⭐ 欢迎来到虫虫下载站! | 📦 资源下载 📁 资源专辑 ℹ️ 关于我们
⭐ 虫虫下载站

📄 lsqr.txt

📁 比较经典的求解线性方程的方法 原理是C.C. Paige and M.A. Sauders等你提出的
💻 TXT
📖 第 1 页 / 共 5 页
字号:
   360  1.000000957E-01  1.827111502E-09  1.98E-12  4.84E-08  9.59E+00  2.34E+09  6.4E-11   370  1.000000957E-01  1.827111494E-09  1.98E-12  9.30E-09  9.72E+00  2.37E+09  6.4E-11   380  1.000000957E-01  1.827111494E-09  1.98E-12  4.49E-10  9.89E+00  2.41E+09  6.4E-11   390  1.000000957E-01  1.827111494E-09  1.98E-12  4.16E-09  1.00E+01  2.44E+09  6.4E-11   400  1.000000955E-01  1.827111493E-09  1.98E-12  3.51E-08  1.01E+01  2.47E+09  6.4E-11   410  1.000000315E-01  1.827111128E-09  1.98E-12  1.12E-06  1.02E+01  2.50E+09  6.4E-11   420  1.000000279E-01  1.827111108E-09  1.98E-12  9.58E-11  1.04E+01  2.54E+09  6.4E-11   430  1.000000279E-01  1.827111108E-09  1.98E-12  6.65E-12  1.05E+01  2.57E+09  6.4E-11   440  1.000000279E-01  1.827111108E-09  1.98E-12  2.03E-12  1.06E+01  2.59E+09  6.4E-11   446  1.000000279E-01  1.827111108E-09  1.98E-12  2.04E-15  1.07E+01  2.62E+09  6.4E-11   447  1.000000279E-01  1.827111108E-09  1.98E-12  1.73E-15  1.07E+01  2.62E+09  6.4E-11   450  1.000000279E-01  1.827111108E-09  1.98E-12  1.76E-13  1.07E+01  2.62E+09  6.4E-11   460  1.000000279E-01  1.827111108E-09  1.98E-12  2.38E-13  1.08E+01  2.65E+09  6.4E-11   465  1.000000279E-01  1.827111108E-09  1.98E-12  1.75E-16  1.09E+01  2.67E+09  6.4E-11 Exit  LSQR.       istop  = 3               itn    =     465 Exit  LSQR.       Anorm  = 1.09390E+01     Acond  = 2.67131E+09 Exit  LSQR.       bnorm  = 9.20536E+02     xnorm  = 1.82711E+03 Exit  LSQR.       rnorm  = 1.82711E-09     Arnorm = 3.50479E-24 Exit  LSQR.       max dx = 9.1E+02 occurred at itn        1 Exit  LSQR.              = 5.0E-01*xnorm Exit  LSQR.       A damped least-squares solution was found, given atol Enter xcheck.     Does x solve Ax = b, etc?    damp            = 1.000E-12    norm(x)         = 1.827E+03    norm(r)         = 8.25665942E-13 = rho1    norm(A'r)       = 6.491E-13      = sigma1    norm(s)         = 8.257E-01    norm(x,s)       = 1.827E+03    norm(rbar)      = 1.82711129E-09 = rho2    norm(Abar'rbar) = 6.491E-13      = sigma2    inform          = 1    tol             = 1.490E-08    test1           = 3.949E-17 (Ax = b)    test2           = 7.186E-02 (least-squares)    test3           = 3.247E-05 (damped least-squares) Solution  x:     1  0.100000         2  0.200000         3  0.300000         4  0.400000         5  0.500000         6  0.600000         7  0.700000         8  0.800000     LSQR  appears to be successful. Relative error in  x  =  1.02E-09 -------------------------------------------------------------------- Least-Squares Test Problem      P( 1000 1000   40    7    1.00E-13 ) Condition no. =  6.1035E+09     Residual function =  8.463025879E-16 -------------------------------------------------------------------- Enter Acheck.     