The Theory of Matrices in Numerical Analysis (Dover Books on Mathema 1.4tics) - Softcover

Householder, Alston Scott; Robertson, H.P.

Softcover

ISBN 10: 0486449726 ISBN 13: 9780486449722

Publisher: 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.

About this title

Product Description

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Edition details

• Publisher: Dover Publications Inc.
• Publication date: 2006
• Language: English
• ISBN 10: 0486449726
• ISBN 13: 9780486449722
• Binding: Paperback
• Number of pages: 257