Nonnegative generalized inverses in indefinite inner product spaces

被引：3

作者：

Jayaraman, Sachindranath ^{[1
]}

机构：

[1] Indian Inst Sci Educ & Res Thiruvananthapuram, Sch Math, Thiruvananthapuram 695016, Kerala, India

来源：

FILOMAT | 2013年 / 27卷 / 04期

关键词：

Indefinite inner product spaces; indefinite matrix product; nonnegative generalized inverses; matrix monotonicity; self-dual cones; MOORE-PENROSE INVERSE; MATRICES; MONOTONICITY; OPERATORS;

D O I：

10.2298/FIL1304659J

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this article is to investigate nonnegativity of the inverse, the Moore-Penrose inverse and other generalized inverses, in the setting of indefinite inner product spaces with respect to the indefinite matrix product. We also propose and investigate generalizations of the corresponding notions of matrix monotonicity, namely, o-(rectangular) monotonicity, o-semimonotonicity and o-weak monotonicity and its interplay with nonnegativity of various generalized inverses in the same setting.

引用

页码：659 / 670

页数：12

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