22 October 2008 12:38:50.765 PM LAWSON_PRB5 BNDACC accumulates a banded matrix. BNDSOL solves an associated banded least squares problem. Execute a sequence of cubic spline fits to a discrete set of data. The number of breakpoints is 5 Breakpoints: 2.00000 7.50000 13.0000 18.5000 24.0000 C: -7.99834 3.27112 3.46281 0.659423 5.72424 2.35982 -7.04963 RNORM = 0.87969563 I X Y YFIT R=Y-YFIT/1X 1 2. 2.20 2.14 0.0628 2 4. 4.00 4.26 -0.2615 3 6. 5.00 4.77 0.2284 4 8. 4.60 4.25 0.3492 5 10. 2.80 3.35 -0.5460 6 12. 2.70 2.83 -0.1266 7 14. 3.80 3.44 0.3648 8 16. 5.10 4.98 0.1242 9 18. 6.10 6.31 -0.2139 10 20. 6.30 6.37 -0.0687 11 22. 5.00 4.88 0.1159 12 24. 2.00 2.03 -0.0285 SIGFAC = 0.39341184 COVARIANCE MATRIX OF THE SPLINE COEFFICIENTS. 1 1 14.80152 2 1 -3.159603 3 1 1.308265 4 1 -0.7284326 5 1 0.5415793 6 1 -0.6930451 7 1 2.347958 1 2 -3.159603 2 2 0.8135779 3 2 -0.3715153 4 2 0.2130168 5 2 -0.1594997 6 2 0.2044514 7 2 -0.6930451 1 3 1.308265 2 3 -0.3715153 3 3 0.2560089 4 3 -0.1617718 5 3 0.1237991 6 3 -0.1594997 7 3 0.5415793 1 4 -0.7284326 2 4 0.2130168 3 4 -0.1617718 4 4 0.1912703 5 4 -0.1617718 6 4 0.2130168 7 4 -0.7284326 1 5 0.5415793 2 5 -0.1594997 3 5 0.1237991 4 5 -0.1617718 5 5 0.2560089 6 5 -0.3715153 7 5 1.308265 1 6 -0.6930451 2 6 0.2044514 3 6 -0.1594997 4 6 0.2130168 5 6 -0.3715153 6 6 0.8135779 7 6 -3.159603 1 7 2.347958 2 7 -0.6930451 3 7 0.5415793 4 7 -0.7284326 5 7 1.308265 6 7 -3.159603 7 7 14.80152 The number of breakpoints is 6 Breakpoints: 2.00000 6.40000 10.8000 15.2000 19.6000 24.0000 C: 0.232381 0.963703 4.73970 0.612302 3.25599 4.83314 2.61460 -7.31256 RNORM = 0.29327798 I X Y YFIT R=Y-YFIT/1X 1 2. 2.20 2.21 -0.0067 2 4. 4.00 3.96 0.0419 3 6. 5.00 5.11 -0.1107 4 8. 4.60 4.43 0.1695 5 10. 2.80 2.96 -0.1594 6 12. 2.70 2.65 0.0543 7 14. 3.80 3.73 0.0658 8 16. 5.10 5.16 -0.0624 9 18. 6.10 6.13 -0.0321 10 20. 6.30 6.23 0.0672 11 22. 5.00 5.03 -0.0327 12 24. 2.00 1.99 0.0053 SIGFAC = 0.14663899 COVARIANCE MATRIX OF THE SPLINE COEFFICIENTS. 1 1 2.367553 2 1 -0.5338094 3 1 0.2186845 4 1 -0.1129877 5 1 0.6721482E-01 6 1 -0.5138880E-01 7 1 0.6714801E-01 8 1 -0.2229255 1 2 -0.5338094 2 2 0.1421741 3 2 -0.6360988E-01 4 2 0.3374990E-01 5 2 -0.2020761E-01 6 2 0.1547224E-01 7 2 -0.2022381E-01 8 2 0.6714801E-01 1 3 0.2186845 2 3 -0.6360988E-01 3 3 0.4291414E-01 4 3 -0.2510340E-01 5 3 0.1536680E-01 6 3 -0.1182379E-01 7 3 0.1547224E-01 8 3 -0.5138880E-01 1 4 -0.1129877 2 4 0.3374990E-01 3 4 -0.2510340E-01 4 4 0.2870844E-01 5 4 -0.1953865E-01 6 4 0.1536680E-01 7 4 -0.2020761E-01 8 4 0.6721482E-01 1 5 0.6721482E-01 2 5 -0.2020761E-01 3 5 0.1536680E-01 4 5 -0.1953865E-01 5 5 0.2870844E-01 6 5 -0.2510340E-01 7 5 0.3374990E-01 8 5 -0.1129877 