Computational theory of iterative methods:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
Elsevier
2007
|
| Schriftenreihe: | Studies in computational mathematics
15 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The book is designed for researchers, students and practitioners interested in using fast and efficient iterative methods to approximate solutions of nonlinear equations. The following four major problems are addressed. Problem 1: Show that the iterates are well defined. Problem 2: concerns the convergence of the sequences generated by a process and the question of whether the limit points are, in fact solutions of the equation. Problem 3: concerns the economy of the entire operations. Problem 4: concerns with how to best choose a method, algorithm or software program to solve a specific type of problem and its description of when a given algorithm succeeds or fails. The book contains applications in several areas of applied sciences including mathematical programming and mathematical economics. There is also a huge number of exercises complementing the theory. - Latest convergence results for the iterative methods - Iterative methods with the least computational cost - Iterative methods with the weakest convergence conditions - Open problems on iterative methods Includes bibliographical references and index |
| Beschreibung: | 1 Online-Ressource (xv, 487 p.) |
| ISBN: | 9780444531629 0444531629 9780080560700 0080560709 |
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| 300 | |a 1 Online-Ressource (xv, 487 p.) | ||
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| 490 | 0 | |a Studies in computational mathematics |v 15 | |
| 500 | |a The book is designed for researchers, students and practitioners interested in using fast and efficient iterative methods to approximate solutions of nonlinear equations. The following four major problems are addressed. Problem 1: Show that the iterates are well defined. Problem 2: concerns the convergence of the sequences generated by a process and the question of whether the limit points are, in fact solutions of the equation. Problem 3: concerns the economy of the entire operations. Problem 4: concerns with how to best choose a method, algorithm or software program to solve a specific type of problem and its description of when a given algorithm succeeds or fails. The book contains applications in several areas of applied sciences including mathematical programming and mathematical economics. There is also a huge number of exercises complementing the theory. - Latest convergence results for the iterative methods - Iterative methods with the least computational cost - Iterative methods with the weakest convergence conditions - Open problems on iterative methods | ||
| 500 | |a Includes bibliographical references and index | ||
| 650 | 7 | |a MATHEMATICS / Numerical Analysis |2 bisacsh | |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Argyros, Ioannis K. |
| author_facet | Argyros, Ioannis K. |
| author_role | aut |
| author_sort | Argyros, Ioannis K. |
| author_variant | i k a ik ika |
| building | Verbundindex |
| bvnumber | BV042307028 |
| collection | ZDB-33-ESD ZDB-33-EBS |
| ctrlnum | (ZDB-33-EBS)ocn228148108 (OCoLC)228148108 (DE-599)BVBBV042307028 |
| dewey-full | 518.26 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 518 - Numerical analysis |
| dewey-raw | 518.26 |
| dewey-search | 518.26 |
| dewey-sort | 3518.26 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| spelling | Argyros, Ioannis K. Verfasser aut Computational theory of iterative methods Ioannis K. Argyros Amsterdam Elsevier 2007 1 Online-Ressource (xv, 487 p.) txt rdacontent c rdamedia cr rdacarrier Studies in computational mathematics 15 The book is designed for researchers, students and practitioners interested in using fast and efficient iterative methods to approximate solutions of nonlinear equations. The following four major problems are addressed. Problem 1: Show that the iterates are well defined. Problem 2: concerns the convergence of the sequences generated by a process and the question of whether the limit points are, in fact solutions of the equation. Problem 3: concerns the economy of the entire operations. Problem 4: concerns with how to best choose a method, algorithm or software program to solve a specific type of problem and its description of when a given algorithm succeeds or fails. The book contains applications in several areas of applied sciences including mathematical programming and mathematical economics. There is also a huge number of exercises complementing the theory. - Latest convergence results for the iterative methods - Iterative methods with the least computational cost - Iterative methods with the weakest convergence conditions - Open problems on iterative methods Includes bibliographical references and index MATHEMATICS / Numerical Analysis bisacsh Iterative methods (Mathematics) fast Iterative methods (Mathematics) Iteration (DE-588)4123457-1 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Funktionalanalysis (DE-588)4018916-8 s Iteration (DE-588)4123457-1 s 2\p DE-604 Numerische Mathematik (DE-588)4042805-9 s 3\p DE-604 http://www.sciencedirect.com/science/book/9780444531629 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Argyros, Ioannis K. Computational theory of iterative methods MATHEMATICS / Numerical Analysis bisacsh Iterative methods (Mathematics) fast Iterative methods (Mathematics) Iteration (DE-588)4123457-1 gnd Numerische Mathematik (DE-588)4042805-9 gnd Funktionalanalysis (DE-588)4018916-8 gnd |
| subject_GND | (DE-588)4123457-1 (DE-588)4042805-9 (DE-588)4018916-8 (DE-588)4123623-3 |
| title | Computational theory of iterative methods |
| title_auth | Computational theory of iterative methods |
| title_exact_search | Computational theory of iterative methods |
| title_full | Computational theory of iterative methods Ioannis K. Argyros |
| title_fullStr | Computational theory of iterative methods Ioannis K. Argyros |
| title_full_unstemmed | Computational theory of iterative methods Ioannis K. Argyros |
| title_short | Computational theory of iterative methods |
| title_sort | computational theory of iterative methods |
| topic | MATHEMATICS / Numerical Analysis bisacsh Iterative methods (Mathematics) fast Iterative methods (Mathematics) Iteration (DE-588)4123457-1 gnd Numerische Mathematik (DE-588)4042805-9 gnd Funktionalanalysis (DE-588)4018916-8 gnd |
| topic_facet | MATHEMATICS / Numerical Analysis Iterative methods (Mathematics) Iteration Numerische Mathematik Funktionalanalysis Lehrbuch |
| url | http://www.sciencedirect.com/science/book/9780444531629 |
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