Reducing complex matrices to condensed forms by unitary congruence transformations
type: Item
instance of: scholarly article
title: Reducing complex matrices to condensed forms by unitary congruence transformations
zbMATH Open document ID: 1148.15006
DOI: 10.1134/S0001434607090258
published in: Mathematical Notes
publication date: 2008-09-03T00:00:00Z
review text: The author proves constructively that any \(n \times n\) conjugate-normal matrix can be brought by a unitary congruence transformation to block-tridiagonal form with the orders of the consecutive diagonal blocks not exceeding 1, 2, 3, \dots, respectively.
reviewed by: Jinhai Chen
Mathematics Subject Classification ID: 15A21
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 5319863
zbMATH Keywords: Hermitian matrix
zbMATH Keywords: conjugate-normal matrix
zbMATH Keywords: unitary congruence transformation
zbMATH Keywords: block-tridiagonal form
zbMATH Keywords: Hessenberg form
zbMATH Keywords: Krylov subspace
author: Kh. D. Ikramov
MaRDI profile type: Publication
cites work: On a condensed form for normal matrices under finite sequences of elementary unitary similarities
cites work: On a conjugate gradient-type method for solving complex symmetric linear systems
cites work: On a QR-Like Algorithm for Some Structured Eigenvalue Problems
full work available at URL: s0001434607090258
OpenAlex ID: W2042807309
description: scientific article; zbMATH DE number 5319863