Upper bound of the condition number in spectral norm of tridiagonal matrices
type: Item
instance of: scholarly article
title: Upper bound of the condition number in spectral norm of tridiagonal matrices
zbMATH Open document ID: 0770.65031
DOI: 10.1007/BF02576763
author: S. Singh
published in: Calcolo
publication date: 1993-05-24T00:00:00Z
review text: The authors propose and analyze a new algorithm to bound the condition number in spectral norm of a tridiagonal matrix with nonzero leading principal minors. Examples are given to illustrate the efficiency of the suggested algorithm.
Mathematics Subject Classification ID: 65F35
zbMATH DE Number: 165192
zbMATH Keywords: algorithm
zbMATH Keywords: condition number
zbMATH Keywords: spectral norm
zbMATH Keywords: tridiagonal matrix
reviewed by: Muhammad Aslam Noor
MaRDI profile type: Publication
cites work: An Estimate for the Condition Number of a Matrix
cites work: Q3993144
cites work: An Example of Ill-Conditioning in the Numerical Solution of Singular Perturbation Problems
cites work: Properties of Some Tridiagonal Matrices and Their Application to Boundary Value Problems
cites work: A Survey of Condition Number Estimation for Triangular Matrices
cites work: Efficient Algorithms for Computing the Condition Number of a Tridiagonal Matrix
cites work: Bounds for the condition number of a class of tridiagonal and block tridiagonal matrices
full work available at URL: https://doi.org/10.1007/bf02576763
OpenAlex ID: W2094098922
description: scientific article; zbMATH DE number 165192