Optimization algorithms on matrix manifolds /:
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...
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| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, N.J. ; Woodstock :
Princeton University Press,
©2008.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (xiv, 224 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781400830244 1400830249 |
Internformat
MARC
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| 520 | |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. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |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 | 0 | |a Mathematical optimization. |0 http://id.loc.gov/authorities/subjects/sh85082127 | |
| 650 | 0 | |a Matrices. |0 http://id.loc.gov/authorities/subjects/sh85082210 | |
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| 650 | 6 | |a Algorithmes. | |
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Datensatz im Suchindex
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| author | Absil, P.-A Mahony, R. (Robert), 1967- Sepulchre, R. (Rodolphe), 1967- |
| author_GND | http://id.loc.gov/authorities/names/nb2008002517 http://id.loc.gov/authorities/names/n96106714 |
| author_facet | Absil, P.-A Mahony, R. (Robert), 1967- Sepulchre, R. (Rodolphe), 1967- |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 915 |
| collection | ZDB-4-EBA |
| contents | 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. |
| ctrlnum | (OCoLC)438732716 |
| dewey-full | 518.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 518 - Numerical analysis |
| dewey-raw | 518.1 |
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| dewey-sort | 3518.1 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn438732716 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:16:52Z |
| institution | BVB |
| isbn | 9781400830244 1400830249 |
| language | English |
| oclc_num | 438732716 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xiv, 224 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Princeton University Press, |
| record_format | marc |
| spelling | Absil, P.-A., author. Optimization algorithms on matrix manifolds / P.-A. Absil, R. Mahony, R. Sepulchre. Princeton, N.J. ; Woodstock : Princeton University Press, ©2008. 1 online resource (xiv, 224 pages) : illustrations text txt rdacontent computer c rdamedia online resource 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. Print version record. 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. Mathematical optimization. http://id.loc.gov/authorities/subjects/sh85082127 Matrices. http://id.loc.gov/authorities/subjects/sh85082210 Algorithms. http://id.loc.gov/authorities/subjects/sh85003487 Algorithms https://id.nlm.nih.gov/mesh/D000465 Optimisation mathématique. Matrices. Algorithmes. algorithms. aat MATHEMATICS Numerical Analysis. bisacsh MATHEMATICS Applied. bisacsh Algorithms fast Mathematical optimization fast Matrices fast Matriser (matematik) sao Optimering. sao Algoritmer. sao Mahony, R. (Robert), 1967- author. https://id.oclc.org/worldcat/entity/E39PCjKv3P6Ry6YRfQrvFQmBMX http://id.loc.gov/authorities/names/nb2008002517 Sepulchre, R. (Rodolphe), 1967- author. https://id.oclc.org/worldcat/entity/E39PBJjxxfgVJdvFxhfV68fH4q http://id.loc.gov/authorities/names/n96106714 has work: Optimization algorithms on matrix manifolds (Text) https://id.oclc.org/worldcat/entity/E39PCGxTrRQbFkp9Cg7xmhg4tq https://id.oclc.org/worldcat/ontology/hasWork Print version: Absil, P.-A. Optimization algorithms on matrix manifolds. Princeton, N.J. ; Woodstock : Princeton University Press, ©2008 9780691132983 0691132984 (DLC) 2007927538 (OCoLC)174129993 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=286720 Volltext |
| spellingShingle | Absil, P.-A Mahony, R. (Robert), 1967- Sepulchre, R. (Rodolphe), 1967- Optimization algorithms on matrix manifolds / 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. Mathematical optimization. http://id.loc.gov/authorities/subjects/sh85082127 Matrices. http://id.loc.gov/authorities/subjects/sh85082210 Algorithms. http://id.loc.gov/authorities/subjects/sh85003487 Algorithms https://id.nlm.nih.gov/mesh/D000465 Optimisation mathématique. Matrices. Algorithmes. algorithms. aat MATHEMATICS Numerical Analysis. bisacsh MATHEMATICS Applied. bisacsh Algorithms fast Mathematical optimization fast Matrices fast Matriser (matematik) sao Optimering. sao Algoritmer. sao |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85082127 http://id.loc.gov/authorities/subjects/sh85082210 http://id.loc.gov/authorities/subjects/sh85003487 https://id.nlm.nih.gov/mesh/D000465 |
| 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 | Mathematical optimization. http://id.loc.gov/authorities/subjects/sh85082127 Matrices. http://id.loc.gov/authorities/subjects/sh85082210 Algorithms. http://id.loc.gov/authorities/subjects/sh85003487 Algorithms https://id.nlm.nih.gov/mesh/D000465 Optimisation mathématique. Matrices. Algorithmes. algorithms. aat MATHEMATICS Numerical Analysis. bisacsh MATHEMATICS Applied. bisacsh Algorithms fast Mathematical optimization fast Matrices fast Matriser (matematik) sao Optimering. sao Algoritmer. sao |
| topic_facet | Mathematical optimization. Matrices. Algorithms. Algorithms Optimisation mathématique. Algorithmes. algorithms. MATHEMATICS Numerical Analysis. MATHEMATICS Applied. Mathematical optimization Matrices Matriser (matematik) Optimering. Algoritmer. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=286720 |
| work_keys_str_mv | AT absilpa optimizationalgorithmsonmatrixmanifolds AT mahonyr optimizationalgorithmsonmatrixmanifolds AT sepulchrer optimizationalgorithmsonmatrixmanifolds |