INVESTIGADORES
JERONIMO gabriela Tali
artículos
Título:
On the minimum of a polynomial function on a basic closed semialgebraic set and applications
Autor/es:
GABRIELA JERONIMO; DANIEL PERRUCCI; ELIAS TSIGARIDAS
Revista:
SIAM JOURNAL ON OPTIMIZATION
Editorial:
SIAM PUBLICATIONS
Referencias:
Lugar: Philadelphia-USA; Año: 2013 vol. 23 p. 241 - 255
ISSN:
1052-6234
Resumen:
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 noncompact situations. As an application, we obtain a lower bound for the separation of two disjoint connected components of basic closed semialgebraic sets, when at least one of them is compact.
