南京林业大学学报（自然科学版） ›› 2002, Vol. 26 ›› Issue (06): 54-56.doi: 10.3969/j.jssn.1000-2006.2002.06.014
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杨明辉
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YANG Minghui
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摘要： <正>笔者对Lyapunov矩阵方程AX+XB=C的迭代解法提出了一种修正方案。采用了矩阵的相似变换和并行算法处理,给出了计算复杂性、速度增长倍数和并行处理效率的指标,并证明了该修正方案是可行、有效的。
Abstract: There is Lyapunov matrix equation AX+XB=C to be considered in many practical problems.Many papers give its theories and numerical methods.This paper presents a revised algorithm of iteration method for solving the Lyapunov matrix equation AX+XB=C.It uses matrix similarity transformation and parallel treatment and gives indexes of computer complex and speed multiplication and parallel efficiency.So,this algorithm proves feasible and efficient.
中图分类号:
151.21
杨明辉. 矩阵方程AX+XB=C的一种数值算法[J]. 南京林业大学学报（自然科学版）, 2002, 26(06): 54-56.
YANG Minghui. A Parallel Numerical Solution of Lyapunov Matrix Equation AX+XB=C[J].Journal of Nanjing Forestry University (Natural Science Edition), 2002, 26(06): 54-56.DOI: 10.3969/j.jssn.1000-2006.2002.06.014.
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链接本文: http://nldxb.njfu.edu.cn/CN/10.3969/j.jssn.1000-2006.2002.06.014
http://nldxb.njfu.edu.cn/CN/Y2002/V26/I06/54
