JOURNAL ARTICLE

Improving the modified Gauss-Seidel method for Z-matrices

Toshiyuki KohnoHisashi KotakemoriHiroshi NikiMasataka Usui

Year: 1997 Journal:   Linear Algebra and its Applications Vol: 267 Pages: 113-123   Publisher: Elsevier BV
Keywords:
Diagonally dominant matrix Gauss–Seidel method Mathematics Matrix splitting M-matrix Matrix (chemical analysis) Iterative method Rate of convergence Gaussian elimination Convergence (economics) Applied mathematics Coefficient matrix Symmetric matrix Mathematical optimization Pure mathematics Gaussian Square matrix Invertible matrix Key (lock) Computer science Computational chemistry Chemistry Eigenvalues and eigenvectors

Metrics

91
Cited By
0.48
FWCI (Field Weighted Citation Impact)
5
Refs
0.59
Citation Normalized Percentile
Is in top 1%
Is in top 10%

Citation History

Topics

Matrix Theory and Algorithms
Physical Sciences →  Computer Science →  Computational Theory and Mathematics
Advanced Optimization Algorithms Research
Physical Sciences →  Mathematics →  Numerical Analysis
Iterative Methods for Nonlinear Equations
Physical Sciences →  Mathematics →  Numerical Analysis

Related Documents

JOURNAL ARTICLE

Improving the Modified Gauss-Seidel Method for Z-Matrices

T Kohno

Journal:   Linear Algebra and its Applications Year: 1997 Vol: 267 (1-3)Pages: 113-123
JOURNAL ARTICLE

PRECONDITIONED GAUSS-SEIDEL ITERATIVE METHOD FOR Z-MATRICES LINEAR SYSTEMS

Hai-Long ShenXin-Hui ShaoZhenxing HuangChunji Li

Journal:   Bulletin of the Korean Mathematical Society Year: 2011 Vol: 48 (2)Pages: 303-314
JOURNAL ARTICLE

Convergence of the Modified Gauss-Seidel Method for H-matrices

Qingbing Liu

Year: 2007 Vol: 149 156 Pages: 268-271
JOURNAL ARTICLE

Modified Gauss–Seidel type methods and Jacobi type methods for Z-matrices

Wen LiWeiwei Sun

Journal:   Linear Algebra and its Applications Year: 2000 Vol: 317 (1-3)Pages: 227-240
JOURNAL ARTICLE

A note on the improving modified Gauss–Seidel (IMGS) method

Jae Heon Yun

Journal:   Applied Mathematics and Computation Year: 2006 Vol: 184 (2)Pages: 674-679
© 2026 ScienceGate Book Chapters — All rights reserved.