INVESTIGADORES
JORDAN Mario Alberto
congresos y reuniones científicas
Título:
Properties of Mulivariable Polynomials for Nonconvex Optimization
Autor/es:
JORDAN, MARIO
Lugar:
Santa Fe, RA
Reunión:
Congreso; Reunión de Procesamiento de la Información y Control (XI RPIC); 2001
Institución organizadora:
Reunión de Procesamiento de la Información y Control (XI RPIC)
Resumen:
In this paper some important algebraic properties of multivariable polynomials are investigated and their potential application in nonlinear optimization is outlined. The first part of the results is devoted to analyze the ability of multivariable polynomials to capture diverse extremes for a specified degree and a given region. Additionally algebraic sufficient conditions to test convexity and concavity about minima or maxima of the cost surface are developed. Finally scenarios of how algebraic conditions apply to optimize highly nonconvex cost functionals are depicted.
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