Block ILU preconditioners for block-tridiagonal systems

被引：0

作者：

GuangHui Cheng

TingZhu Huang

YanFei Jing

Xi Rao

机构：

[1] University of Electronic Science and Technology of China,School of Mathematical sciences

来源：

Japan Journal of Industrial and Applied Mathematics | 2013年 / 30卷

关键词：

Block-tridiagonal; Block ILU; Preconditioner; -matrix; 65F10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, two new block ILU preconditioners for block-tridiagonal M-matrices and H-matrices are proposed. Some theoretical properties for the preconditioners are studied and how to construct preconditioners effectively is also discussed. Finally, numerical experiments are also reported for illustrating the efficiency of the presented preconditioners.

引用

页码：453 / 464

页数：11

共 50 条

[1] Block ILU preconditioners for block-tridiagonal systems
Cheng, GuangHui
Huang, TingZhu
Jing, YanFei
Rao, Xi
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2013, 30 (02) : 453 - 464
[2] Parallel Performance of Block ILU Preconditioners for a Block-tridiagonal Matrix
Jae Heon Yun
The Journal of Supercomputing, 2003, 24 (1) : 69 - 89
[3] Parallel performance of block ILU preconditioners for a block-tridiagonal matrix
Yun, JH
JOURNAL OF SUPERCOMPUTING, 2003, 24 (01): : 69 - 89
[4] Block ILU Preconditioners for a Nonsymmetric Block-Tridiagonal M-Matrix
Jae Heon Yun
BIT Numerical Mathematics, 2000, 40 : 583 - 605
[5] Block ILU preconditioners for a nonsymmetric block-tridiagonal M-matrix
Yun, JH
BIT, 2000, 40 (03): : 583 - 605
[6] Block ILU factorization preconditioners for a block-tridiagonal H-matrix
Kim, SW
Yun, JH
LINEAR ALGEBRA AND ITS APPLICATIONS, 2000, 317 (1-3) : 103 - 125
[7] ITERATIVE SOLUTION METHODS AND PRECONDITIONERS FOR BLOCK-TRIDIAGONAL SYSTEMS OF EQUATIONS
HOLMGREN, S
OTTO, K
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1992, 13 (03) : 863 - 886
[8] Block incomplete factorization preconditioners for a symmetric block-tridiagonal M-matrix
Yun, JH
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1998, 94 (02) : 133 - 152
[9] On computing of block ILU preconditioner for block tridiagonal systems
Koulaei, M. H.
Toutounian, F.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 202 (02) : 248 - 257
[10] PARALLELIZATION OF ITERATIVE SOLUTION METHODS AND PRECONDITIONERS FOR NONDIAGONALLY DOMINANT, BLOCK-TRIDIAGONAL SYSTEMS OF EQUATIONS
HOLMGREN, S
OTTO, K
FRANDEN, L
HYPERCUBE AND DISTRIBUTED COMPUTERS, 1989, : 353 - 354

← 1 2 3 4 5 →