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New Kantorovich’s Theorems for Newton’s Method on Lie Groups for Mappings and Matrix Optimization Problems

 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.

Author Details

Li Nan