The Theory of Matrices in Numerical Analysis (Dover Books on Mathematics) - Softcover

Householder, Alston Scott

 
9780486449722: The Theory of Matrices in Numerical Analysis (Dover Books on Mathematics)
Softcover
ISBN 10: 0486449726 ISBN 13: 9780486449722
Verlag: DOVER PUBN INC, 2006

Inhaltsangabe

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.

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Verlag
DOVER PUBN INC
Erscheinungsdatum
2006
Sprache
Englisch
ISBN 10 
0486449726
ISBN 13 
9780486449722
Einband
Taschenbuch
Anzahl der Seiten
257
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Soc. Agr. La Raia Ss
http://www.la-raia.it

Strada Monterotondo, 79
Novi Ligure
15067
Italien

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