Nonnegative generalized inverses of powers of non-negative matrices
type: Item
instance of: scholarly article
title: Nonnegative generalized inverses of powers of non-negative matrices
zbMATH Open document ID: 0651.15006
DOI: 10.1016/0024-3795(88)90243-1
author: S. K. Jain
author: A. Berman
published in: Linear Algebra and its Applications
publication date: 1988-01-01T00:00:00Z
review text: This paper studies the (elementwise) nonnegativity of the Moore-Penrose inverse of the powers as well as the product of nonnegative matrices. A key role is played by several lemmas, some of which are known, relating the generalized inverse of a power to products involving powers and (possibly different) generalized inverses of powers.
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15B48
zbMATH DE Number: 4061410
zbMATH Keywords: Moore-Penrose inverse
zbMATH Keywords: nonnegative matrices
zbMATH Keywords: generalized inverse of a power
zbMATH Keywords: products
reviewed by: Stephen L. Campbell
MaRDI profile type: Publication
full work available at URL: 0024-3795(88)90243-1
OpenAlex ID: W2116430191
cites work: Q4061081
cites work: Inverses of nonnegative matrices
cites work: Matrix Group Monotonicity
cites work: Q5185188
cites work: The Generalized Inverse of a Nonnegative Matrix
description: scientific article; zbMATH DE number 4061410