Test of Aprod for LSQR and CRAIG Aprod seems OK.   Relative error =   4.8E-16 Enter LSQR.       Least-squares solution of  Ax = b The matrix  A  has   1000 rows   and   1000 columns damp   =  1.00000000000000E-13   wantse =         F atol   =  3.18E-16               conlim =  6.10E+12 btol   =  3.18E-16               itnlim =      8200   Itn       x(1)           Function     Compatible   LS     Norm Abar Cond Abar alfa_opt     0  0.000000000E+00  8.802779981E+02  1.00E+00  9.46E-04     1 -2.422195397E+01  3.783589553E+02  4.30E-01  6.05E-01  9.23E-01  1.00E+00  6.4E-01     2 -2.477913716E+01  2.170796658E+02  2.47E-01  3.45E-01  1.18E+00  2.20E+00  3.3E-01     3 -1.776850890E+01  1.378525121E+02  1.57E-01  2.27E-01  1.32E+00  3.69E+00  2.0E-01     4 -8.448828545E+00  9.115137842E+01  1.04E-01  1.57E-01  1.40E+00  5.56E+00  1.3E-01     5  7.462713431E-01  6.101548604E+01  6.93E-02  1.10E-01  1.44E+00  7.99E+00  8.9E-02     6  8.324225295E+00  4.071186937E+01  4.62E-02  7.68E-02  1.47E+00  1.13E+01  6.0E-02     7  1.328456787E+01  2.681918944E+01  3.05E-02  5.31E-02  1.48E+00  1.60E+01  4.0E-02     8  1.508697435E+01  1.732799020E+01  1.97E-02  3.61E-02  1.48E+00  2.29E+01  2.7E-02     9  1.370778590E+01  1.092432663E+01  1.24E-02  2.40E-02  1.49E+00  3.32E+01  1.7E-02    10  9.648835708E+00  6.689826212E+00  7.60E-03  1.78E-02  1.49E+00  4.93E+01  1.1E-02    20 -1.212824859E+01  6.304636182E-01  7.16E-04  2.12E-03  2.31E+00  5.05E+02  1.3E-03    30 -1.324951967E+01  1.349693628E-01  1.53E-04  8.76E-03  2.73E+00  2.02E+03  3.2E-04    40 -7.972289743E+00  3.034724694E-02  3.45E-05  2.64E-02  3.17E+00  9.50E+03  7.5E-05    50 -3.760582449E+00  7.471160118E-03  8.49E-06  1.44E-01  3.50E+00  2.77E+04  2.3E-05    60 -3.516869244E+00  5.772948771E-03  6.56E-06  5.77E-05  3.92E+00  3.19E+04  2.0E-05    70 -5.570579103E-01  1.366150384E-03  1.55E-06  3.55E-06  4.19E+00  9.77E+04  5.7E-06    80 -2.351225472E-01  1.235080581E-03  1.40E-06  5.97E-03  4.44E+00  1.83E+05  4.1E-06    90  1.155130277E+00  2.298013456E-04  2.61E-07  5.88E-05  4.78E+00  3.90E+05  1.2E-06   100  1.155188322E+00  2.296980456E-04  2.61E-07  3.09E-05  5.00E+00  4.08E+05  1.2E-06   110  1.195102232E+00  2.188279056E-04  2.49E-07  1.46E-02  5.21E+00  7.30E+05  9.3E-07   120  1.581337623E+00  2.242424742E-05  2.55E-08  3.14E-05  5.45E+00  2.08E+06  1.8E-07   130  1.581421764E+00  2.238624925E-05  2.54E-08  1.09E-05  5.74E+00  2.19E+06  1.8E-07   140  1.581421505E+00  2.238622182E-05  2.54E-08  9.24E-06  5.93E+00  2.26E+06  1.8E-07   150  1.529094130E+00  2.103866096E-05  2.39E-08  5.31E-04  6.11E+00  6.27E+06  1.1E-07   160  1.473983854E+00  1.951748521E-05  2.22E-08  8.32E-03  6.29E+00  8.93E+06  8.7E-08   170  1.134264711E+00  7.964140066E-07  9.05E-10  2.30E-05  6.52E+00  1.84E+07  1.2E-08   