On the pseudounitary \(QR\) algorithm for pseudo-Hermitian matrices
type: Item
instance of: scholarly article
title: On the pseudounitary \(QR\) algorithm for pseudo-Hermitian matrices
zbMATH Open document ID: 0958.65049
published in: Computational Mathematics and Mathematical Physics
publication date: 2001-03-28T00:00:00Z
review text: It is well known that, before applying the \(QR\) algorithm to a Hermitian matrix \(A\), it is usually reduced to tridiagonal form. It is proved that any pseudo-Hermitian matrix can be brought to band form by a unitary similarity transformation. This band form is tridiagonal if the matrix is of the type \((n-1,1)\) or \((1,n-1)\). In this paper a pseudounitary analogue of the \(QR\) algorithm for tridiagonal pseudo-Hermitian matrices is discussed.
Mathematics Subject Classification ID: 65F25
Mathematics Subject Classification ID: 65F15
zbMATH DE Number: 1472894
zbMATH Keywords: unitary transformation
zbMATH Keywords: band form
zbMATH Keywords: \(QR\) algorithm
zbMATH Keywords: tridiagonal pseudo-Hermitian matrices
zbMATH Keywords: algorithm
author: Kh. D. Ikramov
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1472894