A new constrained ellipsoidal algorithm for nonlinear optimization with equality constraints

2003 ◽  
Vol 39 (3) ◽  
pp. 1289-1292 ◽  
Author(s):  
R.H.C. Takahashi ◽  
R.R. Saldanha ◽  
W. Dias-Filho ◽  
J.A. Ramirez
Keyword(s):  
Nonlinear Optimization ◽  
Equality Constraints

scholarly journals On a two-phase approximate greatest descent method for nonlinear optimization with equality constraints

2018 ◽  
Vol 8 (3) ◽  
pp. 325-336
Author(s):  
M. S. Lee ◽  
◽  
B. S. Goh ◽  
H. G. Harno ◽  
K. H. Lim ◽  
...  
Keyword(s):  
Nonlinear Optimization ◽  
Descent Method ◽  
Equality Constraints ◽  
Two Phase

Saddle point criteria in semi-infinite minimax fractional programming under (Φ,ρ)-invexity

Filomat ◽  
2017 ◽  
Vol 31 (9) ◽  
pp. 2557-2574 ◽  
Author(s):  
Tadeusz Antczak
Keyword(s):  
Saddle Point ◽  
Fractional Programming ◽  
Generalized Convexity ◽  
Equality Constraints ◽  
New Class ◽  
Minimax Fractional Programming

Semi-infinite minimax fractional programming problems with both inequality and equality constraints are considered. The sets of parametric saddle point conditions are established for a new class of nonconvex differentiable semi-infinite minimax fractional programming problems under(?,?)-invexity assumptions. With the reference to the said concept of generalized convexity, we extend some results of saddle point criteria for a larger class of nonconvex semi-infinite minimax fractional programming problems in comparison to those ones previously established in the literature.

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