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A self-concordance property for nonconvex semidefinite programming

Rodrigo Garcés (), Walter Gómez () and Florian Jarre ()

Mathematical Methods of Operations Research, 2011, vol. 74, issue 1, 77-92

Abstract: The paper considers nonconvex quadratic semidefinite problems. This class arises, for instance, as subproblems in the sequential semidefinite programming algorithm for solving general smooth nonlinear semidefinite problems. We extend locally the concept of self-concordance to problems that satisfy a weak version of the second order sufficient optimality conditions. Copyright Springer-Verlag 2011

Keywords: Semidefinite programming; Second order sufficient condition; Sequential quadratic programming; Self-concordance; Sensitivity; Convergence (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s00186-011-0350-9

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