Some remarks on matrix norms, condition numbers, and error estimates for linear equations
type: Item
instance of: scholarly article
title: Some remarks on matrix norms, condition numbers, and error estimates for linear equations
zbMATH Open document ID: 0654.15018
DOI: 10.1016/0024-3795(83)90130-1
author: Gerhard Zielke
published in: Linear Algebra and its Applications
publication date: 1988-01-01T00:00:00Z
review text: The author considers the relations between some norms of rectangular matrices and the corresponding condition numbers. The complete set of equivalence relationships between six matrix norms is arranged in a diagram. Some well known error estimates for linear equations in the nonsingular case are extended.
Mathematics Subject Classification ID: 15A60
Mathematics Subject Classification ID: 65F35
zbMATH DE Number: 4067117
zbMATH Keywords: norms
zbMATH Keywords: condition numbers
zbMATH Keywords: error estimates
reviewed by: Shaokuan Li
MaRDI profile type: Publication
full work available at URL: 0024-3795(83)90130-1
OpenAlex ID: W2009903396
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description: scientific article; zbMATH DE number 4067117