.0000      83160.000     -582120.00      1552320.0     -1746360.0     -116424.00     -118944.00      1.0000000    
0COMPUTED RESULTS
0MODE =   1     IFAULT =   0
0N1 = COMPUTED RANK OF SYSTEM OF EQUATIONS =   5
0COLUMNS OF H = (SQRT(W))*A WERE SELECTED BY THE PIVOTING SCHEME IN THE FOLLOWING ORDER

   4   5   3   2   1
0NUMBER OF ZERO WEIGHTS =  0     DEG. OF FREEDOM =  1
0               REPORT ON            NUMBER OF    ESTIMATED NUMBER OF CORRECT
 B-VECTOR NO.   CONVERGENCE          ITERATIONS   DIGITS IN INITIAL SOLUTION

      1         CONVERGED                3.            3.4768455    
      2         CONVERGED                3.           0.84235454    
0SOLUTION FOR B-VECTOR NO.  1
0                           STANDARD DEVIATION
     J    COEFFICIENT(J)     OF COEFFICIENT(J)

     1    1.0000000           0.12221023E-09
     2   0.50000000           0.54666278E-10
     3   0.33333334           0.26555149E-10
     4   0.25000000           0.12477941E-10
     5   0.20000000           0.46492653E-11
0    I    OBSERVED(I)         PREDICTED(I)          RESIDUAL(I)

     1    463.00000            463.00000            0.0000000    
     2   -13860.000           -13860.000           0.30297542E-09
     3    97020.000            97020.000           0.20156676E-09
     4   -258720.00           -258720.00           0.52108362E-09
     5    291060.00            291060.00          -0.12965984E-09
     6   -116424.00           -116424.00           0.37925929E-09
0SUM OF SQUARED RESIDUALS    = 0.56460071E-18
 NORM OF RESIDUALS           = 0.75139917E-09
 RESIDUAL STANDARD DEVIATION = 0.75139917E-09
0SOLUTION FOR B-VECTOR NO.  2
0                           STANDARD DEVIATION
     J    COEFFICIENT(J)     OF COEFFICIENT(J)

     1    1.0000000            1163.8804    
     2   0.50000000            520.61932    
     3   0.33333334            252.90041    
     4   0.25000000            118.83482    
     5   0.20000000            44.277706    
0    I    OBSERVED(I)         PREDICTED(I)          RESIDUAL(I)

     1    463.00000            463.00000            0.0000000    
     2   -17820.000           -13860.000           -3960.0000    
     3    93555.000            97020.000           -3465.0000    
     4   -261800.00           -258720.00           -3080.0000    
     5    288288.00            291060.00           -2772.0000    
     6   -118944.00           -116424.00           -2520.0000    
0SUM OF SQUARED RESIDUALS    =  51208608.    
 NORM OF RESIDUALS           =  7156.0190    
 RESIDUAL STANDARD DEVIATION =  7156.0190    
0UNSCALED COVARIANCE MATRIX

  0.26452927E-01
  0.11805621E-01 0.52929479E-02
  0.57128766E-02 0.25687790E-02 0.12489817E-02
  0.26743892E-02 0.12049609E-02 0.58662094E-03 0.27576840E-03
  0.99316845E-03 0.44814302E-03 0.21837870E-03 0.10272620E-03 0.38284878E-04
1*******************************************************************************************************************    PROBLEM   8
0(8) EXAMPLE WITH X = 0 (HENCE XNORM = 0).  TOL = -1 ON ENTRY TO L2A OR L2B.     
0   M    N   M1    L     ITYPE     IWGHT      MODE       TOL
    1    1    0    1         2         1         1 -1.0000000    
0FORMAT (2F3.0)                                                                         
0MATRIX A, MATRIX B AND VECTOR OF WEIGHTS

   1.0000000      0.0000000      1.0000000    
0COMPUTED RESULTS
0MODE =   1     IFAULT =   0
0N1 = COMPUTED RANK OF SYSTEM OF EQUATIONS =   1
0COLUMNS OF H = (SQRT(W))*A WERE SELECTED BY THE PIVOTING SCHEME IN THE FOLLOWING ORDER

