Riemannian Optimization and Its Applications is popular PDF and ePub book, written by Hiroyuki Sato in 2021-02-17, it is a fantastic choice for those who relish reading online the Technology & Engineering genre. Let's immerse ourselves in this engaging Technology & Engineering book by exploring the summary and details provided below. Remember, Riemannian Optimization and Its Applications can be Read Online from any device for your convenience.
Riemannian Optimization and Its Applications Book PDF Summary
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.
Detail Book of Riemannian Optimization and Its Applications PDF
- Author : Hiroyuki Sato
- Release : 17 February 2021
- Publisher : Springer Nature
- ISBN : 9783030623913
- Genre : Technology & Engineering
- Total Page : 129 pages
- Language : English
- PDF File Size : 16,8 Mb
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