A self-concordance property for nonconvex semidefinite programming |
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| Authors: | Rodrigo Garcés Walter Gómez Florian Jarre |
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| Affiliation: | 1.Programa Magister en Ciencias de la Ingeniería mención Modelación Matemática,Universidad de La Frontera,Temuco,Chile;2.Departmento de Ingeniería Matemática,Universidad de La Frontera,Temuco,Chile;3.Institut für Mathematik,Universit?t Düsseldorf,Düsseldorf,Germany |
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| 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. |
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