Rational approximations for ill-conditioned equation systems

被引：8

作者：

Kirsche, A ^{[1
]}

Böckmann, C ^{[1
]}

机构：

[1] Univ Potsdam, Inst Math, D-14469 Potsdam, Germany

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 171卷 / 01期

关键词：

iterative methods; fixpoint iteration; rational approximations; Pade approximants; ill-conditioned systems;

D O I：

10.1016/j.amc.2005.01.047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study we present iterative methods using rational approximations, e.g... Pade approximants, which work very well for strongly ill-conditioned systems. In principle all methods of the family are convergent. One type of those methods has the advantage that their convergence behavior is very fast without additional a-priori information on the optimal relaxation parameter. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：385 / 397

页数：13

共 50 条

[31] Root loci of ill-conditioned linear predictive systems
Bäckström, T
[J]. 2004 7TH INTERNATIONAL CONFERENCE ON SIGNAL PROCESSING PROCEEDINGS, VOLS 1-3, 2004, : 117 - 120
[32] 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
[33] Ill-conditioned convex processes and conic linear systems
Lewis, AS
[J]. MATHEMATICS OF OPERATIONS RESEARCH, 1999, 24 (04) : 829 - 834
[34] Nonnegative ill-conditioned linear systems and GMRES method
Salahi, Maziar
[J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2009, 31 (1-2) : 507 - 515
[35] ILL-CONDITIONED CORRELATION ANALYZER
HOLMES, WM
[J]. BEHAVIOR RESEARCH METHODS & INSTRUMENTATION, 1982, 14 (01): : 43 - 43
[36] ON THE INVERSION OF ILL-CONDITIONED MATRICES
MCLEAN, AL
[J]. IEEE TRANSACTIONS ON RELIABILITY, 1980, 29 (05) : 427 - 428
[37] An Adaptive Genetic Algorithm for Solving Ill-Conditioned Linear Equation Group
Li, Pengfei
Tong, Xifeng
[J]. SOFTWARE ENGINEERING AND KNOWLEDGE ENGINEERING: THEORY AND PRACTICE, VOL 1, 2012, 114 : 307 - 312
[38] Solving ill-conditioned linear algebraic systems by the dynamical systems method
Hoang, N. S.
Ramm, A. G.
[J]. INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2008, 16 (05) : 617 - 630
[39] Reformulating ill-conditioned differential-algebraic equation optimization problems
Tanartkit, P
Biegler, LT
[J]. INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH, 1996, 35 (06) : 1853 - 1865
[40] Dynamical Systems Method for solving Ill-Conditioned Linear Algebraic Systems
Indratno, Sapto W.
Ramm, A. G.
[J]. INTERNATIONAL JOURNAL OF COMPUTING SCIENCE AND MATHEMATICS, 2009, 2 (04) : 308 - 333

← 1 2 3 4 5 →