Optimality Conditions for Problems over Symmetric Cones and a Simple Augmented Lagrangian Method-Reference-Cited by-同舟云学术

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Optimality Conditions for Problems over Symmetric Cones and a Simple Augmented Lagrangian Method

Published:2018-11 Issue:4 Volume:43 Page:1233-1251
ISSN:0364-765X
Container-title:Mathematics of Operations Research
language:en
Short-container-title:Mathematics of OR

Author:

Lourenço Bruno F.¹^ORCID,Fukuda Ellen H.²^ORCID,Fukushima Masao³^ORCID

Affiliation:

1. Department of Mathematical Informatics, Graduate School of Information Science and Technology, University of Tokyo, Tokyo 113-8656, Japan

2. Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan

3. Department of Systems and Mathematical Science, Faculty of Science and Engineering, Nanzan University, Nagoya, Aichi 466-8673, Japan

Publisher

Institute for Operations Research and the Management Sciences (INFORMS)

Subject

Management Science and Operations Research,Computer Science Applications,General Mathematics

Reference31 articles.

1. Convexity and differentiability properties of spectral functions and spectral mappings on Euclidean Jordan algebras

2. An accelerated multiplier method for nonlinear programming

3. Practical Augmented Lagrangian Methods for Constrained Optimization

Cited by 4 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. Hessian barrier algorithms for non-convex conic optimization;Mathematical Programming;2024-03-04

2. Optimality Conditions for Nonlinear Second-Order Cone Programming and Symmetric Cone Programming;Journal of Optimization Theory and Applications;2023-12-07

3. On the use of Jordan Algebras for improving global convergence of an Augmented Lagrangian method in nonlinear semidefinite programming;Computational Optimization and Applications;2021-05-10

4. Amenable cones: error bounds without constraint qualifications;Mathematical Programming;2019-11-07

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