Abstract

GARCES, Rodrigo; GOMEZ, Walter  and  JARRE, Florian. A sensitivity result for quadratic semidefinite programs with an application to a sequential quadratic semidefinite programming algorithm. Comput. Appl. Math. [online]. 2012, vol.31, n.1, pp. 205-218. ISSN 1807-0302.  http://dx.doi.org/10.1590/S1807-03022012000100011.

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.

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