On the probability distribution of data at points in real complete intersection varieties

We show several estimates on the probability distribution of some data at points in real complete intersection varieties: norms of real affine solutions, condition number of real solution of real systems of multivariate polynomial equations and convergence radius of Newton's operator for under-determined system of multi-variate polynomial equations. Key words: Newton's operator, condition number, real complete intersection varieties, polynomial equations solver.

• Type: Journal
• Year: 2008
• Where: JC
• Authors: Cruz E. Borges, Luis M. Pardo
• Keywords: Condition Number, JC 2008, Multi-variate Polynomial Equations, Polynomial Equations