INVERSE INTERVAL MATRIX

被引：38

作者：

ROHN, J

机构：

[1] Charles Univ, Prague

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1993年 / 30卷 / 03期

关键词：

INTERVAL MATRIX; INVERSE MATRIX; INVERSE STABILITY;

D O I：

10.1137/0730044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The inverse interval matrix is defined as the narrowest interval matrix containing the inverses of all the matrices from a given interval matrix. Both theoretical and practical results concerning computation of the inverse interval matrix are presented. In particular, explicit formulas are given for the inverse of an interval matrix with radius of rank one.

引用

页码：864 / 870

页数：7

共 8 条

[1]

Alefeld G., 1983, INTRO INTERVAL COMPU

[2] OPTIMAL SOLUTIONS OF LINEAR INTERVAL SYSTEMS [J].

BARTH, W .

COMPUTING, 1974, 12 (02) :117-125

[3]

GARLOFF J, 1980, INTERVAL MATH 1980

[4]

HERZBERGER J, 1991, INTERVAL COMPUTATION, V1, P44

[5]

Neumaier A., 1990, INTERVAL METHODS SYS

[6] SYSTEMS OF LINEAR INTERVAL EQUATIONS [J].

ROHN, J .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1989, 126 :39-78

[7]

ROHN J, 1991, LINEAR MULTILINEAR A, V29, P141

[8]

ROHN J, 1987, 876 FREIB INT BER, P1

← 1 →