New Kantorovich’s Theorems for Newton’s Method on Lie Groups for Mappings and Matrix Optimization Problems
Year: 2022
Author: Li Nan
Journal of Information and Computing Science, Vol. 17 (2022), Iss. 2 : pp. 154–160
Abstract
We propose a new Kantorovich theorem for Newton's method on Lie groups for mappings and matrix low-rank optimization problems, which arises from many applications. Under the classical hypothesis of f, we establish the convergence criteria of Newton's method from Lie group to its Lie algebra with weakened conditions, which improves the corresponding results in [20].
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2024-JICS-22356
Journal of Information and Computing Science, Vol. 17 (2022), Iss. 2 : pp. 154–160
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 7
Keywords: Lie group Newton’s method Trace function Lipschitz condition.