Global optimization in Rn with box constraints and applications: a Maple code

Global optimization in Rn with box constraints and applications: a Maple code

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Article ID: iaor20042282
Country: United States
Volume: 38
Issue: 1/2
Start Page Number: 77
End Page Number: 97
Publication Date: Jul 2003
Journal: Mathematical and Computer Modelling
Authors: ,
Abstract:

A variant of the cubic algorithm is presented for global optimization of continuous functions with box constraints. On this basis, a Maple code is developed for full global optimization of functions of n variables with application to the finding of all roots of a polynomial, to the eigenvalue problems, and to the solution of nonlinear systems all equations, including underdetermined and overdetermined systems. The code does not create ill-conditioned situations. Graphics are included, and the solution set can be visualized in projections on coordinate planes. The code is ready for engineering applications. Results of numerical experiments are presented, with graphs, to illustrate the use of the code.

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