A note on the minimal polynomial of the Kronecker sum of two linear operators
type: Item
instance of: scholarly article
title: A note on the minimal polynomial of the Kronecker sum of two linear operators
zbMATH Open document ID: 0709.15002
DOI: 10.1016/0024-3795(90)90326-8
author: J. A. Dias Da Silva
author: Yahya Ould Hamidoune
published in: Linear Algebra and its Applications
publication date: 1990-01-01T00:00:00Z
review text: Let \(f\), \(g\) denote linear transformations on finite dimensional vector spaces \(V\), \(W\) respectively, and let \(I\) denote an identity operator (on \(V\) or \(W\) as determined by the context). The Kronecker sum of \(f\) and \(g\) is \(f\otimes I+I\otimes g\). The authors give a lower bound for the degree of the minimal polynomial of the Kronecker sum of \(f\) and \(g\) in terms of the degrees of the minimal polynomial of \(f\) and \(g\).
Mathematics Subject Classification ID: 15A04
Mathematics Subject Classification ID: 15A21
zbMATH DE Number: 4165068
zbMATH Keywords: linear transformations
zbMATH Keywords: Kronecker sum
zbMATH Keywords: minimal polynomial
reviewed by: George Phillip Barker
MaRDI profile type: Publication
full work available at URL: 0024-3795(90)90326-8
OpenAlex ID: W2074903776
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description: scientific article; zbMATH DE number 4165068