Two Iteration Methods for Solving Linear Algebraic Systems with Low Order Matrix $A$ and High Order Matrix $B:Y=(A \otimes B)Y+\Phi$
Year: 2000
Author: Shuang-Suo Zhao, Hua Luo Zhang, Guo-Feng Zhang
Journal of Computational Mathematics, Vol. 18 (2000), Iss. 4 : pp. 419–430
Abstract
This paper presents optimum a one-parameter iteration (OOPI) method and a multi-parameter iteration direct (MPID) method for efficiently solving linear algebraic systems with low order matrix $A$ and high order matrix $B: Y = (A \otimes B)Y+\Phi$. On parallel computers (also on serial computer) the former will be efficient, even very efficient under certain conditions, the latter will be universally very efficient.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2000-JCM-9054
Journal of Computational Mathematics, Vol. 18 (2000), Iss. 4 : pp. 419–430
Published online: 2000-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: System of algebraic equations Iteration method Iteration direct method Solution method for stiff ODEs.