Charakterisierungen von monotonen Matrizen
type: Item
instance of: scholarly article
title: Charakterisierungen von monotonen Matrizen
zbMATH Open document ID: 0575.15005
DOI: 10.1016/0024-3795(84)90072-7
published in: Linear Algebra and its Applications
publication date: 1984-01-01T00:00:00Z
review text: It is well known that a matrix is of monotone kind if and only if it has a regular inverse, all of whose entries are nonnegative. Motivated by a variety of practical and theoretical problems, in the last 15 years several generalizations of that notion have appeared in the literature. In this paper some generalizations of matrix monotonicity are investigated and practical characterizations are given.
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 15A21
zbMATH DE Number: 3918571
zbMATH Keywords: matrix of monotone kind
zbMATH Keywords: regular inverse
zbMATH Keywords: matrix monotonicity
zbMATH Keywords: characterizations
author: Hans Joachim Werner
MaRDI profile type: Publication
full work available at URL: 0024-3795(84)90072-7
OpenAlex ID: W2046371467
cites work: Monotonicity and the Generalized Inverse
cites work: Eight types of matrix monotonicity
cites work: Q3943082
cites work: Aufgaben monotoner Art
cites work: Q3321306
cites work: Characterizations of Real Matrices of Monotone Kind
cites work: Convergent nonnegative matrices and iterative methods for consistent linear systems
cites work: More on generalizations of matrix monotonicity
cites work: Q5849795
cites work: MP matrices
cites work: Nonnegative Drazin inverses
cites work: Q4200316
cites work: On the matrix monotonicity of generalized inversion
cites work: Q4743601
description: scientific article; zbMATH DE number 3918571