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math.OC2011
A Complementarity Partition Theorem for Multifold Conic Systems
Javier Peña, Vera Roshchina
Consider a homogeneous multifold convex conic system and its alternative system $$ A\transp y \in K_1^*\times...\times K_r^*, $$ where…
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…