| The Theory of Matrices in Numerical Analysis Contributor(s): Householder, Alston Scott (Author) |
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ISBN: 0486449726 ISBN-13: 9780486449722 Publisher: Dover Publications OUR PRICE: $13.46 Product Type: Paperback - Other Formats Published: January 2006 Annotation: Suitable for advanced undergraduates and graduate students, this text presents selected aspects of matrix theory that are most useful in developing computational methods for solving linear equations and finding characteristic roots. Topics include norms, bounds and convergence; localization theorems and other inequalities; and methods of solving systems of linear equations. 1964 edition. |
| Additional Information |
| BISAC Categories: - Mathematics | Matrices |
| Dewey: 518 |
| LCCN: 2005054775 |
| Series: Dover Books on Mathematics |
| Physical Information: 0.61" H x 5.38" W x 8.16" (0.65 lbs) 270 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |