INVESTIGADORES
JERONIMO gabriela Tali
artículos
Título:
Deformation techniques for sparse systems
Autor/es:
GABRIELA JERONIMO; GUILLERMO MATERA; PABLO SOLERNÓ; ARIEL WAISSBEIN
Revista:
FOUNDATIONS OF COMPUTATIONAL MATHEMATICS
Editorial:
Springer
Referencias:
Lugar: New York; Año: 2009 vol. 9 p. 1 - 50
ISSN:
1615-3375
Resumen:
We exhibit a probabilistic symbolic algorithm for solving zero-dimensional sparse systems. Our algorithm combines a symbolic homotopy procedure, based on a flat deformation of a certain morphism of affine varieties, with the polyhedral deformation of Huber and Sturmfels. The complexity of our algorithm is cubic in the size of the combinatorial structure of the input system. This size is mainly represented by the cardinality and mixed volume of Newton polytopes of the input polynomials and an arithmetic analogue of the mixed volume associated to the deformations under consideration.