   1
0NUMBER OF ZERO WEIGHTS =  0     DEG. OF FREEDOM =  0
0               REPORT ON            NUMBER OF    ESTIMATED NUMBER OF CORRECT
 B-VECTOR NO.   CONVERGENCE          ITERATIONS   DIGITS IN INITIAL SOLUTION

      1         CONVERGED                1.            6.9236898    
0SOLUTION FOR B-VECTOR NO.  1
0    J    COEFFICIENT(J)

     1    0.0000000    
0    I    OBSERVED(I)         PREDICTED(I)          RESIDUAL(I)

     1    0.0000000            0.0000000            0.0000000    
0SUM OF SQUARED RESIDUALS    =  0.0000000    
 NORM OF RESIDUALS           =  0.0000000    
0UNSCALED COVARIANCE MATRIX

   1.0000000    
1*******************************************************************************************************************    PROBLEM   9
0(9) ALBERT, REGRESSION AND THE MOORE-PENROSE INVERSE, 1972, P. 63.              
0   M    N   M1    L     ITYPE     IWGHT      MODE       TOL
    3    4    0    3         2         1         1  0.0000000    
0FORMAT (7F4.0)                                                                         
0MATRIX A, MATRIX B AND VECTOR OF WEIGHTS

   1.0000000      0.0000000      1.0000000      1.0000000      1.0000000      0.0000000      0.0000000      1.0000000    
   0.0000000      1.0000000     -1.0000000      0.0000000      0.0000000      1.0000000      0.0000000      1.0000000    
   1.0000000      1.0000000      0.0000000      1.0000000      0.0000000      0.0000000      1.0000000      1.0000000    
0COMPUTED RESULTS
0MODE =   1     IFAULT =   0
0N1 = COMPUTED RANK OF SYSTEM OF EQUATIONS =   2
0COLUMNS OF H = (SQRT(W))*A WERE SELECTED BY THE PIVOTING SCHEME IN THE FOLLOWING ORDER

   1   2
0THE FOLLOWING COLUMNS OF H ARE LINEARLY DEPENDENT.  IF MODE 1, THEY DID NOT ENTER THE REGRESSION.
 IF MODE 2, THEY ENTERED LAST.

   3   4
0NUMBER OF ZERO WEIGHTS =  0     DEG. OF FREEDOM =  1
0               REPORT ON            NUMBER OF    ESTIMATED NUMBER OF CORRECT
 B-VECTOR NO.   CONVERGENCE          ITERATIONS   DIGITS IN INITIAL SOLUTION

      1         CONVERGED                1.            6.9236898    
      2         CONVERGED                1.            6.9236898    
      3         CONVERGED                1.            6.9236898    
0SOLUTION FOR B-VECTOR NO.  1
0                           STANDARD DEVIATION
     J    COEFFICIENT(J)     OF COEFFICIENT(J)

     1   0.66666669           0.47140452    
     2  -0.33333334           0.47140452    
     3    0.0000000            0.0000000    
     4    0.0000000            0.0000000    
0    I    OBSERVED(I)         PREDICTED(I)          RESIDUAL(I)

     1    1.0000000           0.66666669           0.33333331    
     2    0.0000000          -0.33333334           0.33333334    
     3    0.0000000           0.33333331          -0.33333331    
0SUM OF SQUARED RESIDUALS    = 0.33333331    
 NORM OF RESIDUALS           = 0.57735026    
 RESIDUAL STANDARD DEVIATION = 0.57735026    
0SOLUTION FOR B-VECTOR NO.  2
0                           STANDARD DEVIATION
     J    COEFFICIENT(J)     OF COEFFICIENT(J)

     1  -0.33333334           0.47140452    
     2   0.66666669           0.47140452    
     3    0.0000000            0.0000000    
     4    0.0000000            0.0000000    
0    I    OBSERVED(I)         PREDICTED(I)          RESIDUAL(I)

     1    0.0000000          -0.33333334           0.33333334    
     2    1.0000000           0.66666669           0.33333331    
     3    0.0000000           0.33333334          -0.33333334    
0SUM OF SQUARED RESIDUALS    = 0.33333331    
 NORM OF RESIDUALS           = 0.57735026    
 RESIDUAL STANDARD DEVIATION = 0.57735026    
0SOLUTION FOR B-VECTOR NO.  3
0                           STANDARD DEVIATION
     J    COEFFICIENT(J)     OF COEFFICIENT(J)