1 6 -0.5138880E-01 2 6 0.1547224E-01 3 6 -0.1182379E-01 4 6 0.1536680E-01 5 6 -0.2510340E-01 6 6 0.4291414E-01 7 6 -0.6360988E-01 8 6 0.2186845 1 7 0.6714801E-01 2 7 -0.2022381E-01 3 7 0.1547224E-01 4 7 -0.2020761E-01 5 7 0.3374990E-01 6 7 -0.6360988E-01 7 7 0.1421741 8 7 -0.5338094 1 8 -0.2229255 2 8 0.6714801E-01 3 8 -0.5138880E-01 4 8 0.6721482E-01 5 8 -0.1129877 6 8 0.2186845 7 8 -0.5338094 8 8 2.367553 The number of breakpoints is 7 Breakpoints: 2.00000 5.66667 9.33333 13.0000 16.6667 20.3333 24.0000 C: 2.34380 0.470361 4.59706 1.76837 1.63778 4.00723 4.58086 2.21981 -5.46662 RNORM = 0.46271126 I X Y YFIT R=Y-YFIT/1X 1 2. 2.20 2.21 -0.0056 2 4. 4.00 3.94 0.0594 3 6. 5.00 5.20 -0.2039 4 8. 4.60 4.29 0.3143 5 10. 2.80 2.99 -0.1901 6 12. 2.70 2.76 -0.0642 7 14. 3.80 3.66 0.1427 8 16. 5.10 5.12 -0.0225 9 18. 6.10 6.17 -0.0728 10 20. 6.30 6.24 0.0585 11 22. 5.00 5.02 -0.0174 12 24. 2.00 2.00 0.0016 SIGFAC = 0.26714647 COVARIANCE MATRIX OF THE SPLINE COEFFICIENTS. 1 1 9.200796 2 1 -2.181162 3 1 0.8904863 4 1 -0.4518347 5 1 0.2502743 6 1 -0.1527004 7 1 0.1188137 8 1 -0.1596579 9 1 0.5240884 1 2 -2.181162 2 2 0.5963214 3 2 -0.2631056 4 2 0.1366425 5 2 -0.7611630E-01 6 2 0.4650121E-01 7 2 -0.3619233E-01 8 2 0.4863721E-01 9 2 -0.1596579 1 3 0.8904863 2 3 -0.2631056 3 3 0.1729391 4 3 -0.9886667E-01 5 3 0.5628703E-01 6 3 -0.3455649E-01 7 3 0.2692513E-01 8 3 -0.3619233E-01 9 3 0.1188137 1 4 -0.4518347 2 4 0.1366425 3 4 -0.9886667E-01 4 4 0.1109847 5 4 -0.7029814E-01 6 4 0.4413396E-01 7 4 -0.3455649E-01 8 4 0.4650121E-01 9 4 -0.1527004 1 5 0.2502743 2 5 -0.7611630E-01 3 5 0.5628703E-01 4 5 -0.7029814E-01 5 5 0.1003143 6 5 -0.7029814E-01 7 5 0.5628703E-01 8 5 -0.7611630E-01 9 5 0.2502743 1 6 -0.1527004 2 6 0.4650121E-01 3 6 -0.3455649E-01 4 6 0.4413396E-01 5 6 -0.7029814E-01 6 6 0.1109847 7 6 -0.9886667E-01 8 6 0.1366425 9 6 -0.4518347 1 7 0.1188137 2 7 -0.3619233E-01 3 7 0.2692513E-01 4 7 -0.3455649E-01 5 7 0.5628703E-01 6 7 -0.9886667E-01 7 7 0.1729391 8 7 -0.2631056 9 7 0.8904863 1 8 -0.1596579 2 8 0.4863721E-01 3 8 -0.3619233E-01 4 8 0.4650121E-01 5 8 -0.7611630E-01 6 8 0.1366425 7 8 -0.2631056 8 8 0.5963214 9 8 -2.181162 1 9 0.5240884 2 9 -0.1596579 3 9 0.1188137 4 9 -0.1527004 5 9 0.2502743 6 9 -0.4518347 7 9 0.8904863 8 9 -2.181162 9 9 9.200796 The number of breakpoints is 8 Breakpoints: 2.00000 5.14286 8.28571 11.4286 14.5714 17.7143 20.8571 24.0000 C: 0.911842 1.02325 3.79715 3.07765 0.945856 3.00802 4.03866 4.59908 1.56648 -2.86426 RNORM = 0.31470383 I X Y YFIT R=Y-YFIT/1X 1 2. 2.20 2.20 -0.0005 2 4. 4.00 3.99 0.0104 3 6. 5.00 5.06 -0.0583 4 8. 4.60 4.45 0.1513 5 10. 2.80 3.01 -0.2093 6 12. 2.70 2.55 0.1461 7 14. 3.80 3.81 -0.0147 8 16. 