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Viser: The Theory of Matrices in Numerical Analysis
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The Theory of Matrices in Numerical Analysis Vital Source e-bog
Alston S. Householder
(2013)
Dover Publications
170,00 kr.
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The Theory of Matrices in Numerical Analysis
Alston S. Householder
(2006)
Sprog: Engelsk
Dover Publications, Incorporated
147,00 kr.
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Detaljer om varen
- Vital Source searchable e-book (Reflowable pages): 272 sider
- Udgiver: Dover Publications (Juni 2013)
- ISBN: 9780486145631
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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Bookshelf online: 5 år fra købsdato.
Bookshelf appen: ubegrænset dage fra købsdato.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: -1 sider kan printes ad gangen
Copy: højest -1 sider i alt kan kopieres (copy/paste)
Detaljer om varen
- Paperback: 257 sider
- Udgiver: Dover Publications, Incorporated (Marts 2006)
- ISBN: 9780486449722
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.
1. Some Basic Identities and Inequalities2. Norms, Bounds and Convergence3. Localization Theorems and Other Inequalities4. The Solution of Linear Systems: Methods of Successive Approximation5. Direct Methods of Inversion6. Proper Values and Vectors: Normalization and Reduction of the Matrix7. Proper Values and Vectors: Successive ApproximationBibliographyIndex
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