Computing the numerical radius
type: Item
instance of: scholarly article
title: Computing the numerical radius
zbMATH Open document ID: 0848.65030
DOI: 10.1016/0024-3795(94)00097-2
published in: Linear Algebra and its Applications
publication date: 1996-10-07T00:00:00Z
review text: The paper deals with the numerical calculation of the numerical radius of a complex matrix. The derived methods consist mainly of matrix-vector multiplications, being based on the power method for calculating the largest eigenvalue (in modulus) of a Hermitian matrix. Computational tests are given to show the efficiency of the proposed algorithm.
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 15A60
zbMATH DE Number: 847498
zbMATH Keywords: computational tests
zbMATH Keywords: numerical radius
zbMATH Keywords: complex matrix
zbMATH Keywords: matrix-vector multiplications
zbMATH Keywords: power method
zbMATH Keywords: largest eigenvalue
zbMATH Keywords: Hermitian matrix
author: G. A. Watson
reviewed by: Florica Luban
MaRDI profile type: Publication
full work available at URL: 0024-3795(94)00097-2
OpenAlex ID: W2085111871
cites work: On the numerical radius of matrices and its application to iterative solution methods
cites work: Q4226179
cites work: On certain finite dimensional numerical ranges and numerical radii†
cites work: On the numerical radius and its applications
cites work: Matrix Analysis
cites work: Q4040931
cites work: Matrix Completions, Norms, and Hadamard Products
cites work: On Minimizing the Maximum Eigenvalue of a Symmetric Matrix
cites work: Large-Scale Optimization of Eigenvalues
description: scientific article; zbMATH DE number 847498