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.