An ODE method of solving nonlinear programming

An ODE method of solving nonlinear programming

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Article ID: iaor19981449
Country: United Kingdom
Volume: 34
Issue: 1
Start Page Number: 97
End Page Number: 102
Publication Date: Jul 1997
Journal: Computers & Mathematics with Applications
Authors: ,
Keywords: differential equations, optimization
Abstract:

This paper proposes a new method to solve general constrained optimization problem. The problem of finding the local optimal points of a nonlinear programming problem with equality and inequality constraints is considered by solving the ODE (i.e. ordinary differential equation) with an appropriate numerical procedure. Moreover, the rate of convergence to optimal points is quadratic. Some numerical result is given to show the efficiency of the proposed method.

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