     1   0.33333331           0.47140452    
     2   0.33333334           0.47140452    
     3    0.0000000            0.0000000    
     4    0.0000000            0.0000000    
0    I    OBSERVED(I)         PREDICTED(I)          RESIDUAL(I)

     1    0.0000000           0.33333331          -0.33333331    
     2    0.0000000           0.33333334          -0.33333334    
     3    1.0000000           0.66666669           0.33333331    
0SUM OF SQUARED RESIDUALS    = 0.33333331    
 NORM OF RESIDUALS           = 0.57735026    
 RESIDUAL STANDARD DEVIATION = 0.57735026    
0UNSCALED COVARIANCE MATRIX

  0.66666669    
 -0.33333334     0.66666669    
   0.0000000      0.0000000      0.0000000    
   0.0000000      0.0000000      0.0000000      0.0000000    
1*******************************************************************************************************************    PROBLEM  10
0(10) FIFTH DEGREE POLYNOMIAL WITH HEAVY WEIGHTS, MATRIX A SCALED.      IFAULT=11
0   M    N   M1    L     ITYPE     IWGHT      MODE       TOL
   21    6    0    1         2         2         1  0.0000000    
0FORMAT (F8.0,3F9.0,2F10.0,F13.2,F10.0)                                                 
0MATRIX A, MATRIX B AND VECTOR OF WEIGHTS

   1000000.0      0.0000000      0.0000000      0.0000000      0.0000000      0.0000000      100000.19      16777216.    
   1000000.0      100000.00      10000.000      1000.0000      100.00000      1.0000000     -8277497.0      1.0000000    
   1000000.0      200000.00      40000.000      8000.0000      1600.0000      32.000000      8513600.0      1.0000000    
   1000000.0      300000.00      90000.000      27000.000      8100.0000      243.00000     -8245855.0      1.0000000    
   1000000.0      400000.00      160000.00      64000.000      25600.000      1024.0000      10500192.      1.0000000    
   1000000.0      500000.00      250000.00      125000.00      62500.000      3125.0000     -8191733.0      1.0000000    
   1000000.0      600000.00      360000.00      216000.00      129600.00      7776.0000      8626944.0      1.0000000    
   1000000.0      700000.00      490000.00      343000.00      240100.00      16807.000     -8094491.0      1.0000000    
   1000000.0      800000.00      640000.00      512000.00      409600.00      32768.000      7897376.0      1.0000000    
   1000000.0      900000.00      810000.00      729000.00      656100.00      59049.000     -7920049.0      1.0000000    
   1000000.0      1000000.0      1000000.0      1000000.0      1000000.0      100000.00      600000.50      16777216.    
   1000000.0      1100000.0      1210000.0      1331000.0      1464100.0      161051.00     -7617047.0      1.0000000    
   1000000.0      1200000.0      1440000.0      1728000.0      2073600.0      248832.00      8521440.0      1.0000000    
   1000000.0      1300000.0      1690000.0      2197000.0      2856100.0      371293.00     -7113005.0      1.0000000    
   1000000.0      1400000.0      1960000.0      2744000.0      3841600.0      537824.00      10020992.      1.0000000    
   1000000.0      1500000.0      2250000.0      3375000.0      5062500.0      759375.00     -6310483.0      1.0000000    
   1000000.0      1600000.0      2560000.0      4096000.0      6553600.0      1048576.0      12963744.      1.0000000    
   1000000.0      1700000.0      2890000.0      4913000.0      8352100.0      1419857.0     -5083241.0      1.0000000    
   1000000.0      1800000.0      3240000.0      5832000.0      10497600.      1889568.0      12515136.      1.0000000    
   1000000.0      1900000.0      3610000.0      6859000.0      13032100.      2476099.0     -3272399.0      1.0000000    
   1000000.0      2000000.0      4000000.0      8000000.0      16000000.      3200000.0      6300000.0      16777216.    
0COMPUTED RESULTS
0MODE =   1     IFAULT =   0
0N1 = COMPUTED RANK OF SYSTEM OF EQUATIONS =   5
0COLUMNS OF H = (SQRT(W))*A WERE SELECTED BY THE PIVOTING SCHEME IN THE FOLLOWING ORDER

   5   1   2   4   3
0THE FOLLOWING COLUMNS OF H ARE LINEARLY DEPENDENT.  IF MODE 1, THEY DID NOT ENTER THE REGRESSION.
 IF MODE 2, THEY ENTERED LAST.

