Convergence analysis of Riemannian Gauss–Newton methods and its connection with the geometric condition number-Reference-Cited by-同舟云学术

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Convergence analysis of Riemannian Gauss–Newton methods and its connection with the geometric condition number

Published:2018-04 Issue: Volume:78 Page:42-50
ISSN:0893-9659
Container-title:Applied Mathematics Letters
language:en
Short-container-title:Applied Mathematics Letters

Author:

Breiding Paul,Vannieuwenhoven Nick^ORCID

Funder

DFG

Flanders (FWO)

Publisher

Elsevier BV

Subject

Applied Mathematics

Reference13 articles.

1. A literature survey of low-rank tensor approximation techniques;Grasedyck;GAMM-Mitt.,2013

2. Matrix Perturbation Theory;Stewart,1990

3. Introduction to Smooth Manifolds;Lee,2013

4. Optimization Algorithms on Matrix Manifolds;Absil,2008

5. Condition: The Geometry of Numerical Algorithms;Bürgisser,2013

Cited by 10 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The condition number of many tensor decompositions is invariant under Tucker compression;Numerical Algorithms;2023-06-24

2. Recursive Importance Sketching for Rank Constrained Least Squares: Algorithms and High-Order Convergence;Operations Research;2023-05-02

3. The Average Condition Number of Most Tensor Rank Decomposition Problems is Infinite;Foundations of Computational Mathematics;2022-02-08

4. Spectral residual method for nonlinear equations on Riemannian manifolds;Computational and Applied Mathematics;2021-09-07

5. The Condition Number of Riemannian Approximation Problems;SIAM Journal on Optimization;2021-01

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