Further relationship between second-order cone and positive semidefinite matrix cone

DOI10.1080/02331934.2016.1220553zbMath1373.90099OpenAlexW2518235024MaRDI QIDQ2836094

Jingyong Tang, Jein-Shan Chen, Jin Chuan Zhou

Publication date: 7 December 2016

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2016.1220553

zbMATH Keywords

optimality conditionssecond-order conepositive semidefinite matrix cone

Mathematics Subject Classification ID

Semidefinite programming (90C22) Optimality conditions and duality in mathematical programming (90C46) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (1)

No Gap Second-Order Optimality Conditions for Circular Conic Programs

Cites Work

• Analysis of nonsmooth vector-valued functions associated with second-order cones.
• Applications of second-order cone programming
• Second-order cone programming
• A note on treating a second order cone program as a special case of a semidefinite program
• Perturbation analysis of second-order cone programming problems
• An unconstrained smooth minimization reformulation of the second-order cone complementarity problem
• Smoothing Functions for Second-Order-Cone Complementarity Problems
• Matrix Analysis
• Variational Analysis
• Second Order Cone Programming Relaxation of a Positive Semidefinite Constraint
• The Strong Second-Order Sufficient Condition and Constraint Nondegeneracy in Nonlinear Semidefinite Programming and Their Implications

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