Regular and singular orthants of tridiagonal matrices
type: Item
instance of: scholarly article
title: Regular and singular orthants of tridiagonal matrices
zbMATH Open document ID: 0622.15015
DOI: 10.1016/0024-3795(87)90088-7
author: Sui Sun Cheng
author: Horng-Jaan Li
author: Tzon-Tzer Lu
author: Shu-Hei Wu
published in: Linear Algebra and its Applications
publication date: 1987-01-01T00:00:00Z
review text: The matrix \(\left( \begin{matrix} x\quad 1\\ 1\quad y\end{matrix} \right)\) remains invertible when the diagonal (x,y) varies over two open quadrants in the plane. The authors extend this observation to such tridiagonal matrices of arbitrary size.
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 15A09
zbMATH DE Number: 4008584
zbMATH Keywords: invertibility of tridiagonal matrices
reviewed by: Jaroslav Zemánek
MaRDI profile type: Publication
full work available at URL: 0024-3795(87)90088-7
OpenAlex ID: W1985977346
cites work: Qualitative Economics and the Scope of the Correspondence Principle
cites work: Signsolvability revisited
cites work: Qualitative Problems in Matrix Theory
cites work: Graph-theoretical approach to qualitative solvability of linear systems
description: scientific article; zbMATH DE number 4008584