Stability of Linear Equations--Algebraic Approach

Autor/inn/en	Cherif, Chokri; Goldstein, Avraham; Prado, Lucio M. G.
Titel	Stability of Linear Equations--Algebraic Approach
Quelle	In: International Journal of Mathematical Education in Science and Technology, 43 (2012) 1, S.118-127 (10 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
DOI	10.1080/0020739X.2011.573870
Schlagwörter	Statistical Data; Matrices; Mathematics Instruction; Equations (Mathematics); Mathematical Concepts; Problem Solving; Algebra; College Mathematics; Engineering + Suchen Sie Ihr Suchwort? Matrizenrechnung; Mathematics lessons; Mathematikunterricht; Equations; Mathematics; Gleichungslehre; Problemlösen; Maschinenbau
Abstract	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.) (As Provided).
Anmerkungen	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
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10