Polynomial based iteration methods for symmetric linear systems:
This book provides a concise introduction to computational methods for solving large linear systems of equations. It is the only textbook that treats iteration methods for symmetric linear systems from a polynomial point of view. This particular feature enables readers to understand the convergence...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Philadelphia, Pa.
Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)
2011
|
| Series: | Classics in applied mathematics
68 |
| Subjects: | |
| Online Access: | TUM01 UBW01 UBY01 UER01 Volltext |
| Summary: | This book provides a concise introduction to computational methods for solving large linear systems of equations. It is the only textbook that treats iteration methods for symmetric linear systems from a polynomial point of view. This particular feature enables readers to understand the convergence behavior and subtle differences of the various schemes, which are useful tools for the design of powerful preconditioners. Published nearly 15 years ago, Polynomial Based Iteration Methods for Symmetric Linear Systems continues to be useful to the mathematical, scientific, and engineering communities as a presentation of what appear to be the most efficient methods for symmetric linear systems of equations. To help potential users of numerical iteration algorithms design schemes for their particular needs, the author provides MATLAB code on a supplementary Web page to serve as a guideline. The code not only solves the linear system but also computes the underlying residual polynomials, illustrating the convergence behavior of the given linear system |
| Physical Description: | 1 Online-Ressource (283 Seiten) |
| ISBN: | 9781611971927 |
| DOI: | 10.1137/1.9781611971927 |
Staff View
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| id | DE-604.BV040289669 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:20:52Z |
| institution | BVB |
| isbn | 9781611971927 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025144886 |
| oclc_num | 816193819 |
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| owner_facet | DE-29 DE-91 DE-BY-TUM DE-706 DE-83 DE-20 |
| physical | 1 Online-Ressource (283 Seiten) |
| psigel | ZDB-72-SIA |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) |
| record_format | marc |
| series | Classics in applied mathematics |
| series2 | Classics in applied mathematics |
| spelling | Fischer, Bernd 1936-2020 (DE-588)131935313 aut Polynomial based iteration methods for symmetric linear systems Bernd Fischer Philadelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) 2011 1 Online-Ressource (283 Seiten) txt rdacontent c rdamedia cr rdacarrier Classics in applied mathematics 68 This book provides a concise introduction to computational methods for solving large linear systems of equations. It is the only textbook that treats iteration methods for symmetric linear systems from a polynomial point of view. This particular feature enables readers to understand the convergence behavior and subtle differences of the various schemes, which are useful tools for the design of powerful preconditioners. Published nearly 15 years ago, Polynomial Based Iteration Methods for Symmetric Linear Systems continues to be useful to the mathematical, scientific, and engineering communities as a presentation of what appear to be the most efficient methods for symmetric linear systems of equations. To help potential users of numerical iteration algorithms design schemes for their particular needs, the author provides MATLAB code on a supplementary Web page to serve as a guideline. The code not only solves the linear system but also computes the underlying residual polynomials, illustrating the convergence behavior of the given linear system Iterative methods (Mathematics) Equations / Numerical solutions Polynomials Symmetric operators Orthogonale Polynome (DE-588)4172863-4 gnd rswk-swf Lineares Gleichungssystem (DE-588)4035826-4 gnd rswk-swf Schwach besetzte Matrix (DE-588)4056053-3 gnd rswk-swf Iteration (DE-588)4123457-1 gnd rswk-swf Lineares Gleichungssystem (DE-588)4035826-4 s Schwach besetzte Matrix (DE-588)4056053-3 s Iteration (DE-588)4123457-1 s Orthogonale Polynome (DE-588)4172863-4 s 1\p DE-604 Society for Industrial and Applied Mathematics Sonstige oth Erscheint auch als Druck-Ausgabe 978-1-611971-91-0 (DE-604)BV039600879 Classics in applied mathematics 68 (DE-604)BV040633091 68 https://doi.org/10.1137/1.9781611971927 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Fischer, Bernd 1936-2020 Polynomial based iteration methods for symmetric linear systems Classics in applied mathematics Iterative methods (Mathematics) Equations / Numerical solutions Polynomials Symmetric operators Orthogonale Polynome (DE-588)4172863-4 gnd Lineares Gleichungssystem (DE-588)4035826-4 gnd Schwach besetzte Matrix (DE-588)4056053-3 gnd Iteration (DE-588)4123457-1 gnd |
| subject_GND | (DE-588)4172863-4 (DE-588)4035826-4 (DE-588)4056053-3 (DE-588)4123457-1 |
| title | Polynomial based iteration methods for symmetric linear systems |
| title_auth | Polynomial based iteration methods for symmetric linear systems |
| title_exact_search | Polynomial based iteration methods for symmetric linear systems |
| title_full | Polynomial based iteration methods for symmetric linear systems Bernd Fischer |
| title_fullStr | Polynomial based iteration methods for symmetric linear systems Bernd Fischer |
| title_full_unstemmed | Polynomial based iteration methods for symmetric linear systems Bernd Fischer |
| title_short | Polynomial based iteration methods for symmetric linear systems |
| title_sort | polynomial based iteration methods for symmetric linear systems |
| topic | Iterative methods (Mathematics) Equations / Numerical solutions Polynomials Symmetric operators Orthogonale Polynome (DE-588)4172863-4 gnd Lineares Gleichungssystem (DE-588)4035826-4 gnd Schwach besetzte Matrix (DE-588)4056053-3 gnd Iteration (DE-588)4123457-1 gnd |
| topic_facet | Iterative methods (Mathematics) Equations / Numerical solutions Polynomials Symmetric operators Orthogonale Polynome Lineares Gleichungssystem Schwach besetzte Matrix Iteration |
| url | https://doi.org/10.1137/1.9781611971927 |
| volume_link | (DE-604)BV040633091 |
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