   6
0NUMBER OF ZERO WEIGHTS =  0     DEG. OF FREEDOM = 16
0               REPORT ON            NUMBER OF    ESTIMATED NUMBER OF CORRECT
 B-VECTOR NO.   CONVERGENCE          ITERATIONS   DIGITS IN INITIAL SOLUTION

      1         CONVERGED                2.            3.7580550    
0SOLUTION FOR B-VECTOR NO.  1
0                           STANDARD DEVIATION
     J    COEFFICIENT(J)     OF COEFFICIENT(J)

     1   0.10000000           0.23155431E-02
     2  -0.33379931E-01        29.349932    
     3   0.70007688            67.251175    
     4  -0.76670039            51.364967    
     5   0.60000348            12.709621    
     6    0.0000000            0.0000000    
0    I    OBSERVED(I)         PREDICTED(I)          RESIDUAL(I)

     1    100000.19            100000.00           0.18461362    
     2   -8277497.0            102956.00           -8380453.0    
     3    8513600.0            116153.00            8397447.0    
     4   -8245855.0            137152.00           -8383007.0    
     5    10500192.            164952.00            10335240.    
     6   -8191733.0            199992.00           -8391725.0    
     7    8626944.0            244153.00            8382791.0    
     8   -8094491.0            300754.00           -8395245.0    
     9    7897376.0            374556.00            7522820.0    
    10   -7920049.0            471758.00           -8391807.0    
    11    600000.50            600000.00           0.49999228    
    12   -7617047.0            768362.00           -8385409.0    
    13    8521440.0            987363.50            7534076.5    
    14   -7113005.0            1268965.0           -8381970.0    
    15    10020992.            1626566.0            8394426.0    
    16   -6310483.0            2075006.5           -8385489.5    
    17    12963744.            2630567.0            10333177.    
    18   -5083241.0            3310966.0           -8394207.0    
    19    12515136.            4135365.0            8379771.0    
    20   -3272399.0            5124363.0           -8396762.0    
    21    6300000.0            6300000.0           0.18593735    
0SUM OF SQUARED RESIDUALS    = 0.13121098E+16
 NORM OF RESIDUALS           =  36223056.    
 RESIDUAL STANDARD DEVIATION =  9055764.0    
0UNSCALED COVARIANCE MATRIX

  0.65381603E-19
 -0.86985486E-19 0.10504224E-10
 -0.21910924E-18-0.23635314E-10 0.55150513E-10
  0.34592559E-18 0.17070578E-10-0.41363964E-10 0.32172431E-10
 -0.11137458E-18-0.39394885E-11 0.98487685E-11-0.78790472E-11 0.19697677E-11
   0.0000000      0.0000000      0.0000000      0.0000000      0.0000000      0.0000000    
1*******************************************************************************************************************    PROBLEM  11
0(11) LAWSON-HANSON, SOLVING LEAST SQUARES PROBLEMS, 1974, SET 1 EX.16. IFAULT=10
0   M    N   M1    L     ITYPE     IWGHT      MODE       TOL
    8    6    4    1         2         1         1  0.0000000    
0FORMAT (7F6.0)                                                                         
0MATRIX A, MATRIX B AND VECTOR OF WEIGHTS

