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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...
| Autores principales: | , , |
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| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Woodstock :
Princeton University Press,
2008.
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| Colección: | Book collections on Project MUSE.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 001 | musev2_31101 | ||
| 003 | MdBmJHUP | ||
| 005 | 20230905043303.0 | ||
| 006 | m o d | ||
| 007 | cr||||||||nn|n | ||
| 008 | 090924s2008 nju o 00 0 eng d | ||
| 020 | |a 9781400830244 | ||
| 020 | |z 9780691132983 | ||
| 040 | |a MdBmJHUP |c MdBmJHUP | ||
| 100 | 1 | |a Absil, P.-A., |e author. | |
| 245 | 1 | 0 | |a Optimization Algorithms on Matrix Manifolds / |c P.-A. Absil, R. Mahony, R. Sepulchre. |
| 264 | 1 | |a Woodstock : |b Princeton University Press, |c 2008. | |
| 264 | 3 | |a Baltimore, Md. : |b Project MUSE, |c 0000 | |
| 264 | 4 | |c ©2008. | |
| 300 | |a 1 online resource: |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 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. | |
| 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 | |a Description based on print version record. | ||
| 650 | 7 | |a Algoritmer. |2 sao | |
| 650 | 7 | |a Optimering. |2 sao | |
| 650 | 7 | |a Matriser (matematik) |2 sao | |
| 650 | 7 | |a Matrices. |2 fast |0 (OCoLC)fst01012399 | |
| 650 | 7 | |a Mathematical optimization. |2 fast |0 (OCoLC)fst01012099 | |
| 650 | 7 | |a Algorithms. |2 fast |0 (OCoLC)fst00805020 | |
| 650 | 7 | |a MATHEMATICS |x Applied. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Numerical Analysis. |2 bisacsh | |
| 650 | 7 | |a algorithms. |2 aat | |
| 650 | 6 | |a Algorithmes. | |
| 650 | 6 | |a Matrices. | |
| 650 | 6 | |a Optimisation mathematique. | |
| 650 | 2 | |a Algorithms | |
| 650 | 0 | |a Algorithms. | |
| 650 | 0 | |a Matrices. | |
| 650 | 0 | |a Mathematical optimization. | |
| 655 | 0 | |a Electronic book. | |
| 655 | 7 | |a Electronic books. |2 local | |
| 700 | 1 | |a Sepulchre, R. |q (Rodolphe), |d 1967- |e author. | |
| 700 | 1 | |a Mahony, R. |q (Robert), |d 1967- |e author. | |
| 710 | 2 | |a Project Muse. |e distributor | |
| 830 | 0 | |a Book collections on Project MUSE. | |
| 856 | 4 | 0 | |z Texto completo |u https://projectmuse.uam.elogim.com/book/31101/ |
| 945 | |a Project MUSE - Custom Collection | ||