The second order optimality conditions for nonlinear mathematical programming with C 1,1 data
نویسندگان
چکیده
منابع مشابه
Second-order optimality conditions for nonlinear programs and mathematical programs
It is well known that second-order information is a basic tool notably in optimality conditions and numerical algorithms. In this work, we present a generalization of optimality conditions to strongly convex functions of order γ with the help of first- and second-order approximations derived from (Optimization 40(3):229-246, 2011) and we study their characterization. Further, we give an example...
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Necessary Optimality Conditions for Nonlinear Programming are discussed in the present research. A new Second-Order condition is given, which depends on a weak constant rank constraint requirement. We show that practical and publicly available algorithms (www.ime.usp.br/∼egbirgin/tango) of Augmented Lagrangian type converge, after slight modifications, to stationary points defined by the new co...
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ژورنال
عنوان ژورنال: Applications of Mathematics
سال: 1997
ISSN: 0862-7940,1572-9109
DOI: 10.1023/a:1023068513188