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

[1] SOLVING LINEAR-EQUATIONS OVER GF(2) - BLOCK LANCZOS-ALGORITHM
COPPERSMITH, D
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1993, 192 : 33 - 60
[2] INTERPRETATION AND IMPROVED SOLUTION APPROACH FOR ILL-CONDITIONED LINEAR-EQUATIONS
OJALVO, IU
TING, T
[J]. AIAA/ASME/ASCE/AHS/ASC 30TH STRUCTURES, STRUCTURAL DYNAMICS AND MATERIALS CONFERENCE, PTS 1-4: A COLLECTION OF TECHNICAL PAPERS, 1989, : 183 - 187
[3] INTERPRETATION AND IMPROVED SOLUTION APPROACH FOR ILL-CONDITIONED LINEAR-EQUATIONS
OJALVO, IU
TING, T
[J]. AIAA JOURNAL, 1990, 28 (11) : 1976 - 1979
[4] A NEW LOOK AT THE LANCZOS-ALGORITHM FOR SOLVING SYMMETRIC-SYSTEMS OF LINEAR-EQUATIONS
PARLETT, BN
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1980, 29 (FEB) : 323 - 346
[5] Cuckoo Search Algorithm for solving ill-conditioned linear equations
Ma, Yufeng
Li, Yueguang
[J]. MODERN TECHNOLOGIES IN MATERIALS, MECHANICS AND INTELLIGENT SYSTEMS, 2014, 1049 : 1367 - 1370
[6] SOLVING ILL-CONDITIONED SYSTEMS OF LINEAR EQUATIONS
JOSHI, VN
TEWARSON, RP
[J]. TRANSACTIONS OF THE NEW YORK ACADEMY OF SCIENCES, 1972, 34 (07): : 565 - &
[7] Ill-conditioned linear equations and its algorithm
Wang, Dazhou
Li, Yueguang
[J]. PROCEEDINGS OF THE 2015 INTERNATIONAL SYMPOSIUM ON COMPUTERS & INFORMATICS, 2015, 13 : 2216 - 2221
[8] A new algorithm for solving ill-conditioned linear systems
Kim, HJ
Choi, K
Lee, HB
Jung, HK
Hahn, SY
[J]. IEEE TRANSACTIONS ON MAGNETICS, 1996, 32 (03) : 1373 - 1376
[9] A METHOD FOR SOLVING ILL-CONDITIONED SYSTEMS OF LINEAR ALGEBRAIC EQUATIONS
ABRAMOV, AA
[J]. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1991, 31 (04) : 1 - 6
[10] Hybrid Artificial Fish Swarm Algorithm for Solving Ill-Conditioned Linear Systems of Equations
Zhou, Yongquan
Huang, Huajuan
Zhang, Junli
[J]. INTELLIGENT COMPUTING AND INFORMATION SCIENCE, PT I, 2011, 134 (0I): : 656 - 661

← 1 2 3 4 5 →