The Strong Second-Order Sufficient Condition and Constraint Nondegeneracy in Nonlinear Semidefinite Programming and Their Implications
The Strong Second-Order Sufficient Condition and Constraint Nondegeneracy in Nonlinear Semidefinite Programming and Their Implications
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DOI：
10.1287/moor.1060.0195
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发表时间：
2006-11
期刊：
影响因子：
--
通讯作者：
Defeng Sun
中科院分区：
文献类型：
--
作者：
Defeng Sun
对于非线性半定规划问题的局部最优解，在罗宾逊的约束条件下，证明了下列条件是等价的：强二阶充分条件和约束非退化性; Karush-Kuhn-Tucker系统的Clarke Jacobian的非奇异性; Karush-Kuhn-Tucker点的强正则性;以及其他条件.
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.