scholarly journals Optimality conditions in smooth nonlinear programming

1996 ◽  
Vol 90 (3) ◽  
pp. 483-515 ◽  
Author(s):  
G. Still ◽  
M. Streng
Keyword(s):  
Nonlinear Programming ◽  
Optimality Conditions

scholarly journals Approximate Hessian matrices and second-order optimality conditions for nonlinear programming problems with C1-data

1999 ◽  
Vol 40 (3) ◽  
pp. 403-420 ◽  
Author(s):  
V. Jeyakumar ◽  
X. Wang
Keyword(s):  
Nonlinear Programming ◽  
Optimality Conditions ◽  
Jacobian Matrix ◽  
Hessian Matrix ◽  
Second Order ◽  
Second Order Optimality Conditions ◽  
Differentiable Functions ◽  
Continuous Maps ◽  
Mathematical Programming Problems ◽  
Approximate Hessian

AbstractIn this paper, we present generalizations of the Jacobian matrix and the Hessian matrix to continuous maps and continuously differentiable functions respectively. We then establish second-order optimality conditions for mathematical programming problems with continuously differentiable functions. The results also sharpen the corresponding results for problems involving C1.1-functions.

On second-order optimality conditions for nonlinear programming

Optimization ◽  
2007 ◽  
Vol 56 (5-6) ◽  
pp. 529-542 ◽  
Author(s):  
R. Andreani ◽  
J. M. Martínez ◽  
M. L. Schuverdt
Keyword(s):  
Nonlinear Programming ◽  
Optimality Conditions ◽  
Second Order ◽  
Second Order Optimality Conditions

Optimality conditions for sparse nonlinear programming

2017 ◽  
Vol 60 (5) ◽  
pp. 759-776 ◽  
Author(s):  
LiLi Pan ◽  
NaiHua Xiu ◽  
Jun Fan
Keyword(s):  
Nonlinear Programming ◽  
Optimality Conditions ◽  
Sparse Nonlinear Programming
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