AN IMPROVED LANCZOS-ALGORITHM FOR SOLVING ILL-CONDITIONED LINEAR-EQUATIONS

被引：1

作者：

SHAO, PL

机构：

[1] North Vehicle Research Institute

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1990年 / 20卷 / 12期

关键词：

D O I：

10.1016/0898-1221(90)90161-C

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the existing Lanczos algorithms for solving systems of linear equations,the estimate for the residual is effective for well-conditioned systems. However, in actual implementation on a computer we find that the estimate is no longer reliable for ill-conditioned cases. We first analyze in theory this observation, then develop an improved Lanczos algorithm. Numerical examples are also given to demonstrate the effectiveness of the present algorithm. © 1990.

引用

页码：25 / 33

页数：9

共 50 条

[21] Exact method for solving the ill-conditioned simultaneous equations
Zhang, Yanying
Zhang, Pingping
Zhang, Chiping
[J]. Harbin Gongye Daxue Xuebao/Journal of Harbin Institute of Technology, 1995, 27 (06): : 26 - 28
[22] Accurate and efficient algorithm for solving ill-conditioned linear systems by preconditioning methods
Kobayashi, Yuka
Ogita, Takeshi
[J]. IEICE NONLINEAR THEORY AND ITS APPLICATIONS, 2016, 7 (03): : 374 - 385
[23] A New Algorithm for Solving Ill-conditioned Linear System with an Auto-Parameter
He, Tianyu
Wang, Jinshan
Tian, Zonghao
[J]. PROCEEDINGS OF THE 2ND INTERNATIONAL CONFERENCE ON COMPUTER ENGINEERING, INFORMATION SCIENCE & APPLICATION TECHNOLOGY (ICCIA 2017), 2017, 74 : 128 - 131
[24] A NEW METHOD FOR SOLVING ILL-CONDITIONED LINEAR SYSTEMS
Soleymani, Fazlollah
[J]. OPUSCULA MATHEMATICA, 2013, 33 (02) : 337 - 344
[25] LANCZOS-TYPE ALGORITHMS FOR SOLVING SYSTEMS OF LINEAR-EQUATIONS
BREZINSKI, C
SADOK, H
[J]. APPLIED NUMERICAL MATHEMATICS, 1993, 11 (06) : 443 - 473
[26] METHOD FOR SOLVING ILL-CONDITIONED LINEAR EQUATION PROBLEM
GOLLAND, RW
[J]. SIAM REVIEW, 1976, 18 (04) : 805 - 806
[27] Iterative refinement of solution with biparameter for solving ill-conditioned systems of linear algebraic equations
Wu, XY
Shao, R
Xue, GH
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2002, 131 (2-3) : 235 - 244
[28] Composite structure method for ill-conditioned linear equations
Zou, J.L.
Qian, J.R.
[J]. Qinghua Daxue Xuebao/Journal of Tsinghua University, 2001, 41 (04): : 231 - 234
[29] Solving ill-conditioned and singular linear systems: A tutorial on regularization
Neumaier, A
[J]. SIAM REVIEW, 1998, 40 (03) : 636 - 666
[30] Solving ill-conditioned and singular linear systems: A tutorial on regularization
Universitat Wien, Wein, Austria
[J]. SIAM Rev, 3 (636-666):

← 1 2 3 4 5 →