123 citations · 479 across the 28 of their papers we have counts for
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math.NA2002★ 43 cited
High Probability Analysis of the Condition Number of Sparse Polynomial Systems
Gregorio Malajovich, J. Maurice Rojas
Let F:=(f_1,...,f_n) be a random polynomial system with fixed n-tuple of supports. Our main result is an upper bound on the probability that the condition number of f in a region U…
math.NA2002★ 123 cited
Newton Method on Riemannian Manifolds: Covariant Alpha-Theory
Jean-Pierre Dedieu, Pierre Priouret, Gregorio Malajovich
In this paper we study quantitative aspects of Newton method for finding zeros of mappings f: M_n -> R^n and vector fields X: M_x -> TM_n