Eigenvalues of matrices with given block upper triangular part
type: Item
instance of: scholarly article
title: Eigenvalues of matrices with given block upper triangular part
zbMATH Open document ID: 0851.15007
DOI: 10.1016/S0024-3795(96)90010-5
author: Katsutoshi Takahashi
published in: Linear Algebra and its Applications
publication date: 1996-05-27T00:00:00Z
review text: Necessary and sufficient conditions are given for the existence of a matrix \(X\in \mathbb{C}^{m\times n}\) for which \(\lambda_1, \dots, \lambda_{n+m}\) are the eigenvalues of the \((n+m) \times (n+m)\) matrix \(M_X= M_X (A, B, C)\) defined by \[ M_X= {{A\;C} \brack {X\;B}}, \] where \(A\in \mathbb{C}^{n \times n}\), \(B\in \mathbb{C}^{m \times m}\) and \(C\in \mathbb{C}^{n \times m}\) are given complex matrices and \(\lambda_1, \dots, \lambda_{n+m}\) are given complex numbers.
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 881694
zbMATH Keywords: eigenvalues
zbMATH Keywords: matrices with given block upper triangular part
reviewed by: Costică Moroşanu
MaRDI profile type: Publication
cites work: On the eigenvalues of matrices with given upper triangular part
cites work: Q4284402
cites work: On Similarity and the Diagonal of a Matrix
cites work: Q4284405
cites work: Q3748420
description: scientific article; zbMATH DE number 881694