A computational method for minimization with nonlinear constraints

Autor: Mikkilineni, R. P., Feagin, T.
Zdroj: Journal of Optimization Theory and Applications; July 1978, Vol. 25 Issue: 3 p335-347, 13p
Abstrakt: An iterative technique is developed to solve the problem of minimizing a functionf(y) subject to certain nonlinear constraintsg(y)=0. The variables are separated into the basic variablesx and the independent variablesu. Each iteration consists of a gradient phase and a restoration phase. The gradient phase involves a movement (on a surface that is linear in the basic variables and nonlinear in the independent variables) from a feasible point to a varied point in a direction based on the reduced gradient. The restoration phase involves a movement (in a hyperplane parallel tox-space) from the nonfeasible varied point to a new feasible point.
Databáze: Supplemental Index