Solving the Trust-Region Subproblem By a Generalized Eigenvalue Problem-Reference-Cited by-同舟云学术

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Solving the Trust-Region Subproblem By a Generalized Eigenvalue Problem

Published:2017-01 Issue:1 Volume:27 Page:269-291
ISSN:1052-6234
Container-title:SIAM Journal on Optimization
language:en
Short-container-title:SIAM J. Optim.

Author:

Adachi Satoru,Iwata Satoru,Nakatsukasa Yuji,Takeda Akiko

Funder

Japan Society for the Promotion of Science

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Theoretical Computer Science,Software

Link

http://epubs.siam.org/doi/pdf/10.1137/16M1058200

Reference30 articles.

1. Second-Order-Cone Constraints for Extended Trust-Region Subproblems

2. A Subspace Minimization Method for the Trust-Region Step

3. Iterative Methods for Finding a Trust-region Step

4. On the Stationary Values of a Second-Degree Polynomial on the Unit Sphere

5. The trust region subproblem and semidefinite programming*

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1. First-Order Perturbation Theory of Trust-Region Subproblem;IMA Journal of Numerical Analysis;2024-07-07

2. Fast and Accurate Randomized Algorithms for Linear Systems and Eigenvalue Problems;SIAM Journal on Matrix Analysis and Applications;2024-06-20

3. Convergence of the block Lanczos method for the trust‐region subproblem in the hard case;Numerical Linear Algebra with Applications;2024-05-07

4. A Block Lanczos Method for Large-Scale Quadratic Minimization Problems with Orthogonality Constraints;SIAM Journal on Scientific Computing;2024-03-08

5. Worst-Case Complexity of TRACE with Inexact Subproblem Solutions for Nonconvex Smooth Optimization;SIAM Journal on Optimization;2023-08-18

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