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ERIC Number: EJ963831
Record Type: Journal
Publication Date: 2012
Pages: 10
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0020-739X
Stability of Linear Equations--Algebraic Approach
Cherif, Chokri; Goldstein, Avraham; Prado, Lucio M. G.
International Journal of Mathematical Education in Science and Technology, v43 n1 p118-127 2012
This article could be of interest to teachers of applied mathematics as well as to people who are interested in applications of linear algebra. We give a comprehensive study of linear systems from an application point of view. Specifically, we give an overview of linear systems and problems that can occur with the computed solution when the coefficient matrix is obtained via experimentation. By giving the initial tolerance for the solution, the estimate of the admissible tolerance for the error matrix, and the error of the solution relative to the norm of the computed solution can be determined. The approach we use is standard properties of the Banach algebra on matrices equipped with the spectral norm. (Contains 2 tables, 2 figures, and 1 footnote.)
Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site: http://www.tandf.co.uk/journals
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: Teachers
Language: English
Sponsor: N/A
Authoring Institution: N/A