TWO ITERATION METHODS FOR SOLVING LINEAR ALGEBRAIC SYSTEMS WITH LOW ORDER MATRIX A AND HIGH ORDER MATRIX B:Y=(AB)Y+Ф  被引量:3

TWO ITERATION METHODS FOR SOLVING LINEAR ALGEBRAIC SYSTEMS WITH LOW ORDER MATRIX A AND HIGH ORDER MATRIX B:Y=(AB)Y+Ф

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作  者:Shuang-suo Zhao (Depart. of Math. & Computing Engieering, Ningxia University, Yinchuan, 750021, China) Zhang-hua Luo (Depart. of Math. & Computer Science, Guangxi Normal University, Guilin, 541004, China) Guo-feng Zhang (Depart. of Math., Lanzhou Univers 

出  处:《Journal of Computational Mathematics》2000年第4期419-430,共12页计算数学(英文)

基  金:national natural science foundation of China !(19671039).

摘  要:This paper presents optimum an 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 B)Y + Φ. 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.This paper presents optimum an 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 B)Y + Φ. 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.

关 键 词:System of algebraic equations Iteration method Iteration direct method Solution method for stiff ODEs 

分 类 号:TP301.6[自动化与计算机技术—计算机系统结构]

 

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