   155.00000      105.00000     -445.00000     -495.00000     -45.000000     -95.000000     -245.00000      1.0000000    
   355.00000      305.00000     -245.00000     -295.00000      155.00000      105.00000     -295.00000      1.0000000    
  -445.00000     -495.00000     -45.000000     -95.000000      355.00000      305.00000      155.00000      1.0000000    
  -245.00000     -295.00000      155.00000      105.00000     -445.00000     -495.00000      105.00000      1.0000000    
  -45.000000     -95.000000      355.00000      305.00000     -245.00000     -295.00000     -445.00000      1.0000000    
   155.00000      105.00000     -445.00000     -495.00000     -45.000000     -95.000000     -495.00000      1.0000000    
   355.00000      305.00000     -245.00000     -295.00000      155.00000      105.00000     -45.000000      1.0000000    
  -445.00000     -495.00000     -45.000000     -95.000000      355.00000      305.00000     -95.000000      1.0000000    
0***  FOR B-VECTOR NO.  1 ESTIMATED NUMBER OF CORRECT DIGITS IN INITIAL SOLUTION OF COEFFICIENTS IS   0.0000000    
 ***  SINCE THIS IS SMALL, THE FINAL SOLUTION MAY BE INACCURATE.
0COMPUTED RESULTS
0MODE =   1     IFAULT =  10
0N1 = COMPUTED RANK OF SYSTEM OF EQUATIONS =   6
0COLUMNS OF H = (SQRT(W))*A WERE SELECTED BY THE PIVOTING SCHEME IN THE FOLLOWING ORDER

   2   6   4   1   5   3
0NUMBER OF ZERO WEIGHTS =  0     DEG. OF FREEDOM =  2
0               REPORT ON            NUMBER OF    ESTIMATED NUMBER OF CORRECT
 B-VECTOR NO.   CONVERGENCE          ITERATIONS   DIGITS IN INITIAL SOLUTION

      1         CONVERGED                1.            0.0000000    
0SOLUTION FOR B-VECTOR NO.  1
0                           STANDARD DEVIATION
     J    COEFFICIENT(J)     OF COEFFICIENT(J)

     1    4459902.5            13707499.    
     2   -4459903.0            13707497.    
     3   -8601147.0            11832300.    
     4    8601147.0            11832300.    
     5    4141242.0            4880136.0    
     6   -4141242.0            4880136.0    
0    I    OBSERVED(I)         PREDICTED(I)          RESIDUAL(I)

     1   -245.00000           -245.00000            0.0000000    
     2   -295.00000           -295.00000            0.0000000    
     3    155.00000            155.00000            0.0000000    
     4    105.00000            105.00000            0.0000000    
     5   -445.00000           -294.97806           -150.02194    
     6   -495.00000           -466.16882           -28.831177    
     7   -45.000000           -440.82507            395.82507    
     8   -95.000000            159.55591           -254.55591    
0SUM OF SQUARED RESIDUALS    =  244814.03    
 NORM OF RESIDUALS           =  494.78687    
 RESIDUAL STANDARD DEVIATION =  349.86713    
0UNSCALED COVARIANCE MATRIX

  0.15350062E+10
 -0.15350061E+10 0.15350061E+10
 -0.12420983E+10 0.12420983E+10 0.11437524E+10
  0.12420984E+10-0.12420983E+10-0.11437524E+10 0.11437526E+10
 -0.29290758E+09 0.29290755E+09  98345672.     -98345688.     0.19456181E+09
  0.29290755E+09-0.29290752E+09 -98345640.      98345680.    -0.19456179E+09 0.19456179E+09
1*******************************************************************************************************************    PROBLEM  12
0(12) LAWSON-HANSON, SOLVING LEAST SQUARES PROBLEMS, P.252, SET 1, EX.16, TOL=.5.
0   M    N   M1    L     ITYPE     IWGHT      MODE       TOL
    8    6    4    1         2         1         1 0.50000000    
0FORMAT (7F6.0)                                                                         
0MATRIX A, MATRIX B AND VECTOR OF WEIGHTS

   155.00000      105.00000     -445.00000     -495.00000     -45.000000     -95.000000     -245.00000      1.0000000    
   355.00000      305.00000     -245.00000     -295.00000      155.00000      105.00000     -295.00000      1.0000000    
  -445.00000     -495.00000     -45.000000     -95.000000      355.00000      305.00000      155.00000      1.0000000    
  -245.00000     -295.00000      155.00000      105.00000     -445.00000     -495.00000      105.00000      1.0000000    
  -45.000000     -95.000000      355.00000      305.00000     -245.00000     -295.00000     -445.00000      1.0000000    
   155.00000      105.00000     -445.00000     -495.00000     -45.000000     -95.000000     -495.00000      1.0000000    
   355.00000      305.00000     -245.00000     -295.00000      155.00000      105.00000     -45.000000      1.0000000    
  -445.00000     -495.00000     -45.000000     -95.000000      355.00000      305.00000     -95.000000      1.0000000    
0COMPUTED RESULTS
0MODE =   1     IFAULT =   0
0N1 = COMPUTED RANK OF SYSTEM OF EQUATIONS =   4
0COLUMNS OF H = (SQRT(W))*A WERE SELECTED BY THE PIVOTING SCHEME IN THE FOLLOWING ORDER

