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Solving SDP completely with an interior point oracle

Published:2021-01-28 Issue:2-3 Volume:36 Page:425-471
ISSN:1055-6788
Container-title:Optimization Methods and Software
language:en
Short-container-title:Optimization Methods and Software

Author:

Lourenço Bruno F.¹^ORCID,Muramatsu Masakazu²,Tsuchiya Takashi³

Affiliation:

1. Department of Statistical Inference and Mathematics, Institute of Statistical Mathematics, Tachikawa, Japan

2. Department of Computer and Network Engineering, The University of Electro-Communications, Chofu-shi, Japan

3. National Graduate Institute for Policy Studies, Minato-ku, Japan

Funder

JSPS

Publisher

Informa UK Limited

Subject

Applied Mathematics,Control and Optimization,Software

Link

https://www.tandfonline.com/doi/pdf/10.1080/10556788.2020.1850720

Reference53 articles.

1. Projections of Convex Programs with Unattained Infima

2. Interior Point Methods in Semidefinite Programming with Applications to Combinatorial Optimization

3. Cones of diagonally dominant matrices

4. Facial reduction for a cone-convex programming problem

5. Regularizing the abstract convex program

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1. Optimal Error Bounds in the Absence of Constraint Qualifications with Applications to p-Cones and Beyond;Mathematics of Operations Research;2024-05-09

2. A new extension of Chubanov’s method to symmetric cones;Mathematical Programming;2023-07-18

3. A limiting analysis on regularization of singular SDP and its implication to infeasible interior-point algorithms;Mathematical Programming;2022-11-07

4. Operator Splitting for a Homogeneous Embedding of the Linear Complementarity Problem;SIAM Journal on Optimization;2021-01

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