The nonconvex problem of minimizing the product of a strictly convex quadratic function and the p-th power of a linear function over a convex polyhedron is considered. Some theoretical properties of the problem, such as the existence of minimum points and the generalized convexity of the objective function, are deepened on and a finite algorithm which solves the problem is proposed.

A finite algorithm for a class of nonlinear multiplicative programs

CAMBINI, RICCARDO;SODINI, CLAUDIO
2003

Abstract

The nonconvex problem of minimizing the product of a strictly convex quadratic function and the p-th power of a linear function over a convex polyhedron is considered. Some theoretical properties of the problem, such as the existence of minimum points and the generalized convexity of the objective function, are deepened on and a finite algorithm which solves the problem is proposed.
Cambini, Riccardo; Sodini, Claudio
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/229350
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