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On the probability distribution of data at points in real complete intersection varieties
Authors:Cruz E. Borges  Luis M. Pardo
Affiliation:Dept. de Matemáticas, Estadística y Computación. F. de Ciencias. U. Cantabria, E-39071 Santander, Spain
Abstract: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 multi-variate polynomial equations and convergence radius of Newton's operator for under-determined system of multi-variate polynomial equations.
Keywords:Newton's operator   Condition number   Real complete intersection varieties   Polynomial equations solver
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