Active set and interior methods for nonlinear optimization.
Byrd, Richard H., Nocedal, Jorge (1998)
Documenta Mathematica
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Active set and interior methods for nonlinear optimization.
Special Issue on Nonlinear and Multi-Agent Systems: Modeling, Control and Optimization
(2023)
Kybernetika
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A second order -approximation method for constrained optimization problems involving second order invex functions
Tadeusz Antczak (2009)
Applications of Mathematics
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A new approach for obtaining the second order sufficient conditions for nonlinear mathematical programming problems which makes use of second order derivative is presented. In the so-called second order -approximation method, an optimization problem associated with the original nonlinear programming problem is constructed that involves a second order -approximation of both the objective function and the constraint function constituting the original problem. The equivalence between...
Reduction of dimensionality in dynamic programming-based solution methods for nonlinear integer programming.
Ram, Balasubramanian, Babu, A.J.G. (1988)
International Journal of Mathematics and Mathematical Sciences
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A duality theorem for complex nonlinear programming
C. Das, J. Parida (1977)
Matematički Vesnik
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Saddle points criteria via a second order -approximation approach for nonlinear mathematical programming involving second order invex functions
Tadeusz Antczak (2011)
Kybernetika
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In this paper, by using the second order -approximation method introduced by Antczak [3], new saddle point results are obtained for a nonlinear mathematical programming problem involving second order invex functions with respect to the same function . Moreover, a second order -saddle point and a second order -Lagrange function are defined for the so-called second order -approximated optimization problem constructed in this method. Then, the equivalence between an optimal solution...