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|Title:||The strong second-order sufficient condition and constraint nondegeneracy in nonlinear semidefinite programming and their implications|
Nonlinear semidefinite programming
Strong second-order sufficient condition
|Source:||Sun, D. (2006-11). The strong second-order sufficient condition and constraint nondegeneracy in nonlinear semidefinite programming and their implications. Mathematics of Operations Research 31 (4) : 761-776. ScholarBank@NUS Repository. https://doi.org/10.1287/moor.1060.0195|
|Abstract:||For a locally optimal solution to the nonlinear semidefinite programming problem, under Robinson's constraint qualification, the following conditions are proved to be equivalent: the strong second-order sufficient condition and constraint nondegeneracy; the nonsingularity of Clarke's Jacobian of the Karush-Kuhn-Tucker system; the strong regularity of the Karush-Kuhn-Tucker point; and others. © 2006 INFORMS.|
|Source Title:||Mathematics of Operations Research|
|Appears in Collections:||Staff Publications|
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