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Second-order conic optimization (SOCO) can be considered as a special case of semidefinite optimization (SDO).
Lectures on Modern Convex Optimization: Analysis, Algorithms, and Engineering Applications
Aharon Ben-Tal and Arkadi Nemirovski · 2001
Earlier work this paper cites.
Second-order cone programming
Farid Alizadeh and Donald Goldfarb · 2003
Earlier work this paper cites.
A note on treating a second order cone program as a special case of a semidefinite program
Chee-Khian Sim and Gongyun Zhao · 2005
Earlier work this paper cites.
Aspects of Semidefinite Programming: Interior Point Algorithms and Selected Applications
Etienne De Klerk · 2006
Earlier work this paper cites.
Matrix Analysis
Roger A. Horn and Charles R. Johnson · 2012
Cited alongside, same era.
Handbook of Semidefinite Programming: Theory, Algorithms, and Applications
Henry Wolkowicz, Romesh Saigal, and Lieven Vandenberghe · 2012
Cited alongside, same era.
Exact computable representation of some second-order cone constrained quadratic programming problems
Qingwei Jin, Ye Tian, Zhibin Deng, Shu-Cherng Fang, and Wenxun Xing · 2013
Cited alongside, same era.
Automated custom code generation for embedded, real-time second order cone programming
Daniel Dueri, Jing Zhang, and Behçet Açikmese · 2014
Cited alongside, same era.
Further relationship between second-order cone and positive semidefinite matrix cone
Jinchuan Zhou, Jingyong Tang, and Jein-Shan Chen · 2016
Later among the works it cites.
Conic Optimization: Optimal Partition, Parametric, and Stability Analysis
Ali Mohammad-Nezhad · 2019
Later among the works it cites.
Global convergence of algorithms under constant rank conditions for nonlinear second-order cone programming
Roberto Andreani, Gabriel Haeser, Leonardo M Mito, C Héctor Ramírez, and Thiago P Silveira · 2022
Later among the works it cites.
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