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A sensitivity result for quadratic semidefinite programs with an application to a sequential quadratic semidefinite programming algorithm

DOI: 10.1590/S1807-03022012000100011

Keywords: semidefinite programming, second order sufficient condition, sequential quadratic programming, quadratic semidefinite programming, sensitivity, convergence.

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Abstract:

in this short note a sensitivity result for quadratic semidefinite programming is presented under a weak form of second order sufficient condition. based on this result, also the local convergence of a sequential quadratic semidefinite programming algorithm extends to this weak second order sufficient condition. mathematical subject classification: 90c22, 90c30, 90c31, 90c55.

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