Volume 18, Issue 4
Two Iteration Methods for Solving Linear Algebraic Systems with Low Order Matrix a and High Order Matrix B:Y=(A Otimes B)Y+Phi

Shuang Suo Zhao, Zhang Hua Luoguo & Feng Zhang

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J. Comp. Math., 18 (2000), pp. 419-430

Published online: 2000-08

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  • Abstract

This paper presents optimum an one-parameter iteration (OOPI) method and a multi-parameter iteration direct (MPID) method for efficiently solving linear algebraic system 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.

  • Keywords

System of algebraic equations Iteration method Iteration direct method Solution method

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@Article{JCM-18-419, author = {}, title = {Two Iteration Methods for Solving Linear Algebraic Systems with Low Order Matrix a and High Order Matrix B:Y=(A Otimes B)Y+Phi}, journal = {Journal of Computational Mathematics}, year = {2000}, volume = {18}, number = {4}, pages = {419--430}, abstract = { This paper presents optimum an one-parameter iteration (OOPI) method and a multi-parameter iteration direct (MPID) method for efficiently solving linear algebraic system 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. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9054.html} }
TY - JOUR T1 - Two Iteration Methods for Solving Linear Algebraic Systems with Low Order Matrix a and High Order Matrix B:Y=(A Otimes B)Y+Phi JO - Journal of Computational Mathematics VL - 4 SP - 419 EP - 430 PY - 2000 DA - 2000/08 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9054.html KW - System of algebraic equations KW - Iteration method KW - Iteration direct method KW - Solution method AB - This paper presents optimum an one-parameter iteration (OOPI) method and a multi-parameter iteration direct (MPID) method for efficiently solving linear algebraic system 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.
Shuang Suo Zhao, Zhang Hua Luoguo & Feng Zhang. (1970). Two Iteration Methods for Solving Linear Algebraic Systems with Low Order Matrix a and High Order Matrix B:Y=(A Otimes B)Y+Phi. Journal of Computational Mathematics. 18 (4). 419-430. doi:
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