Articles liés à The Theory of Matrices in Numerical Analysis

The Theory of Matrices in Numerical Analysis - Couverture souple

Householder, Alston Scott; Robertson, H.P.

 
9780486449722: The Theory of Matrices in Numerical Analysis
Couverture souple
ISBN 10 : 0486449726 ISBN 13 : 9780486449722
Editeur : Dover Publications Inc., 2006

Synopsis

This text explores aspects of matrix theory that are most useful in developing and appraising computational methods for solving systems of linear equations and for finding characteristic roots. Suitable for advanced undergraduates and graduate students, it assumes an understanding of the general principles of matrix algebra, including the Cayley-Hamilton theorem, characteristic roots and vectors, and linear dependence.
An introductory chapter covers the Lanczos algorithm, orthogonal polynomials, and determinantal identities. Succeeding chapters examine norms, bounds, and convergence; localization theorems and other inequalities; and methods of solving systems of linear equations. The final chapters illustrate the mathematical principles underlying linear equations and their interrelationships. Topics include methods of successive approximation, direct methods of inversion, normalization and reduction of the matrix, and proper values and vectors. Each chapter concludes with a helpful set of references and problems.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Dover Publications Inc.
Date d'édition
2006
Langue
anglais
ISBN 10 
0486449726
ISBN 13 
9780486449722
Reliure
Broché
Nombre de pages
257
Coordonnées du fabricant
non disponible
Personne responsable
Soc. Agr. La Raia Ss
http://www.la-raia.it

Strada Monterotondo, 79
Novi Ligure
15067
Italie