SYLVESTERS EQUATION - ACCURACY AND COMPUTATIONAL STABILITY

被引：9

作者：

DEIF, AS ^{[1
]}

SEIF, NP ^{[1
]}

HUSSEIN, SA ^{[1
]}

机构：

[1] CAIRO UNIV,FAC ENGN,DEPT ENGN MATH,GIZA 12211,EGYPT

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1995年 / 61卷 / 01期

关键词：

LINEAR EQUATIONS; MATRIX NORMS; CONDITIONING; SCALING; ERROR ANALYSIS;

D O I：

10.1016/0377-0427(94)00053-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two problems related to the equation AX + XB = C are investigated. The first deals with the accuracy of the computed solution (X) over cap. The second handles the stability aspects of the solution and discusses ways for computing the backward error. The results apply automatically to the special case when A = B-T (Lyapunov equation).

引用

页码：1 / 11

页数：11

共 11 条

[1]

[Anonymous], 1991, ADV MATRIX THEORY SC

[2] ALGORITHM - SOLUTION OF MATRIX EQUATION AX+XB = C [J].