caa a22 4500 463169603 CHVBK 20180406164809.0 cr unu---uuuuu 170326e20071201xx s 000 0 eng 10.1007/s10957-007-9270-5 doi (NATIONALLICENCE)springer-10.1007/s10957-007-9270-5 Equivalence of Two Nondegeneracy Conditions for Semidefinite Programs [Elektronische Daten] [M. Flegel, C. Kanzow] Nondegeneracy assumptions are often needed in order to prove the local fast convergence of suitable algorithms as well as in the sensitivity analysis for semidefinite programs. One of the more standard nondegeneracy conditions is the geometric condition used by Alizadeh et al. (Math. Program. 77:111-128, 1997). On the other hand, Kanzow and Nagel (SIAM J. Optim. 15:654-672, 2005) recently introduced an algebraic condition that was used in order to prove, for the first time, the local quadratic convergence of a suitable algorithm for the solution of semidefinite programs without using the strict complementarity assumption. The aim of this paper is to show that these two nondegeneracy conditions are equivalent. Springer Science+Business Media, LLC, 2007 Semidefinite programs nationallicence Nondegeneracy conditions nationallicence Strict complementarity nationallicence Flegel M. Institute of Mathematics, University of Würzburg, Am Hubland, Würzburg, Germany aut Kanzow C. Institute of Mathematics, University of Würzburg, Am Hubland, Würzburg, Germany aut Journal of Optimization Theory and Applications Springer US; http://www.springer-ny.com 135/3(2007-12-01), 381-397 0022-3239 135:3<381 2007 135 10957 https://doi.org/10.1007/s10957-007-9270-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-007-9270-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Flegel M. Institute of Mathematics, University of Würzburg, Am Hubland, Würzburg, Germany aut NATIONALLICENCE 700 1- Kanzow C. Institute of Mathematics, University of Würzburg, Am Hubland, Würzburg, Germany aut NATIONALLICENCE 773 0- Journal of Optimization Theory and Applications Springer US; http://www.springer-ny.com 135/3(2007-12-01), 381-397 0022-3239 135:3<381 2007 135 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer