On group inverses and the sharp order
type: Item
instance of: scholarly article
title: On group inverses and the sharp order
zbMATH Open document ID: 0619.15006
DOI: 10.1016/0024-3795(87)90248-5
published in: Linear Algebra and its Applications
publication date: 1987-01-01T00:00:00Z
review text: Various partial orderings have been defined on sets of matrices. For example, the \({}^*\)-order is that \(A<B\) if \(BA^*=AA^*\), \(A^*A=A^*B\). This paper examines the relationships between several orderings of this type.
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 06F25
zbMATH DE Number: 4004372
zbMATH Keywords: group inverses
zbMATH Keywords: sharp order
zbMATH Keywords: generalized inverse
zbMATH Keywords: star ordering
zbMATH Keywords: partial orderings
author: Sujit Kumar Mitra
reviewed by: Stephen L. Campbell
MaRDI profile type: Publication
full work available at URL: 0024-3795(87)90248-5
OpenAlex ID: W2063083343
cites work: Q5733541
cites work: Natural structures on semigroups with involution
cites work: A partial order in completely regular semigroups
cites work: Q5540534
cites work: On the matrix equation \(Ax =\lambda Bx\)
cites work: Q3884160
cites work: An Application of the Moore-Penrose Inverse to Antisymmetric Relations
cites work: Lattice properties of the *-order for complex matrices
cites work: On some characterizations of the ''star'' partial ordering for matrices and rank subtractivity
cites work: Q5556523
cites work: Q5595213
cites work: The minus partial order and the shorted matrix
cites work: On parallel summability of matrices
cites work: The natural partial order on a regular semigroup
cites work: Q5540535
cites work: Q5645536
cites work: Q5181471
cites work: On the group-inverse of a linear transformation
description: scientific article; zbMATH DE number 4004372