A note on treating a second order cone program as a special case of a semidefinite program

DOI10.1007/s10107-004-0546-3zbMath1059.90118OpenAlexW1971066663WikidataQ58028379 ScholiaQ58028379MaRDI QIDQ1774167

Chee-Khian Sim, Gongyun Zhao

Publication date: 29 April 2005

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10107-004-0546-3

Mathematics Subject Classification ID

Semidefinite programming (90C22)

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Two classes of merit functions for the second-order cone complementarity problem ⋮ On the sensitivity of the optimal partition for parametric second-order conic optimization ⋮ Conditions for error bounds and bounded level sets of some merit functions for the second-order cone complementarity problem ⋮ A modified smoothing and regularized Newton method for monotone second-order cone complementarity problems ⋮ Further relationship between second-order cone and positive semidefinite matrix cone ⋮ Perturbation analysis of second-order cone programming problems ⋮ An unconstrained smooth minimization reformulation of the second-order cone complementarity problem

Cites Work

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• A convergence analysis of the scaling-invariant primal-dual path-following algorithms for second-order cone programming
• On the Convergence of the Central Path in Semidefinite Optimization
• Primal-Dual Interior-Point Methods for Second-Order Conic Optimization Based on Self-Regular Proximities