   2   6   4   1
0THE FOLLOWING COLUMNS OF H ARE LINEARLY DEPENDENT.  IF MODE 1, THEY DID NOT ENTER THE REGRESSION.
 IF MODE 2, THEY ENTERED LAST.

   5   3
0NUMBER OF ZERO WEIGHTS =  0     DEG. OF FREEDOM =  4
0               REPORT ON            NUMBER OF    ESTIMATED NUMBER OF CORRECT
 B-VECTOR NO.   CONVERGENCE          ITERATIONS   DIGITS IN INITIAL SOLUTION

      1         CONVERGED                2.            6.9236898    
0SOLUTION FOR B-VECTOR NO.  1
0                           STANDARD DEVIATION
     J    COEFFICIENT(J)     OF COEFFICIENT(J)

     1   -1.3750000            0.0000000    
     2   0.87500000            0.0000000    
     3    0.0000000            0.0000000    
     4   0.25000000            0.0000000    
     5    0.0000000            0.0000000    
     6    0.0000000            0.0000000    
0    I    OBSERVED(I)         PREDICTED(I)          RESIDUAL(I)

     1   -245.00000           -245.00000            0.0000000    
     2   -295.00000           -295.00000            0.0000000    
     3    155.00000            155.00000            0.0000000    
     4    105.00000            105.00000            0.0000000    
     5   -445.00000            55.000000           -500.00000    
     6   -495.00000           -245.00000           -250.00000    
     7   -45.000000           -295.00000            250.00000    
     8   -95.000000            155.00000           -250.00000    
0SUM OF SQUARED RESIDUALS    =  437500.00    
 NORM OF RESIDUALS           =  661.43781    
 RESIDUAL STANDARD DEVIATION =  330.71890    
0UNSCALED COVARIANCE MATRIX

   0.0000000    
   0.0000000      0.0000000    
   0.0000000      0.0000000      0.0000000    
   0.0000000      0.0000000      0.0000000      0.0000000    
   0.0000000      0.0000000      0.0000000      0.0000000      0.0000000    
   0.0000000      0.0000000      0.0000000      0.0000000      0.0000000      0.0000000    
1*******************************************************************************************************************    PROBLEM  13
0(13) BJORCK-GOLUB, BIT 1967, P.322, HILBERT MATRIX INVERSE, ORDER 8.  IFAULT=8,9
0   M    N   M1    L     ITYPE     IWGHT      MODE       TOL
    8    6    2    3         2         1         1  0.0000000    
0FORMAT (6F12.0)                                                                        
0MATRIX A, MATRIX B AND VECTOR OF WEIGHTS

