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Projection 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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; New York :
Elsevier Science,
1997.
|
| Colección: | Studies in computational mathematics ;
7. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
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| 100 | 1 | |a Brezinski, Claude, |d 1941- | |
| 245 | 1 | 0 | |a Projection methods for systems of equations / |c Claude Brezinski. |
| 260 | |a Amsterdam ; |a New York : |b Elsevier Science, |c 1997. | ||
| 300 | |a 1 online resource (vii, 400 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Studies in computational mathematics ; |v 7 | |
| 520 | |a 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 described which are based on projections. Recently, such methods have received much attention from researchers in numerical linear algebra and have been applied to a wide range of problems. The book is intended for students and researchers in numerical analysis and for practitioners and engineers who require the most recent methods for solving their particular problem. | ||
| 505 | 0 | |a 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. | |
| 504 | |a Includes bibliographical references (pages 341-390) and index. | ||
| 588 | 0 | |a Print version record. | |
| 546 | |a English. | ||
| 650 | 0 | |a Equations, Simultaneous |x Numerical solutions. | |
| 650 | 0 | |a Iterative methods (Mathematics) | |
| 650 | 6 | |a Syst�emes d'�equations |x Solutions num�eriques. |0 (CaQQLa)201-0263675 | |
| 650 | 6 | |a It�eration (Math�ematiques) |0 (CaQQLa)201-0091650 | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Elementary. |2 bisacsh | |
| 650 | 7 | |a Equations, Simultaneous |x Numerical solutions |2 fast |0 (OCoLC)fst00914517 | |
| 650 | 7 | |a Iterative methods (Mathematics) |2 fast |0 (OCoLC)fst00980827 | |
| 650 | 7 | |a Gleichungssystem |2 gnd |0 (DE-588)4128766-6 | |
| 650 | 7 | |a Projektionsverfahren |2 gnd |0 (DE-588)4175879-1 | |
| 650 | 1 | 7 | |a Lineaire vergelijkingen. |2 gtt |
| 650 | 1 | 7 | |a Projectiemethoden (wiskunde) |2 gtt |
| 776 | 0 | 8 | |i Print version: |a Brezinski, Claude, 1941- |t Projection methods for systems of equations. |d Amsterdam ; New York : Elsevier Science, 1997 |z 0444827773 |z 9780444827777 |w (DLC) 97043588 |w (OCoLC)37928481 |
| 830 | 0 | |a Studies in computational mathematics ; |v 7. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780444827777 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=1570579X&volume=7 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/1570579X/7 |z Texto completo |