180  1.134264723E+00  7.964053359E-07  9.05E-10  1.45E-06  6.69E+00  1.88E+07  1.2E-08   190  1.134261248E+00  7.959773875E-07  9.04E-10  6.48E-06  6.85E+00  1.93E+07  1.2E-08   200  1.134261015E+00  7.959772113E-07  9.04E-10  3.48E-06  7.08E+00  1.99E+07  1.2E-08   210  1.134260117E+00  7.959766870E-07  9.04E-10  1.35E-06  7.25E+00  2.04E+07  1.2E-08   220  1.117831697E+00  7.860260040E-07  8.93E-10  3.95E-05  7.41E+00  5.95E+07  7.3E-09   230  1.117807695E+00  7.860113715E-07  8.93E-10  1.65E-05  7.61E+00  6.11E+07  7.3E-09   240  5.873307528E-01  3.254190657E-07  3.70E-10  2.84E-03  7.75E+00  3.38E+08  2.0E-09   250  4.790469911E-01  3.745770068E-08  4.26E-11  9.59E-03  7.89E+00  3.76E+08  6.6E-10   260  4.775942228E-01  2.326428255E-09  2.64E-12  2.53E-03  8.09E+00  3.86E+08  1.6E-10   270  4.775939951E-01  2.278945208E-09  2.59E-12  4.89E-07  8.22E+00  3.93E+08  1.6E-10   280  4.775939951E-01  2.278944830E-09  2.59E-12  3.33E-07  8.38E+00  4.00E+08  1.6E-10   290  4.775939949E-01  2.278943427E-09  2.59E-12  5.85E-05  8.51E+00  4.07E+08  1.6E-10   300  4.775939419E-01  2.278532802E-09  2.59E-12  4.29E-08  8.70E+00  4.15E+08  1.6E-10   310  4.775939238E-01  2.278455786E-09  2.59E-12  4.36E-05  8.81E+00  4.21E+08  1.6E-10   320  4.775939236E-01  2.278455067E-09  2.59E-12  3.09E-07  8.95E+00  4.28E+08  1.6E-10   330  4.775939236E-01  2.278455064E-09  2.59E-12  4.72E-09  9.11E+00  4.35E+08  1.6E-10   340  4.775939236E-01  2.278455064E-09  2.59E-12  1.32E-10  9.24E+00  4.41E+08  1.6E-10   350  4.775938894E-01  2.278454963E-09  2.59E-12  8.09E-08  9.36E+00  4.47E+08  1.6E-10   360  4.775906183E-01  2.278445339E-09  2.59E-12  7.79E-05  9.49E+00  4.84E+08  1.6E-10   370  4.775900584E-01  2.278443691E-09  2.59E-12  3.10E-07  9.66E+00  4.97E+08  1.6E-10   380  4.775900563E-01  2.278443685E-09  2.59E-12  7.64E-09  9.78E+00  5.03E+08  1.6E-10   390  4.775894205E-01  2.278441809E-09  2.59E-12  1.17E-05  9.88E+00  5.14E+08  1.5E-10   400  4.775893873E-01  2.278441711E-09  2.59E-12  2.78E-08  1.00E+01  5.23E+08  1.5E-10   410  4.775893853E-01  2.278441705E-09  2.59E-12  6.18E-10  1.01E+01  5.28E+08  1.5E-10   420  4.738247766E-01  2.267128787E-09  2.58E-12  2.58E-05  1.03E+01  6.27E+09  4.5E-11   430  4.737554939E-01  2.266920057E-09  2.58E-12  3.81E-05  1.04E+01  6.42E+09  4.5E-11   440  3.006921773E-01  1.665792869E-09  1.89E-12  1.11E-03  1.05E+01  4.39E+10  1.5E-11   450  1.000150316E-01  1.832971163E-10  2.08E-13  8.54E-06  1.06E+01  6.49E+10  4.1E-12   460  1.000102069E-01  1.831172599E-10  2.08E-13  6.98E-04  1.07E+01  6.55E+10  4.1E-12   470  1.000040779E-01  1.828885385E-10  2.08E-13  1.34E-05  1.09E+01  6.64E+10  4.0E-12   480  9.999935322E-02  1.827120292E-10  2.08E-13  1.07E-06  1.10E+01  6.70E+10  4.0E-12   490  9.999935276E-02  1.827120120E-10  2.08E-13  6.43E-07  1.11E+01  6.76E+10  