Iterative Krylov methods for large linear systems /:
Based on extensive teaching by the author, this book presents an overview of a number of Krylov projection methods for the solution of linear systems of equations. There are a large number of references for further reading as well as exercises to help students as they first encounter the material.
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
2003.
|
| Schriftenreihe: | Cambridge monographs on applied and computational mathematics ;
13. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Based on extensive teaching by the author, this book presents an overview of a number of Krylov projection methods for the solution of linear systems of equations. There are a large number of references for further reading as well as exercises to help students as they first encounter the material. |
| Beschreibung: | 1 online resource (xiii, 221 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 205-217) and index. |
| ISBN: | 0521818281 9780521818285 051106134X 9780511061349 0511069804 9780511069802 9780511615115 0511615116 |
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| author | Vorst, H. A. van der, 1944- |
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| contents | Cover; Half-title; Series-title; Title; Copyright; Contents; Preface; 1 Introduction; 2 Mathematical preliminaries; 3 Basic iteration methods; 4 Construction of approximate solutions; 5 The Conjugate Gradients method; 6 GMRES and MINRES; 7 Bi-Conjugate Gradients; 8 How serious is irregular convergence?; 9 Bi-CGSTAB; 10 Solution of singular systems; 11 Solution of f (A)x = b with Krylov subspace information; 12 Miscellaneous; 13 Preconditioning; References; Index. |
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| indexdate | 2024-11-27T13:15:54Z |
| institution | BVB |
| isbn | 0521818281 9780521818285 051106134X 9780511061349 0511069804 9780511069802 9780511615115 0511615116 |
| language | English |
| lccn | 2002035013 |
| oclc_num | 70747269 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xiii, 221 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Cambridge University Press, |
| record_format | marc |
| series | Cambridge monographs on applied and computational mathematics ; |
| series2 | Cambridge monographs on applied and computational mathematics ; |
| spelling | Vorst, H. A. van der, 1944- https://id.oclc.org/worldcat/entity/E39PBJr3BHCfCmYVpG9fMXWJjC http://id.loc.gov/authorities/names/n87872096 Iterative Krylov methods for large linear systems / Henk A. van der Vorst. Cambridge ; New York : Cambridge University Press, 2003. 1 online resource (xiii, 221 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file Cambridge monographs on applied and computational mathematics ; v. 13 Includes bibliographical references (pages 205-217) and index. Cover; Half-title; Series-title; Title; Copyright; Contents; Preface; 1 Introduction; 2 Mathematical preliminaries; 3 Basic iteration methods; 4 Construction of approximate solutions; 5 The Conjugate Gradients method; 6 GMRES and MINRES; 7 Bi-Conjugate Gradients; 8 How serious is irregular convergence?; 9 Bi-CGSTAB; 10 Solution of singular systems; 11 Solution of f (A)x = b with Krylov subspace information; 12 Miscellaneous; 13 Preconditioning; References; Index. Based on extensive teaching by the author, this book presents an overview of a number of Krylov projection methods for the solution of linear systems of equations. There are a large number of references for further reading as well as exercises to help students as they first encounter the material. Print version record. Iterative methods (Mathematics) http://id.loc.gov/authorities/subjects/sh85069058 Linear systems. http://id.loc.gov/authorities/subjects/sh85077183 Itération (Mathématiques) Systèmes linéaires. MATHEMATICS General. bisacsh Iterative methods (Mathematics) fast Linear systems fast Krylov-Verfahren gnd http://d-nb.info/gnd/4425226-2 Iteration gnd http://d-nb.info/gnd/4123457-1 Lineares Gleichungssystem gnd http://d-nb.info/gnd/4035826-4 Electronic books. Print version: Vorst, H.A. van der, 1944- Iterative Krylov methods for large linear systems. Cambridge ; New York : Cambridge University Press, 2003 (DLC) 2002035013 Cambridge monographs on applied and computational mathematics ; 13. http://id.loc.gov/authorities/names/n95073089 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=120337 Volltext |
| spellingShingle | Vorst, H. A. van der, 1944- Iterative Krylov methods for large linear systems / Cambridge monographs on applied and computational mathematics ; Cover; Half-title; Series-title; Title; Copyright; Contents; Preface; 1 Introduction; 2 Mathematical preliminaries; 3 Basic iteration methods; 4 Construction of approximate solutions; 5 The Conjugate Gradients method; 6 GMRES and MINRES; 7 Bi-Conjugate Gradients; 8 How serious is irregular convergence?; 9 Bi-CGSTAB; 10 Solution of singular systems; 11 Solution of f (A)x = b with Krylov subspace information; 12 Miscellaneous; 13 Preconditioning; References; Index. Iterative methods (Mathematics) http://id.loc.gov/authorities/subjects/sh85069058 Linear systems. http://id.loc.gov/authorities/subjects/sh85077183 Itération (Mathématiques) Systèmes linéaires. MATHEMATICS General. bisacsh Iterative methods (Mathematics) fast Linear systems fast Krylov-Verfahren gnd http://d-nb.info/gnd/4425226-2 Iteration gnd http://d-nb.info/gnd/4123457-1 Lineares Gleichungssystem gnd http://d-nb.info/gnd/4035826-4 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85069058 http://id.loc.gov/authorities/subjects/sh85077183 http://d-nb.info/gnd/4425226-2 http://d-nb.info/gnd/4123457-1 http://d-nb.info/gnd/4035826-4 |
| title | Iterative Krylov methods for large linear systems / |
| title_auth | Iterative Krylov methods for large linear systems / |
| title_exact_search | Iterative Krylov methods for large linear systems / |
| title_full | Iterative Krylov methods for large linear systems / Henk A. van der Vorst. |
| title_fullStr | Iterative Krylov methods for large linear systems / Henk A. van der Vorst. |
| title_full_unstemmed | Iterative Krylov methods for large linear systems / Henk A. van der Vorst. |
| title_short | Iterative Krylov methods for large linear systems / |
| title_sort | iterative krylov methods for large linear systems |
| topic | Iterative methods (Mathematics) http://id.loc.gov/authorities/subjects/sh85069058 Linear systems. http://id.loc.gov/authorities/subjects/sh85077183 Itération (Mathématiques) Systèmes linéaires. MATHEMATICS General. bisacsh Iterative methods (Mathematics) fast Linear systems fast Krylov-Verfahren gnd http://d-nb.info/gnd/4425226-2 Iteration gnd http://d-nb.info/gnd/4123457-1 Lineares Gleichungssystem gnd http://d-nb.info/gnd/4035826-4 |
| topic_facet | Iterative methods (Mathematics) Linear systems. Itération (Mathématiques) Systèmes linéaires. MATHEMATICS General. Linear systems Krylov-Verfahren Iteration Lineares Gleichungssystem Electronic books. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=120337 |
| work_keys_str_mv | AT vorsthavander iterativekrylovmethodsforlargelinearsystems |