   20160.000     -92400.000      221760.00     -288288.00      192192.00     -51480.000      945.00000      945.00000    
   8400945.0      1.0000000    
  -952560.00      4656960.0     -11642400.      15567552.     -10594584.      2882880.0     -40320.000     -40320.000    
   4159680.0      1.0000000    
   11430720.     -58212000.     0.14968800E+09-0.20432413E+09 0.14126112E+09 -38918880.      456120.00      3256120.0    
   3256120.0      1.0000000    
  -58212000.     0.30492000E+09-0.80041498E+09 0.11099087E+10-0.77693619E+09 0.21621600E+09 -2236080.0     -136080.00    
  -136080.00      1.0000000    
  0.14968800E+09-0.80041498E+09 0.21344399E+10-0.29967537E+10 0.21189169E+10-0.59459398E+09  5599440.0      7279440.0    
   7279440.0      1.0000000    
 -0.20432413E+09 0.11099087E+10-0.29967537E+10 0.42499418E+10-0.30300511E+10 0.85621536E+09 -7495488.0     -6095488.0    
  -6095488.0      1.0000000    
  0.14126112E+09-0.77693619E+09 0.21189169E+10-0.30300511E+10 0.21754212E+10-0.61837773E+09  5105100.0      6305100.0    
   6305100.0      1.0000000    
  -38918880.     0.21621600E+09-0.59459398E+09 0.85621536E+09-0.61837773E+09 0.17667936E+09 -1389960.0     -339960.00    
  -339960.00      1.0000000    
0***  FOR B-VECTOR NO.  1 SOLUTION FAILED TO CONVERGE.
0***  FOR B-VECTOR NO.  2 SOLUTION FAILED TO CONVERGE.
0***  FOR B-VECTOR NO.  3 SOLUTION FAILED TO CONVERGE.
0***  ALL SOLUTIONS FAILED TO CONVERGE.
0COMPUTED RESULTS
0MODE =   1     IFAULT =   7
0N1 = COMPUTED RANK OF SYSTEM OF EQUATIONS =   6
0COLUMNS OF H = (SQRT(W))*A WERE SELECTED BY THE PIVOTING SCHEME IN THE FOLLOWING ORDER

   4   2   5   1   3   6
0NUMBER OF ZERO WEIGHTS =  0     DEG. OF FREEDOM =  2
0               REPORT ON            NUMBER OF    ESTIMATED NUMBER OF CORRECT
 B-VECTOR NO.   CONVERGENCE          ITERATIONS   DIGITS IN INITIAL SOLUTION

      1         FAILED TO CONVERGE       1.           0.56136179    
      2         FAILED TO CONVERGE       1.           0.33356765    
      3         FAILED TO CONVERGE       1.           0.44413260    
1*******************************************************************************************************************    PROBLEM  14
0(14) LAWSON-HANSON, SOLVING LEAST SQUARES PROBLEMS, 1974, SET 1, EX.12. IFAULT=7
0   M    N   M1    L     ITYPE     IWGHT      MODE       TOL
    6    8    6    1         2         1         1  0.0000000    
0FORMAT (9F6.0)                                                                         
0MATRIX A, MATRIX B AND VECTOR OF WEIGHTS

  -245.00000     -295.00000      155.00000      105.00000     -445.00000     -495.00000     -45.000000     -95.000000    
   355.00000      1.0000000    
   355.00000      305.00000     -245.00000     -295.00000      155.00000      105.00000     -445.00000     -495.00000    
   305.00000      1.0000000    
  -45.000000     -95.000000      355.00000      305.00000     -245.00000     -295.00000      155.00000      105.00000    
  -245.00000      1.0000000    
  -445.00000     -495.00000     -45.000000     -95.000000      355.00000      305.00000     -245.00000     -295.00000    
  -295.00000      1.0000000    
   155.00000      105.00000     -445.00000     -495.00000     -45.000000     -95.000000      355.00000      305.00000    
   155.00000      1.0000000    
  -245.00000     -295.00000      155.00000      105.00000     -445.00000     -495.00000     -45.000000     -95.000000    
   105.00000      1.0000000    
0***  FOR B-VECTOR NO.  1 SOLUTION FAILED TO CONVERGE.
0***  ALL SOLUTIONS FAILED TO CONVERGE.
0COMPUTED RESULTS
0MODE =   1     IFAULT =   7
0N1 = COMPUTED RANK OF SYSTEM OF EQUATIONS =   6
0COLUMNS OF H = (SQRT(W))*A WERE SELECTED BY THE PIVOTING SCHEME IN THE FOLLOWING ORDER

   6   2   8   4   3   7
0THE FOLLOWING COLUMNS OF H ARE LINEARLY DEPENDENT.  IF MODE 1, THEY DID NOT ENTER THE REGRESSION.
 IF MODE 2, THEY ENTERED LAST.

