2012Americanae (AECID Library)Open access

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

Rodrigo Garcés, Walter Gómez, Florian Jarre

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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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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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Available 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.

Key concepts: Semidefinite programming, Quadratically constrained quadratic program, Semidefinite embedding, Quadratic programming, Second-order cone programming, Quadratic equation, Mathematics, Sensitivity (control systems)

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