4.0E-12   500  9.999933151E-02  1.827111813E-10  2.08E-13  1.10E-08  1.12E+01  6.85E+10  4.0E-12   510  9.999933151E-02  1.827111813E-10  2.08E-13  2.40E-10  1.13E+01  6.91E+10  4.0E-12   520  9.999933151E-02  1.827111813E-10  2.08E-13  3.45E-09  1.14E+01  6.96E+10  4.0E-12   530  9.999933151E-02  1.827111813E-10  2.08E-13  2.00E-09  1.15E+01  7.04E+10  4.0E-12   540  9.999933151E-02  1.827111813E-10  2.08E-13  2.70E-10  1.16E+01  7.10E+10  4.0E-12   550  9.999933151E-02  1.827111813E-10  2.08E-13  2.55E-11  1.18E+01  7.18E+10  4.0E-12   560  9.999933151E-02  1.827111813E-10  2.08E-13  2.55E-10  1.18E+01  7.23E+10  4.0E-12   570  9.999933150E-02  1.827111813E-10  2.08E-13  7.79E-09  1.19E+01  7.29E+10  4.0E-12   580  9.999933150E-02  1.827111813E-10  2.08E-13  1.05E-10  1.21E+01  7.37E+10  4.0E-12   590  9.999933131E-02  1.827111812E-10  2.08E-13  4.53E-07  1.22E+01  7.42E+10  4.0E-12   600  9.999920089E-02  1.827111108E-10  2.08E-13  6.55E-12  1.23E+01  7.50E+10  4.0E-12   610  9.999920089E-02  1.827111108E-10  2.08E-13  1.98E-12  1.24E+01  7.55E+10  4.0E-12   620  9.999920090E-02  1.827111108E-10  2.08E-13  2.29E-10  1.25E+01  7.62E+10  4.0E-12   630  9.999920090E-02  1.827111108E-10  2.08E-13  1.76E-09  1.26E+01  7.67E+10  4.0E-12   640  9.999920091E-02  1.827111108E-10  2.08E-13  5.31E-08  1.27E+01  7.75E+10  4.0E-12   650  9.999920091E-02  1.827111108E-10  2.08E-13  5.82E-15  1.28E+01  7.80E+10  4.0E-12   660  9.999920091E-02  1.827111108E-10  2.08E-13  2.15E-13  1.29E+01  7.85E+10  4.0E-12   670  9.999920091E-02  1.827111108E-10  2.08E-13  6.57E-11  1.29E+01  7.90E+10  4.0E-12   680  9.999920091E-02  1.827111108E-10  2.08E-13  1.05E-13  1.31E+01  7.98E+10  4.0E-12   690  9.999920091E-02  1.827111108E-10  2.08E-13  7.40E-13  1.31E+01  8.02E+10  4.0E-12   700  9.999920091E-02  1.827111108E-10  2.08E-13  8.44E-13  1.32E+01  8.07E+10  4.0E-12   704  9.999920091E-02  1.827111108E-10  2.08E-13  2.95E-15  1.33E+01  8.12E+10  4.0E-12   705  9.999920091E-02  1.827111108E-10  2.08E-13  1.08E-15  1.33E+01  8.12E+10  4.0E-12   707  9.999920091E-02  1.827111108E-10  2.08E-13  5.49E-16  1.33E+01  8.12E+10  4.0E-12   708  9.999920091E-02  1.827111108E-10  2.08E-13  1.27E-15  1.33E+01  8.12E+10  4.0E-12   709  9.999920091E-02  1.827111108E-10  2.08E-13  1.31E-15  1.33E+01  8.14E+10  4.0E-12   710  9.999920091E-02  1.827111108E-10  2.08E-13  9.31E-16  1.33E+01  8.15E+10  4.0E-12   711  9.999920091E-02  1.827111108E-10  2.08E-13  1.31E-15  1.34E+01  8.15E+10  4.0E-12   720  9.999920091E-02  1.827111108E-10  2.08E-13  1.04E-11  1.34E+01  8.21E+10  4.0E-12   726  9.999920091E-02  1.827111108E-10  2.08E-13  2.51E-15  1.35E+01  8.24E+10  4.0E-12   727  9.999920091E-02  1.827111108E-10  2.08E-13  6.83E-16  1.35E+01  8.24E+10  4.0E-12   728  9.999920091E-02  1.827111108E-10  2.08E-13  1.25E-15  1.35E+01  