Holdings: Optimization algorithms on matrix manifolds /

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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Bibliographic Details
Main Authors:	Absil, P.-A (Author), Mahony, R. (Robert), 1967- (Author), Sepulchre, R. (Rodolphe), 1967- (Author)
Format:	Electronic eBook
Language:	English
Published:	Princeton, N.J. ; Woodstock : Princeton University Press, ©2008.
Subjects:	Mathematical optimization. Matrices. Algorithms. Algorithms Optimisation mathématique. Algorithmes. algorithms. MATHEMATICS > Numerical Analysis. MATHEMATICS > Applied. Mathematical optimization Matrices Matriser (matematik) Optimering. Algoritmer. Electronic books.
Online Access:	DE-862 DE-863
Summary:	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.
Physical Description:	1 online resource (xiv, 224 pages) : illustrations
Bibliography:	Includes bibliographical references and index.
ISBN:	9781400830244 1400830249

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author	Absil, P.-A Mahony, R. (Robert), 1967- Sepulchre, R. (Rodolphe), 1967-
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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.
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id	ZDB-4-EBA-ocn438732716
illustrated	Illustrated
indexdate	2025-04-11T08:36:27Z
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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 Electronic books. 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
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. Electronic books.
work_keys_str_mv	AT absilpa optimizationalgorithmsonmatrixmanifolds AT mahonyr optimizationalgorithmsonmatrixmanifolds AT sepulchrer optimizationalgorithmsonmatrixmanifolds

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