29 citations · 60 across the 28 of their papers we have counts for
5 papers · 1 filter
Bodies invisible from one point
Alexander Plakhov, Vera Roshchina
We show that there exist bodies with mirror surface invisible from a point in the framework of geometrical optics. In particular, we provide an example of a connected three-dimensi…
An algorithm for computing an element of the Clarke generalized Jacobian of a difference of max-type functions
Ana Horta, Vera Roshchina
We show that the algorithm for computing an element of the Clarke generalized Jacobian of a max-type function proposed by Zheng-da Huang and Guo-chun Ma can be extended to a much w…
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…
Fractal bodies invisible in 2 and 3 directions
Alexander Plakhov, Vera Roshchina
We study the problem of invisibility for bodies with a mirror surface in the framework of geometrical optics. We show that for any two given directions it is possible to construct…
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…