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 - <p style="text-align: justify;">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.</p>