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Riemannian Optimization and Its ApplicationsPreliminaries and Overview of Euclidean Optimization

Riemannian Optimization and Its Applications: Preliminaries and Overview of Euclidean Optimization [In this chapter, we briefly review some mathematical concepts as preliminaries for our discussion of Riemannian optimization; these concepts range from linear algebra to general topology and include Euclidean optimization. Although readers are expected to have basic knowledge of linear algebra and calculus, we review some aspects of these topics in consideration of their relationship to manifolds. One of our goals is to establish a foundation for discussion of Riemannian optimization; therefore, throughout this chapter, we note important information where appropriate.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Riemannian Optimization and Its ApplicationsPreliminaries and Overview of Euclidean Optimization

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Publisher
Springer International Publishing
Copyright
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
ISBN
978-3-030-62389-0
Pages
13 –36
DOI
10.1007/978-3-030-62391-3_2
Publisher site
See Chapter on Publisher Site

Abstract

[In this chapter, we briefly review some mathematical concepts as preliminaries for our discussion of Riemannian optimization; these concepts range from linear algebra to general topology and include Euclidean optimization. Although readers are expected to have basic knowledge of linear algebra and calculus, we review some aspects of these topics in consideration of their relationship to manifolds. One of our goals is to establish a foundation for discussion of Riemannian optimization; therefore, throughout this chapter, we note important information where appropriate.]

Published: Feb 18, 2021

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