A Riemannian gradient ascent algorithm with applications to orthogonal approximation problems of symmetric tensors

In this paper, we propose an ascent algorithm by exploiting the Riemannian gradient, which is to solve the optimization problems with orthogonality constraints. It applies to orthogonal approximation problems of symmetric tensors. The iteration possesses some nice properties and has the same express...

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Bibliographic Details

Published in:	Applied numerical mathematics Vol. 182; pp. 235 - 247
Main Authors:	Sheng, Zhou, Yang, Weiwei, Wen, Jie
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01.12.2022
Subjects:	Global convergence Riemannian gradient Symmetric tensor Tensor approximation Łojasiewicz gradient inequality Riemannian gradient Global convergence Tensor approximation Łojasiewicz gradient inequality Symmetric tensor
ISSN:	0168-9274, 1873-5460
Online Access:	Get full text
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