On the minimum of a polynomial function on a basic closed semialgebraic set and applications

We give an explicit upper bound for the algebraic degree and an explicit lower bound for the absolute value of the minimum of a polynomial function on a compact connected component of a basic closed semialgebraic set when this minimum is not zero. We also present extensions of these results to nonco...

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Detalles Bibliográficos
Autores principales: Jeronimo, G., Perrucci, D., Tsigaridas, E.
Formato: JOUR
Materias:
Polynomial optimization
Separation bounds
Absolute values
Algebraic degrees
Connected component
Lower bounds
Polynomial functions
Semi-algebraic set
Semi-algebraic sets
Functions
Separation
Set theory
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10526234_v23_n1_p241_Jeronimo
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

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