Diagonally range dominant matrices
type: Item
instance of: scholarly article
title: Diagonally range dominant matrices
zbMATH Open document ID: 0764.15012
DOI: 10.1016/0024-3795(92)90209-S
author: K. Balasubramanian
author: P. Bhimasankaram
author: Aloke Dey
published in: Linear Algebra and its Applications
publication date: 1993-01-16T00:00:00Z
review text: This paper gives a survey of diagonally range dominant (DRD) matrices. It studies Gauss and Cholesky type factorizations for such matrices, the existence of DRD generalized inverses, additive decompositions, Kronecker products of DRD matrices and concludes with a list of common matrices that are DRD, such as Hermitian semidefinite matrices or strictly diagonally dominant ones.
reviewed by: Frank Uhlig
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 65F05
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15A23
Mathematics Subject Classification ID: 15A45
Mathematics Subject Classification ID: 15B48
zbMATH DE Number: 95490
zbMATH Keywords: matrix factorization
zbMATH Keywords: diagonally range dominant matrices
zbMATH Keywords: Gauss elimination
zbMATH Keywords: Cholseky factorization
zbMATH Keywords: generalized inverses
zbMATH Keywords: additive decompositions
zbMATH Keywords: Kronecker products
zbMATH Keywords: Hermitian semidefinite
zbMATH Keywords: diagonally dominant
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 95490