A Hessian-free algorithm for solving quadratic optimization problems with nonlinear equality constraints

2016 ◽  
Author(s):  
Tuan T. Nguyen ◽  
Mircea Lazar ◽  
Hans Butler
Keyword(s):  
Optimization Problems ◽  
Quadratic Optimization ◽  
Equality Constraints ◽  
Nonlinear Equality

Modification of Nonlinear Equality Constraints in Nonlinear Problems

1974 ◽  
Vol 96 (1) ◽  
pp. 138-144
Author(s):  
R. J. Polo ◽  
V. A. Sposito ◽  
T. T. Lee
Keyword(s):  
Nonlinear Programming ◽  
Optimization Problems ◽  
Inequality Constraints ◽  
Nonlinear Problems ◽  
Unconstrained Minimization ◽  
Equality Constraints ◽  
Feasible Region ◽  
Mathematical Methods ◽  
Minimization Technique ◽  
Nonlinear Equality

This paper presents a technique for solving nonlinear programming problems with nonconvex feasible regions. The procedure expands the feasible region by replacing nonlinear equality constraints by appropriate inequality constraints. The expansion is used to solve two structural optimization problems using the sequential unconstrained-minimization technique of Fiacco and McCormick. The solutions are compared with solutions obtained by classical mathematical methods.

Separable standard quadratic optimization problems

2011 ◽  
Vol 6 (5) ◽  
pp. 857-866 ◽  
Author(s):  
Immanuel M. Bomze ◽  
Marco Locatelli
Keyword(s):  
Optimization Problems ◽  
Quadratic Optimization ◽  
Standard Quadratic Optimization
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