   1   5
0NUMBER OF ZERO WEIGHTS =  0     DEG. OF FREEDOM =  0
0               REPORT ON            NUMBER OF    ESTIMATED NUMBER OF CORRECT
 B-VECTOR NO.   CONVERGENCE          ITERATIONS   DIGITS IN INITIAL SOLUTION

      1         FAILED TO CONVERGE       2.            2.2637572    
1*******************************************************************************************************************    PROBLEM  15
0(15) EXAMPLE WITH SINGULAR MATRIX OF CONSTRAINTS.  M1 = 3, N1 = 2.      IFAULT=6
0   M    N   M1    L     ITYPE     IWGHT      MODE       TOL
    6    3    3    1         2         1         1  0.0000000    
0FORMAT (4F2.0)                                                                         
0MATRIX A, MATRIX B AND VECTOR OF WEIGHTS

   1.0000000      1.0000000      1.0000000      1.0000000      1.0000000    
   2.0000000      2.0000000      2.0000000      1.0000000      1.0000000    
   1.0000000      0.0000000      0.0000000      1.0000000      1.0000000    
   1.0000000      2.0000000      4.0000000      1.0000000      1.0000000    
   1.0000000      3.0000000      9.0000000      1.0000000      1.0000000    
   1.0000000      4.0000000      9.0000000      1.0000000      1.0000000    
0***  SINCE THE CONSTRAINTS ARE LINEARLY DEPENDENT NO SOLUTION CAN BE COMPUTED.
0COMPUTED RESULTS
0MODE =   1     IFAULT =   6
0N1 = COMPUTED RANK OF SYSTEM OF EQUATIONS =   2
1*******************************************************************************************************************    PROBLEM  16
0(16) EXAMPLE WITH MATRIX A EQUAL TO ZERO (HENCE RANK EQUALS ZERO).      IFAULT=5
0   M    N   M1    L     ITYPE     IWGHT      MODE       TOL
    3    2    0    1         2         1         1  0.0000000    
0FORMAT (3F2.0)                                                                         
0MATRIX A, MATRIX B AND VECTOR OF WEIGHTS

   0.0000000      0.0000000      1.0000000      1.0000000    
   0.0000000      0.0000000      1.0000000      1.0000000    
   0.0000000      0.0000000      1.0000000      1.0000000    
0***  EITHER MATRIX H EQUALS ZERO OR MATRIX OF CONSTRAINTS EQUALS ZERO.  NO SOLUTION CAN BE COMPUTED.
0COMPUTED RESULTS
0MODE =   1     IFAULT =   5
0N1 = COMPUTED RANK OF SYSTEM OF EQUATIONS =   0
1*******************************************************************************************************************    PROBLEM  17
0(17) EXAMPLE WITH ZERO AND NEGATIVE WEIGHTS.                            IFAULT=4
0   M    N   M1    L     ITYPE     IWGHT      MODE       TOL
    2    1    0    1         2         2         1  0.0000000    
0FORMAT (2F3.0,F4.0)                                                                    
0MATRIX A, MATRIX B AND VECTOR OF WEIGHTS

   1.0000000      1.0000000      0.0000000    
   1.0000000      1.0000000     -1.0000000    
0***  WEIGHTS MUST BE NONNEGATIVE.  FOR I =  2  WEIGHT =  -1.0000000    
0COMPUTED RESULTS
0MODE =   1     IFAULT =   4
1*******************************************************************************************************************    PROBLEM  18
0(19) EXAMPLE WHERE M1 EXCEEDS M AND N.                                  IFAULT=2
0   M    N   M1    L     ITYPE     IWGHT      MODE       TOL
    1    1    2    1         2         1         1  0.0000000    
0FORMAT (2F3.0)                                                                         
0MATRIX A, MATRIX B AND VECTOR OF WEIGHTS

   1.0000000      1.0000000      1.0000000    
0***  PARAMETER ERROR.  M1 CANNOT EXCEED M OR N, BUT M1 MUST BE NONNEGATIVE.
0COMPUTED RESULTS
0MODE =   1     IFAULT =   2
1*******************************************************************************************************************    PROBLEM  19
0(20) EXAMPLE WITH M = 0.                                                IFAULT=1
0   M    N   M1    L     ITYPE     IWGHT      MODE       TOL
    0    1    0    1         2         1         1  0.0000000    
0FORMAT (2F3.0)                                                                         
0MATRIX A, MATRIX B AND VECTOR OF WEIGHTS

0***  PARAMETER ERROR.  M, N AND L MUST BE GREATER THAN ZERO.
0COMPUTED RESULTS
0MODE =   1     IFAULT =   1
