The canonical Schur form of a unitarily quasidiagonalizable matrix
type: Item
instance of: scholarly article
title: The canonical Schur form of a unitarily quasidiagonalizable matrix
zbMATH Open document ID: 0944.15011
published in: Computational Mathematics and Mathematical Physics
publication date: 2000-06-29T00:00:00Z
review text: The geometrical and computational interpretation of the nonzero off-diagonal element of the canonical Schur form are given. For the class of unitary quasidiagonalizable matrices, a unique Schur form is singled out in the set of all Schur forms. This particular form can be considered as the canonical one. The quasidiagonalizability as a property of a matrix \(A\) is shown to admit a characterization in terms of a finite set of equations in \(A\) and \(A^{\star}\). It is proven that the class of quasidiagonalizable matrices contains all matrices with quadratic minimal polynomials.
Mathematics Subject Classification ID: 15A21
zbMATH DE Number: 1467479
zbMATH Keywords: canonical Schur form
zbMATH Keywords: unitary quasidiagonalizable matrices
zbMATH Keywords: quadratic minimal polynomials
author: Kh. D. Ikramov
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1467479