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Riemannian Optimization and Its ApplicationsUnconstrained Optimization on Riemannian Manifolds

Riemannian Optimization and Its Applications: Unconstrained Optimization on Riemannian Manifolds [In this chapter, we introduce the concept of a Riemannian manifold, based on which Riemannian optimization is developed. We also introduce the concept of a retraction, which is important when searching for the next point in an optimization procedure. Furthermore, using a retraction, we discuss one of the simplest optimization methods, the steepest descent method, on Riemannian manifolds.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Riemannian Optimization and Its ApplicationsUnconstrained Optimization on Riemannian Manifolds

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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
37 –64
DOI
10.1007/978-3-030-62391-3_3
Publisher site
See Chapter on Publisher Site

Abstract

[In this chapter, we introduce the concept of a Riemannian manifold, based on which Riemannian optimization is developed. We also introduce the concept of a retraction, which is important when searching for the next point in an optimization procedure. Furthermore, using a retraction, we discuss one of the simplest optimization methods, the steepest descent method, on Riemannian manifolds.]

Published: Feb 18, 2021

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