The inverse eigenvalue problem for symmetric quasi anti-bidiagonal matrices
type: Item
instance of: scholarly article
title: The inverse eigenvalue problem for symmetric quasi anti-bidiagonal matrices
zbMATH Open document ID: 1230.15007
author: A. M. Nazari
author: Z. Beiranvand
published in: Applied Mathematics and Computation
publication date: 2011-07-22T00:00:00Z
review text: The authors generalize results obtained by other authors. In particular, they construct a certain symmetric quasi anti-bidiagonal matrix with given eigenvalues and show that this problem is equivalent to the inverse eigenvalue problem for a certain symmetric tridiagonal matrix with the same given eigenvalues. They show how these two matrices are related and give conditions for the existence and uniqueness of the latter matrix. Finally, they give necessary and sufficient conditions for the former matrix to be nonnegative.
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 15A29
zbMATH DE Number: 5931308
zbMATH Keywords: symmetric anti-bidiagonal matrix
zbMATH Keywords: symmetric tridiagonal matrix
zbMATH Keywords: inverse eigenvalue problem
reviewed by: Rabe von Randow
MaRDI profile type: Publication
full work available at URL: j.amc.2011.03.031
OpenAlex ID: W2018718799
cites work: The inverse eigenvalue problem for symmetric anti-bidiagonal matrices
cites work: An inverse eigenvalue problem for symmetrical tridiagonal matrices
cites work: Two inverse eigenvalue problems for a special kind of matrices
cites work: Extremal inverse eigenvalue problem for bordered diagonal matrices
DOI: 10.1016/J.AMC.2011.03.031
description: scientific article; zbMATH DE number 5931308