IMAS   23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
. On the Geometry and Topology of the Solution Variety for Polynomial System Solving
Autor/es:
CARLOS BELTRAN, MICHAEL SHUB
Revista:
FOUNDATIONS OF COMPUTATIONAL MATHEMATICS
Editorial:
SPRINGER
Referencias:
Lugar: New York; Año: 2012 vol. 12 p. 1 - 37
ISSN:
1615-3375
Resumen:
We study the geometry and topology of the rank stratification for polynomial system solving, i. e. the set of pairs (system, solution) such that the derivative of the system at the solution has a given rank. Our approach is to study the gradient flow of the Frobenius condition number defined on each stratum.