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Riemannian Optimization and Its Applications
Engelsk Paperback
Riemannian Optimization and Its Applications
Engelsk Paperback

621 kr
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Om denne bog

This brief describes the basics of Riemannian optimization-optimization on Riemannian manifolds-introduces algorithms for Riemannian optimization problems, discusses the theoretical properties of these algorithms, and suggests possible applications of Riemannian optimization to problems in other fields.

To provide the reader with a smooth introduction to Riemannian optimization, brief reviews of mathematical optimization in Euclidean spaces and Riemannian geometry are included. Riemannian optimization is then introduced by merging these concepts. In particular, the Euclidean and Riemannian conjugate gradient methods are discussed in detail. A brief review of recent developments in Riemannian optimization is also provided.
 
Riemannian optimization methods are applicable to many problems in various fields. This brief discusses some important applications including the eigenvalue and singular value decompositions in numerical linear algebra, optimal model reduction in control engineering, and canonical correlation analysis in statistics.

Product detaljer
Sprog:
Engelsk
Sider:
129
ISBN-13:
9783030623890
Indbinding:
Paperback
Udgave:
ISBN-10:
3030623890
Udg. Dato:
18 feb 2021
Længde:
14mm
Bredde:
154mm
Højde:
234mm
Forlag:
Springer Nature Switzerland AG
Oplagsdato:
18 feb 2021
Forfatter(e):
Kategori sammenhænge