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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...

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Detalles Bibliográficos
Autores principales: Absil, P.-A (Autor), Sepulchre, R. (Rodolphe), 1967- (Autor), Mahony, R. (Robert), 1967- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Woodstock : Princeton University Press, 2008.
Colección:Book collections on Project MUSE.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario: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.
Descripción Física:1 online resource: illustrations
ISBN:9781400830244