1 citations · 3 across the 6 of their papers we have counts for
6 papers
A superlinear arclength endgame for corank-one singular polynomial systems
Mikhail Karapetyants, Vladimir Kolmogorov, Jeferson Zapata
In Numerical Algebraic Geometry (NAG) isolated solutions of polynomial systems are usually computed by tracking a solution curve defined by a homotopy equation. The tracking proble…
A Nesterov type algorithm with double Tikhonov regularization: fast convergence of the function values and strong convergence to the minimal norm solution
Mikhail Karapetyants, Szilárd Csaba László
We investigate the strong convergence properties of a Nesterov type algorithm with two Tikhonov regularization terms in connection to the minimization problem of a smooth convex fu…
A fast continuous time approach for non-smooth convex optimization using Tikhonov regularization technique
Mikhail Karapetyants
In this manuscript we would like to address the classical optimization problem of minimizing a proper, convex and lower semicontinuous function via the second order in time dynamic…
A fast continuous time approach for non-smooth convex optimization with time scaling and Tikhonov regularization
Robert Ernö Csetnek, Mikhail A. Karapetyants
In a Hilbert setting we aim to study a second order in time differential equation, combining viscous and Hessian-driven damping, containing a time scaling parameter function and a…
A fast continuous time approach with time scaling for nonsmooth convex optimization
Radu Ioan Bot, Mikhail A. Karapetyants
In a Hilbert setting we study the convergence properties of a second order in time dynamical system combining viscous and Hessian-driven damping with time scaling in relation with…
Subdivision schemes on a dyadic half-line
Mikhail Karapetyants
In this paper subdivision schemes, which are used for functions approximation and curves generation, are considered. In classical case, for the functions defined on the real line,…