8.25E+10  4.0E-12   730  9.999920091E-02  1.827111108E-10  2.08E-13  2.31E-15  1.35E+01  8.26E+10  4.0E-12   731  9.999920091E-02  1.827111108E-10  2.08E-13  2.01E-15  1.35E+01  8.26E+10  4.0E-12   733  9.999920091E-02  1.827111108E-10  2.08E-13  4.60E-16  1.36E+01  8.29E+10  4.0E-12   734  9.999920091E-02  1.827111108E-10  2.08E-13  6.81E-16  1.36E+01  8.29E+10  4.0E-12   735  9.999920091E-02  1.827111108E-10  2.08E-13  5.87E-17  1.36E+01  8.29E+10  4.0E-12 Exit  LSQR.       istop  = 3               itn    =     735 Exit  LSQR.       Anorm  = 1.35788E+01     Acond  = 8.28834E+10 Exit  LSQR.       bnorm  = 8.80278E+02     xnorm  = 1.82711E+03 Exit  LSQR.       rnorm  = 1.82711E-10     Arnorm = 1.45752E-25 Exit  LSQR.       max dx = 8.6E+02 occurred at itn        1 Exit  LSQR.              = 4.7E-01*xnorm Exit  LSQR.       A damped least-squares solution was found, given atol Enter xcheck.     Does x solve Ax = b, etc?    damp            = 1.000E-13    norm(x)         = 1.827E+03    norm(r)         = 1.18832453E-12 = rho1    norm(A'r)       = 9.921E-13      = sigma1    norm(s)         = 1.188E+01    norm(x,s)       = 1.827E+03    norm(rbar)      = 1.82714975E-10 = rho2    norm(Abar'rbar) = 9.921E-13      = sigma2    inform          = 1    tol             = 1.490E-08    test1           = 4.626E-17 (Ax = b)    test2           = 6.148E-02 (least-squares)    test3           = 3.999E-04 (damped least-squares) Solution  x:     1  0.999992E-01     2  0.200000         3  0.300000         4  0.399999         5  0.500001         6  0.600002         7  0.700001         8  0.800001     LSQR  appears to be successful. Relative error in  x  =  3.04E-08 -------------------------------------------------------------------- Least-Squares Test Problem      P( 1000 2000   40    2    1.00E-08 ) Condition no. =  6.2500E+02     Residual function =  1.343553250E-12 -------------------------------------------------------------------- Enter Acheck.     Test of Aprod for LSQR and CRAIG Aprod seems OK.   Relative error =   4.8E-16 Enter LSQR.       Least-squares solution of  Ax = b The matrix  A  has   1000 rows   and   2000 columns damp   =  1.00000000000000E-08   wantse =         F atol   =  3.18E-16               conlim =  6.25E+05 btol   =  3.18E-16               itnlim =     12200   Itn       x(1)           Function     Compatible   LS     Norm Abar Cond Abar alfa_opt     0  0.000000000E+00  1.249337798E+03  1.00E+00  6.63E-04     1 -2.402620751E+01  4.498264693E+02  3.60E-01  7.05E-01  8.88E-01  1.00E+00  5.5E-01     2 -2.022218888E+01  2.366648551E+02  1.89E-01  4.41E-01  1.18E+00  2.12E+00  2.9E-01     3 -1.368214317E+01  1.468584013E+02  1.18E-01  3.23E-01  1.39E+00  3.40E+00  1.9E-01     4 -8.500660046E+00

⌨️ 快捷键说明

复制代码 Ctrl + C
搜索代码 Ctrl + F
全屏模式 F11
切换主题 Ctrl + Shift + D
显示快捷键 ?
增大字号 Ctrl + =
减小字号 Ctrl + -