zlsqr
所属分类：数学计算
开发工具：Fortran
文件大小：300KB
下载次数：20
上传日期：2013-09-02 16:52:39
上 传 者：
苏摩
说明： 求解大型系数矩阵方程的最小二乘解，包括实数方程组和复数方程组。来自斯坦福Systems Optimization Laboratory
( Implementation of a conjugate-gradient type method for solving sparse linear equations and sparse least-squares problems)
文件列表:
zlsqr (0, 2013-06-30)
zlsqr\LSQR.txt (114908, 2013-06-30)
zlsqr\lsqrblas.f90 (7028, 2013-06-13)
zlsqr\lsqrblasInterface.f90 (1256, 2013-06-13)
zlsqr\lsqrCheckModule.f90 (11184, 2013-06-30)
zlsqr\lsqrDataModule.f90 (1252, 2013-06-30)
zlsqr\lsqrModule.f90 (31499, 2013-06-30)
zlsqr\lsqrReadMtxModule.f90 (5420, 2013-06-30)
zlsqr\lsqrTestModule.f90 (12910, 2013-06-13)
zlsqr\lsqrTestProgram.f90 (2702, 2013-06-13)
zlsqr\Makefile (1473, 2013-06-30)
zlsqr\mm_io.f90 (64501, 2013-06-30)
zlsqr\mm_ioModule.f90 (63439, 2013-06-30)
zlsqr\qc324CCH.mtx (671502, 2013-06-30)
zlsqr\TestProgram (165000, 2013-06-30)
zlsqr\zLSQR.txt (180147, 2013-06-30)
zlsqr\zlsqrblas.f90 (3437, 2013-06-30)
zlsqr\zlsqrblasInterface.f90 (988, 2013-06-30)
zlsqr\zlsqrCheckModule.f90 (11081, 2013-06-30)
zlsqr\zlsqrDataModule.f90 (537, 2013-06-30)
zlsqr\zlsqrModule.f90 (32478, 2013-06-30)
zlsqr\zlsqrTestModule.f90 (19158, 2013-06-30)
zlsqr\zlsqrTestProgram.f90 (3234, 2013-06-30)
zlsqr\zTestProgram (95120, 2013-06-30)
README for lsqrf90-v2
The software for LSQR (f90 version 2) is provided by SOL, Stanford University
under the terms of the OSI Common Public License (CPL):
http://www.opensource.org/licenses/cpl1.0.php
24 Sep 2007: Version 2 of f90 files for LSQR.
Separate modules are used for LSQR, example test problems,
and Check routines for A and x.
LSQR lives in lsqrModule.f90.
Aprod1, Aprod2 (matrix-vector product routines) are in
lsqrTestModule.f90. This module illustrates how
problem-specific data can be created for Aprod1, Aprod2
even though LSQR calls them with a simple parameter list.
24 Sep 2007: f90 files available for download from SOL.
19 Dec 2008: lsqrblasInterface module implemented.
26 Oct 2012: lsqrTestProgram outputs helpful info to the screen.
29 Jun 2013: Support for complex A and b
Maintained by Michael Saunders, SOL, Stanford University
saunders@stanford.edu 650-723-1875
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LSQR (f90 version 2) involves the following files:
lsqrblas.f90 (not needed if Level 1 BLAS are available)
lsqrblasInterface.f90
lsqrCheckModule.f90
lsqrModule.f90
lsqrTestModule.f90
lsqrTestProgram.f90
LSQR.txt (example output file from an Apple iMac
compiled with gfortran -g -O on Mac OS X 10.6.8)
Makefile
To compile the code and run the test program on Linux or Unix,
proceed as follows:
make lsqr (creates executable TestProgram)
./TestProgram
grep appears LSQR.txt
"LSQR appears to be successful" should occur 17 times.
"LSQR appears to have failed" might occur for the most
ill-conditioned problem, but this is not cause for alarm
if ||A'r|| is very small (~= 1e-12).
zLSQR is LSQR for complex A and complex b. zLSQR involves the
following files:
zlsqrblas.f90 (not needed if Level 1 BLAS are available)
zlsqrblasInterface.f90
zlsqrCheckModule.f90
zlsqrModule.f90
zlsqrTestModule.f90
zlsqrTestProgram.f90
zLSQR.txt (example output file from an Apple iMac
compiled with gfortran -g -O on Mac OS X 10.6.8)
lsqrDataModule.f90
Makefile
To compile the code and run the test program on Linux or Unix,
proceed as follows:
make zlsqr (creates executable zTestProgram)
./zTestProgram
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