Convex sets of Schur stable and stable matrices

被引：9

作者：

Elsner, L

Szulc, T

机构：

[1] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany

[2] Adam Mickiewicz Univ, Fac Math & Comp Sci, PL-60679 Poznan, Poland

来源：

LINEAR & MULTILINEAR ALGEBRA | 2000年 / 48卷 / 01期

关键词：

convex sets of matrices; Schur stability; stability; bialternate product;

D O I：

10.1080/03081080008818656

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We derive characterizations for the Schur stability and the stability of all convex combinations of k, k greater than or equal to2, given real square matrices. Moreover, we characterize these properties for the set r(A, B) (c(A,B), resp.) of square matrices whose rows (columns, resp.) are independent convex combinations of the rows (columns, resp.) of two real matrices A and B. Our results can be viewed as contributions to the problem of robustness of matrix properties. This paper continues our paper [4].

引用

页码：1 / 19

页数：19

共 11 条

[1]

BELLMAN R, 1953, INTRO MATRIX ANAL

[2]

Bialas S., 1985, B POLISH ACAD SCI, V33, P473

[3]

Elsner L., 1998, LINEAR MULTILINEAR A, V44, P301, DOI [https://doi.org/10.1080/03081089808818566, DOI 10.1080/03081089808818566]

[4]

ELSNER L, 1998, LINEAR MULTILINEAR A, V44, P1, DOI DOI 10.1080/03081089808818542

[5] CONDITIONS FOR A MATRIX TO HAVE ONLY CHARACTERISTIC ROOTS WITH NEGATIVE REAL PARTS [J].

FULLER, AT .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1968, 23 (01) :71-&

[6] ON THE INERTIA OF INTERVALS OF MATRICES [J].

HERSHKOWITZ, D ;

SCHNEIDER, H .

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1990, 11 (04) :565-574

[7]

Horn R.A., 1991, TOPICS MATRIX ANAL

[8]

Horn R. A., 1986, Matrix analysis

[9]

Johnson C.R., 1995, Linear Multilinear Algebra, V38, P233, DOI [/10.1080/03081089508818359, DOI 10.1080/03081089508818359]

[10] SCHUR STABILITY OF CONVEX COMBINATION OF MATRICES [J].

SOH, CB .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1990, 128 :159-168

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