Optimization algorithms on matrix manifolds:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Princeton, N.J.
Princeton University Press
©2008
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| Subjects: | |
| Online Access: | FAW01 FAW02 Volltext |
| Item Description: | Includes bibliographical references and index Many problems in the sciences and engineering can be rephrased as optimization problems on matrix search spaces endowed with a so-called manifold structure. This book shows how to exploit the special structure of such problems to develop efficient numerical algorithms. It places careful emphasis on both the numerical formulation of the algorithm and its differential geometric abstraction--illustrating how good algorithms draw equally from the insights of differential geometry, optimization, and numerical analysis. Two more theoretical chapters provide readers with the background in differentia Introduction -- Motivation and applications -- Matrix manifolds : first-order geometry -- Line-search algorithms on manifolds -- Matrix manifolds : second-order geometry -- Newton's method -- Trust-region methods -- A constellation of superlinear algorithms |
| Physical Description: | 1 Online-Ressource (xiv, 224 pages) |
| ISBN: | 1400830249 9781400830244 |
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| 245 | 1 | 0 | |a Optimization algorithms on matrix manifolds |c P.-A. Absil, R. Mahony, R. Sepulchre |
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| 500 | |a Includes bibliographical references and index | ||
| 500 | |a Many problems in the sciences and engineering can be rephrased as optimization problems on matrix search spaces endowed with a so-called manifold structure. This book shows how to exploit the special structure of such problems to develop efficient numerical algorithms. It places careful emphasis on both the numerical formulation of the algorithm and its differential geometric abstraction--illustrating how good algorithms draw equally from the insights of differential geometry, optimization, and numerical analysis. Two more theoretical chapters provide readers with the background in differentia | ||
| 500 | |a Introduction -- Motivation and applications -- Matrix manifolds : first-order geometry -- Line-search algorithms on manifolds -- Matrix manifolds : second-order geometry -- Newton's method -- Trust-region methods -- A constellation of superlinear algorithms | ||
| 650 | 4 | |a Optimisation mathématique | |
| 650 | 4 | |a Matrices | |
| 650 | 4 | |a Algorithmes | |
| 650 | 7 | |a MATHEMATICS / Numerical Analysis |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS / Applied |2 bisacsh | |
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| 650 | 7 | |a Matrices |2 fast | |
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| 650 | 4 | |a Matrices | |
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| 650 | 0 | 7 | |a Newton-Verfahren |0 (DE-588)4171693-0 |2 gnd |9 rswk-swf |
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| 700 | 1 | |a Sepulchre, R. |e Sonstige |4 oth | |
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Record in the Search Index
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| author | Absil, P.-A |
| author_facet | Absil, P.-A |
| author_role | aut |
| author_sort | Absil, P.-A |
| author_variant | p a a paa |
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| bvnumber | BV043109470 |
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| ctrlnum | (OCoLC)438732716 (DE-599)BVBBV043109470 |
| dewey-full | 518.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 518 - Numerical analysis |
| dewey-raw | 518.1 |
| dewey-search | 518.1 |
| dewey-sort | 3518.1 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043109470 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:17:42Z |
| institution | BVB |
| isbn | 1400830249 9781400830244 |
| language | English |
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| oclc_num | 438732716 |
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| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xiv, 224 pages) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2008 |
| publishDateSearch | 2008 |
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| publisher | Princeton University Press |
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| spelling | Absil, P.-A. Verfasser aut Optimization algorithms on matrix manifolds P.-A. Absil, R. Mahony, R. Sepulchre Princeton, N.J. Princeton University Press ©2008 1 Online-Ressource (xiv, 224 pages) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references and index Many problems in the sciences and engineering can be rephrased as optimization problems on matrix search spaces endowed with a so-called manifold structure. This book shows how to exploit the special structure of such problems to develop efficient numerical algorithms. It places careful emphasis on both the numerical formulation of the algorithm and its differential geometric abstraction--illustrating how good algorithms draw equally from the insights of differential geometry, optimization, and numerical analysis. Two more theoretical chapters provide readers with the background in differentia Introduction -- Motivation and applications -- Matrix manifolds : first-order geometry -- Line-search algorithms on manifolds -- Matrix manifolds : second-order geometry -- Newton's method -- Trust-region methods -- A constellation of superlinear algorithms Optimisation mathématique Matrices Algorithmes MATHEMATICS / Numerical Analysis bisacsh MATHEMATICS / Applied bisacsh Algorithms fast Mathematical optimization fast Matrices fast Mathematical optimization Algorithms Newton-Verfahren (DE-588)4171693-0 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 s Newton-Verfahren (DE-588)4171693-0 s 1\p DE-604 Mahony, R. Sonstige oth Sepulchre, R. Sonstige oth Erscheint auch als Druck-Ausgabe, Hardcover 0-691-13298-4 Erscheint auch als Druck-Ausgabe, Hardcover 978-0-691-13298-3 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=286720 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Absil, P.-A Optimization algorithms on matrix manifolds Optimisation mathématique Matrices Algorithmes MATHEMATICS / Numerical Analysis bisacsh MATHEMATICS / Applied bisacsh Algorithms fast Mathematical optimization fast Matrices fast Mathematical optimization Algorithms Newton-Verfahren (DE-588)4171693-0 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd |
| subject_GND | (DE-588)4171693-0 (DE-588)4037379-4 |
| title | Optimization algorithms on matrix manifolds |
| title_auth | Optimization algorithms on matrix manifolds |
| title_exact_search | Optimization algorithms on matrix manifolds |
| title_full | Optimization algorithms on matrix manifolds P.-A. Absil, R. Mahony, R. Sepulchre |
| title_fullStr | Optimization algorithms on matrix manifolds P.-A. Absil, R. Mahony, R. Sepulchre |
| title_full_unstemmed | Optimization algorithms on matrix manifolds P.-A. Absil, R. Mahony, R. Sepulchre |
| title_short | Optimization algorithms on matrix manifolds |
| title_sort | optimization algorithms on matrix manifolds |
| topic | Optimisation mathématique Matrices Algorithmes MATHEMATICS / Numerical Analysis bisacsh MATHEMATICS / Applied bisacsh Algorithms fast Mathematical optimization fast Matrices fast Mathematical optimization Algorithms Newton-Verfahren (DE-588)4171693-0 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd |
| topic_facet | Optimisation mathématique Matrices Algorithmes MATHEMATICS / Numerical Analysis MATHEMATICS / Applied Algorithms Mathematical optimization Newton-Verfahren Mannigfaltigkeit |
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