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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, Hua Luo Zhang & Guo-Feng Zhang

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

Published online: 2000-08

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  • 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.

  • Keywords

System of algebraic equations, Iteration method, Iteration direct method, Solution method for stiff ODEs.

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COPYRIGHT: © Global Science Press

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@Article{JCM-18-419, author = {Zhao , Shuang-SuoZhang , Hua Luo and Zhang , Guo-Feng}, 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 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.

}, 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 $B:Y=(A \otimes B)Y+\Phi$ AU - Zhao , Shuang-Suo AU - Zhang , Hua Luo AU - Zhang , Guo-Feng 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, Iteration method, Iteration direct method, Solution method for stiff ODEs. AB -

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.

Zhao , Shuang-SuoZhang , Hua Luo and Zhang , Guo-Feng. (2000). 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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