Substitution of matrices over rings
type: Item
instance of: scholarly article
title: Substitution of matrices over rings
zbMATH Open document ID: 0834.15005
DOI: 10.1016/0024-3795(95)00155-K
author: M. L. J. Hautus
published in: Linear Algebra and its Applications
publication date: 1995-10-09T00:00:00Z
review text: The author characterizes the solvability of matrix equations involving rational functions of the unknown matrix. Applications to similarity and interpolation problems are given.
Mathematics Subject Classification ID: 15A24
Mathematics Subject Classification ID: 15A54
Mathematics Subject Classification ID: 41A05
zbMATH DE Number: 803749
zbMATH Keywords: matrices over rings
zbMATH Keywords: solvability
zbMATH Keywords: matrix equations
zbMATH Keywords: rational functions
zbMATH Keywords: similarity
zbMATH Keywords: interpolation
reviewed by: Jaroslav Zemánek
MaRDI profile type: Publication
cites work: Q5545577
cites work: Q3261425
cites work: Roth's theorems over commutative rings
cites work: Operator substitution
cites work: Q4040931
cites work: Q5603302
cites work: Q4754499
cites work: Remarks on Divisors of Zero
cites work: The Equations AX - YB = C and AX - XB = C in Matrices
Wikidata QID: Q126850081
description: scientific article; zbMATH DE number 803749