A Hermitian canonical form for complex matrices under consimilarity
type: Item
instance of: scholarly article
title: A Hermitian canonical form for complex matrices under consimilarity
zbMATH Open document ID: 0711.15010
DOI: 10.1016/0024-3795(90)90237-7
published in: Linear Algebra and its Applications
publication date: 1990-01-01T00:00:00Z
review text: An algorithm is described that yields a Hermitian canonical form for complex matrices under consimilarity. It consists of three blocks corresponding to the nonnegative, negative and nonreal eigenvalues of \(A\bar A\). A similar algorithm produces a real canonical form (for complex matrices under consimilarity).
Mathematics Subject Classification ID: 15A21
zbMATH DE Number: 4168847
zbMATH Keywords: algorithm
zbMATH Keywords: Hermitian canonical form
zbMATH Keywords: complex matrices
zbMATH Keywords: consimilarity
author: Yoo-Pyo Hong
reviewed by: Vlastimil Pták
MaRDI profile type: Publication
full work available at URL: 0024-3795(90)90237-7
OpenAlex ID: W2014253139
cites work: The Matrix Equation $A\bar X - XB = C$ and Its Special Cases
cites work: A canonical form for matrices under consimilarity
cites work: The Jordan canonical form of a product of a Hermitian and a positive semidefinite matrix
cites work: On the Reduction of a Matrix to Triangular or Diagonal Form by Consimilarity
cites work: Matrix Analysis
cites work: Orthogonal Classification of Hermitian Matrices
description: scientific article; zbMATH DE number 4168847