A sequential quadratic programming type method and its application in stochastic programs

A sequential quadratic programming type method and its application in stochastic programs

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Article ID: iaor20032540
Country: Netherlands
Volume: 116
Issue: 1
Start Page Number: 205
End Page Number: 228
Publication Date: Jan 2003
Journal: Journal of Optimization Theory and Applications
Authors: , ,
Keywords: programming: quadratic
Abstract:

In this paper, we propose and analyze a sequential quadratic programming-type method for solving linearly constrained convex minimization problems where the objective functions are too complex to be evaluated exactly. Some basic results for global convergence and local superlinear convergence are obtained according to the properties of the approximation sequence. We illustrate the applicability of our approach by proposing a new method for solving two-stage stochastic programs with fixed recourse.

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