Generalized Jacobi and Gauss-Seidel Methods for Solving Linear System of Equations
Numer. Math. J. Chinese Univ. (English Ser.)(English Ser.) 16 (2007), pp. 164-170
Published online: 2007-05
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@Article{NM-16-164,
author = {D. K. Salkuyeh},
title = {Generalized Jacobi and Gauss-Seidel Methods for Solving Linear System of Equations},
journal = {Numerical Mathematics, a Journal of Chinese Universities},
year = {2007},
volume = {16},
number = {2},
pages = {164--170},
abstract = {
The Jacobi and Gauss-Seidel algorithms are among the stationary
iterative methods for solving linear system of equations. They are
now mostly used as preconditioners for the popular iterative
solvers. In this paper a generalization of these methods are
proposed and their convergence properties are studied. Some
numerical experiments are given to show the efficiency of the new
methods.},
issn = {},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/nm/10074.html}
}
TY - JOUR
T1 - Generalized Jacobi and Gauss-Seidel Methods for Solving Linear System of Equations
AU - D. K. Salkuyeh
JO - Numerical Mathematics, a Journal of Chinese Universities
VL - 2
SP - 164
EP - 170
PY - 2007
DA - 2007/05
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/nm/10074.html
KW -
AB -
The Jacobi and Gauss-Seidel algorithms are among the stationary
iterative methods for solving linear system of equations. They are
now mostly used as preconditioners for the popular iterative
solvers. In this paper a generalization of these methods are
proposed and their convergence properties are studied. Some
numerical experiments are given to show the efficiency of the new
methods.
D. K. Salkuyeh. (2007). Generalized Jacobi and Gauss-Seidel Methods for Solving Linear System of Equations.
Numerical Mathematics, a Journal of Chinese Universities. 16 (2).
164-170.
doi:
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