THE INTERVAL SYLVESTER EQUATION

被引：22
|
作者：
SEIF, NP
HUSSEIN, SA
DEIF, AS
机构：
[1] Dept. of Engineering Mathematics and Physics Facylty of Engineering, Cairo University
来源：
COMPUTING | 1994年 / 52卷 / 03期
关键词：
D O I：
10.1007/BF02246505
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper a necessary and sufficient condition for the existence of a solution for the interval Sylvester equation is given. A modified Oettli's inequality is derived to characterize the solution. Many direct methods for solving the equation are suggested and compared to each other. These methods are based on different techniques such as simulation, linear programming, correspondence between an interval Sylvester equation and an interval linear system as well as sensitivity analysis. An iterative technique for solving the interval Sylvester equation is provided with special conditions to guarantee the convergence. The square root of an interval matrix is calculated as an application to solving interval Sylvester equations.
引用
收藏
页码：233 / 244
页数：12
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