5.10 5.16 -0.0619 9 18. 6.10 6.05 0.0546 10 20. 6.30 6.32 -0.0214 11 22. 5.00 5.00 0.0038 12 24. 2.00 2.00 -0.0002 SIGFAC = 0.22252921 COVARIANCE MATRIX OF THE SPLINE COEFFICIENTS. 1 1 8.645722 2 1 -2.168590 3 1 0.9050830 4 1 -0.4522606 5 1 0.2421189 6 1 -0.1364489 7 1 0.8563902E-01 8 1 -0.7294121E-01 9 1 0.1063726 10 1 -0.3530276 1 2 -2.168590 2 2 0.6033593 3 2 -0.2665501 4 2 0.1355132 5 2 -0.7286214E-01 6 2 0.4110231E-01 7 2 -0.2580281E-01 8 2 0.2197804E-01 9 2 -0.3205163E-01 10 2 0.1063726 1 3 0.9050830 2 3 -0.2665501 3 3 0.1637909 4 3 -0.9057746E-01 5 3 0.4967846E-01 6 3 -0.2814785E-01 7 3 0.1768858E-01 8 3 -0.1506982E-01 9 3 0.2197804E-01 10 3 -0.7294121E-01 1 4 -0.4522606 2 4 0.1355132 3 4 -0.9057746E-01 4 4 0.9326225E-01 5 4 -0.5673563E-01 6 4 0.3284303E-01 7 4 -0.2074118E-01 8 4 0.1768858E-01 9 4 -0.2580281E-01 10 4 0.8563902E-01 1 5 0.2421189 2 5 -0.7286214E-01 3 5 0.4967846E-01 4 5 -0.5673563E-01 5 5 0.7828265E-01 6 5 -0.5076366E-01 7 5 0.3284303E-01 8 5 -0.2814785E-01 9 5 0.4110231E-01 10 5 -0.1364489 1 6 -0.1364489 2 6 0.4110231E-01 3 6 -0.2814785E-01 4 6 0.3284303E-01 5 6 -0.5076366E-01 6 6 0.7828265E-01 7 6 -0.5673563E-01 8 6 0.4967846E-01 9 6 -0.7286214E-01 10 6 0.2421189 1 7 0.8563902E-01 2 7 -0.2580281E-01 3 7 0.1768858E-01 4 7 -0.2074118E-01 5 7 0.3284303E-01 6 7 -0.5673563E-01 7 7 0.9326225E-01 8 7 -0.9057746E-01 9 7 0.1355132 10 7 -0.4522606 1 8 -0.7294121E-01 2 8 0.2197804E-01 3 8 -0.1506982E-01 4 8 0.1768858E-01 5 8 -0.2814785E-01 6 8 0.4967846E-01 7 8 -0.9057746E-01 8 8 0.1637909 9 8 -0.2665501 10 8 0.9050830 1 9 0.1063726 2 9 -0.3205163E-01 3 9 0.2197804E-01 4 9 -0.2580281E-01 5 9 0.4110231E-01 6 9 -0.7286214E-01 7 9 0.1355132 8 9 -0.2665501 9 9 0.6033593 10 9 -2.168590 1 10 -0.3530276 2 10 0.1063726 3 10 -0.7294121E-01 4 10 0.8563902E-01 5 10 -0.1364489 6 10 0.2421189 7 10 -0.4522606 8 10 0.9050830 9 10 -2.168590 10 10 8.645722 The number of breakpoints is 9 Breakpoints: 2.00000 4.75000 7.50000 10.2500 13.0000 15.7500 18.5000 21.2500 24.0000 C: -1.72001 1.88202 2.99192 3.88086 1.17582 2.07288 3.32679 4.36645 4.21818 1.57788 -2.52969 RNORM = 0.23240970E-01 I X Y YFIT R=Y-YFIT/1X 1 2. 2.20 2.20 -0.0000 2 4. 4.00 4.00 0.0001 3 6. 5.00 5.00 -0.0006 4 8. 4.60 4.60 0.0032 5 10. 2.80 2.81 -0.0085 6 12. 2.70 2.69 0.0137 7 14. 3.80 3.81 -0.0137 8 16. 5.10 5.09 0.0085 9 18. 6.10 6.10 -0.0032 10 20. 6.30 6.30 0.0006 11 22. 5.00 5.00 -0.0001 12 24. 2.00 2.00 0.0000 SIGFAC = 0.23240970E-01 COVARIANCE MATRIX OF THE SPLINE COEFFICIENTS. 