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math.NA2012
Fast Computation of Zeros of Polynomial Systems with Bounded Degree under Finite-precision
Irenee Briquel, Felipe Cucker, Javier Pena +1
A solution for Smale's 17th problem, for the case of systems with bounded degree was recently given. This solution, an algorithm computing approximate zeros of complex polynomial s…
math.NA2011
Solving second-order conic systems with variable precision
Felipe Cucker, Javier Peña, Vera Roshchina
We describe and analyze an interior-point method to decide feasibility problems of second-order conic systems. A main feature of our algorithm is that arithmetic operations are per…