Screen LibraryProjection methods for systems of equations /
The solutions of systems of linear and nonlinear equations occurs in many situations and is therefore a question of major interest. Advances in computer technology has made it now possible to consider systems exceeding several hundred thousands of equations. However, there is a crucial need for more...
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| Main Authors: | |
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| Corporate Authors: | |
| Published: |
Elsevier Science,
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| Publisher Address: | Amsterdam ; New York : |
| Publication Dates: | 1997. |
| Literature type: | eBook |
| Language: | English |
| Series: |
Studies in computational mathematics ;
7 |
| Subjects: | |
| Online Access: |
http://www.sciencedirect.com/science/bookseries/1570579X/7 |
| Summary: |
The solutions of systems of linear and nonlinear equations occurs in many situations and is therefore a question of major interest. Advances in computer technology has made it now possible to consider systems exceeding several hundred thousands of equations. However, there is a crucial need for more efficient algorithms. The main focus of this book (except the last chapter, which is devoted to systems of nonlinear equations) is the consideration of solving the problem of the linear equation <IT>Ax = b</IT> by an iterative method. Iterative methods for the solution of this question are descri |
| Carrier Form: | 1 online resource (vii, 400 pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages 341-390) and index. |
| ISBN: |
9780444827777 0444827773 058547429X 9780585474298 |
| Index Number: | QA214 |
| CLC: | O153.4 |
| Contents: | Introduction. 1. Preliminaries. 2. Biorthogonality. 3. Projection Methods for Linear Systems. 4. Lanczos-Type Methods. 5. Hybrid Procedures. 6. Semi-Iterative Methods. 7. Around Richardson's Projection. 8. System of Nonlinear Equations. Appendix. Schur's complement. Sylvester's and Schweins' identities. Bibliography. Index. |