RANK OF LINEAR AND QUADRATIC COMBINATIONS OF MATRICES

被引：0

作者：

Johnson, Ch R. ^{[1
]}

Pena, J. M. ^{[2
]}

Szulc, T. ^{[3
]}

机构：

[1] Coll William & Mary, Dept Math, Williamsburg, VA 23185 USA

[2] Univ Zaragoza, Dept Matemat Aplicada, E-50009 Zaragoza, Spain

[3] Adam Mickiewicz Univ, Fac Math & Comp Sci, Umultowska 87, PL-61614 Poznan, Poland

来源：

ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2020年 / 36卷

关键词：

Rank; Full rank factorization; Linear combinations of matrices; Convex combinations; Quadratic combinations; P-matrices;

D O I：

10.13001/ela.2020.4949

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the rank of some combinations of matrices is analysed. In particular, the rank of all matrices on the line joining two rank 1 matrices is characterized, and the rank of convex combinations of two matrices and quadratic combinations of three matrices is studied. Presented results concern the problem of robustness of rank under certain kinds of perturbations of a matrix.

引用

页码：169 / 176

页数：8

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