Löwner-ordering antitonicity of generalized inverse of Hermitian matrices

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

Research output: Contribution to journal › Article

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 languageEnglish
Pages (from-to)171-182
Number of pages12
JournalLinear Algebra and Its Applications
Volume127
Issue numberC
DOIs
Publication statusPublished - 1990
Externally publishedYes

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Generalized Inverse
Hermitian matrix
Partial ordering
Inertia
Non-negative
Arbitrary

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Numerical Analysis

Cite this

Löwner-ordering antitonicity of generalized inverse of Hermitian matrices. / Baksalary, Jerzy K.; Nordström, Kenneth; Styan, George P H.

In: Linear Algebra and Its Applications, Vol. 127, No. C, 1990, p. 171-182.

Research output: Contribution to journal › Article

Baksalary, JK, Nordström, K & Styan, GPH 1990, 'Löwner-ordering antitonicity of generalized inverse of Hermitian matrices', Linear Algebra and Its Applications, vol. 127, no. C, pp. 171-182. https://doi.org/10.1016/0024-3795(90)90342-A
Baksalary JK, Nordström K, Styan GPH. Löwner-ordering antitonicity of generalized inverse of Hermitian matrices. Linear Algebra and Its Applications. 1990;127(C):171-182. https://doi.org/10.1016/0024-3795(90)90342-A
Baksalary, Jerzy K. ; Nordström, Kenneth ; Styan, George P H. / Löwner-ordering antitonicity of generalized inverse of Hermitian matrices. In: Linear Algebra and Its Applications. 1990 ; Vol. 127, No. C. pp. 171-182.
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