Löwner-ordering antitonicity of generalized inverse of Hermitian matrices

Jerzy K. Baksalary; Kenneth Nordström; George P.H. Styan

doi:10.1016/0024-3795(90)90342-A

Löwner-ordering antitonicity of generalized inverse of Hermitian matrices

Jerzy K. Baksalary, Kenneth Nordström, George P.H. Styan

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

Results concerning the antitonicity of generalized inverses of nonnegative definite Hermitian matrices with respect to the Löwner partial ordering are generalized to arbitrary Hermitian matrices. Moreover, some properties of the inertia of a Hermitian matrix are established as preliminary results.

Original language	English
Pages (from-to)	171-182
Number of pages	12
Journal	Linear Algebra and Its Applications
Volume	127
Issue number	C
DOIs	https://doi.org/10.1016/0024-3795(90)90342-A
Publication status	Published - 1990

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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abstract = "Results concerning the antitonicity of generalized inverses of nonnegative definite Hermitian matrices with respect to the L{\"o}wner partial ordering are generalized to arbitrary Hermitian matrices. Moreover, some properties of the inertia of a Hermitian matrix are established as preliminary results.",

author = "Baksalary, {Jerzy K.} and Kenneth Nordstr{\"o}m and Styan, {George P.H.}",

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AU - Baksalary, Jerzy K.

AU - Nordström, Kenneth

AU - Styan, George P.H.

PY - 1990

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JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

SN - 0024-3795

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