1 1 0.1637927 2 1 -0.4321325E-01 3 1 0.1811362E-01 4 1 -0.9035279E-02 5 1 0.4781438E-02 6 1 -0.2633134E-02 7 1 0.1520717E-02 8 1 -0.1053517E-02 9 1 0.1048726E-02 10 1 -0.1780151E-02 11 1 0.6072221E-02 1 2 -0.4321325E-01 2 2 0.1208652E-01 3 2 -0.5237201E-02 4 2 0.2640111E-02 5 2 -0.1400649E-02 6 2 0.7718028E-03 7 2 -0.4458017E-03 8 2 0.3088499E-03 9 2 -0.3074474E-03 10 2 0.5218745E-03 11 2 -0.1780151E-02 1 3 0.1811362E-01 2 3 -0.5237201E-02 3 3 0.2841683E-02 4 3 -0.1526228E-02 5 3 0.8214958E-03 6 3 -0.4542346E-03 7 3 0.2625766E-03 8 3 -0.1819426E-03 9 3 0.1811227E-03 10 3 -0.3074474E-03 11 3 0.1048726E-02 1 4 -0.9035279E-02 2 4 0.2640111E-02 3 4 -0.1526228E-02 4 4 0.1361205E-02 5 4 -0.8035983E-03 6 4 0.4536365E-03 7 4 -0.2634503E-03 8 4 0.1827286E-03 9 4 -0.1819426E-03 10 4 0.3088499E-03 11 4 -0.1053517E-02 1 5 0.4781438E-02 2 5 -0.1400649E-02 3 5 0.8214958E-03 4 5 -0.8035983E-03 5 5 0.1010434E-02 6 5 -0.6363098E-03 7 5 0.3780273E-03 8 5 -0.2634503E-03 9 5 0.2625766E-03 10 5 -0.4458017E-03 11 5 0.1520717E-02 1 6 -0.2633134E-02 2 6 0.7718028E-03 3 6 -0.4542346E-03 4 6 0.4536365E-03 5 6 -0.6363098E-03 6 6 0.9531009E-03 7 6 -0.6363098E-03 8 6 0.4536365E-03 9 6 -0.4542346E-03 10 6 0.7718028E-03 11 6 -0.2633134E-02 1 7 0.1520717E-02 2 7 -0.4458017E-03 3 7 0.2625766E-03 4 7 -0.2634503E-03 5 7 0.3780273E-03 6 7 -0.6363098E-03 7 7 0.1010434E-02 8 7 -0.8035983E-03 9 7 0.8214958E-03 10 7 -0.1400649E-02 11 7 0.4781438E-02 1 8 -0.1053517E-02 2 8 0.3088499E-03 3 8 -0.1819426E-03 4 8 0.1827286E-03 5 8 -0.2634503E-03 6 8 0.4536365E-03 7 8 -0.8035983E-03 8 8 0.1361205E-02 9 8 -0.1526228E-02 10 8 0.2640111E-02 11 8 -0.9035279E-02 1 9 0.1048726E-02 2 9 -0.3074474E-03 3 9 0.1811227E-03 4 9 -0.1819426E-03 5 9 0.2625766E-03 6 9 -0.4542346E-03 7 9 0.8214958E-03 8 9 -0.1526228E-02 9 9 0.2841683E-02 10 9 -0.5237201E-02 11 9 0.1811362E-01 1 10 -0.1780151E-02 2 10 0.5218745E-03 3 10 -0.3074474E-03 4 10 0.3088499E-03 5 10 -0.4458017E-03 6 10 0.7718028E-03 7 10 -0.1400649E-02 8 10 0.2640111E-02 9 10 -0.5237201E-02 10 10 0.1208652E-01 11 10 -0.4321325E-01 1 11 0.6072221E-02 2 11 -0.1780151E-02 3 11 0.1048726E-02 4 11 -0.1053517E-02 5 11 0.1520717E-02 6 11 -0.2633134E-02 7 11 0.4781438E-02 8 11 -0.9035279E-02 9 11 0.1811362E-01 10 11 -0.4321325E-01 11 11 0.1637927 The number of breakpoints is 10 Breakpoints: 2.00000 4.44444 6.88889 9.33333 11.7778 14.2222 16.6667 19.1111 21.5556 24.0000 C: -7.06462 3.43609 2.12028 4.29891 1.78956 1.52707 2.63781 3.71920 4.42346 3.98990 1.44331 -1.76312 RNORM = 0.0000000 I X Y YFIT R=Y-YFIT/1X 1 2. 2.20 2.20 -0.0000 2 4. 4.00 4.00 -0.0000 3 6. 5.00 5.00 -0.0000 4 8. 4.60 4.60 0.0000 5 10. 2.80 2.80 0.0000 6 12. 2.70 2.70 -0.0000 7 14. 3.80 3.80 0.0000 8 16. 5.10 5.10 0.0000 9 18. 6.10 6.10 -0.0000 10 20. 6.30 6.30 -0.0000 11 22. 5.00 5.00 0.0000 12 24. 2.00 2.00 -0.0000 LAWSON_PRB5: Normal end of execution. 22 October 2008 12:38:50.774 PM