D. A. Kolesnikov

most citedAlgebraic reputation model RepRank and its application to spambot detection

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math.NA2016

Convergence analysis of projected fixed-point iteration on a low-rank matrix manifold

Denis Kolesnikov, Ivan Oseledets

In this paper we analyse convergence of projected fixed-point iteration on a Riemannian manifold of matrices with fixed rank. As a retraction method we use `projector splitting sch…

math.NA2014

From low-rank approximation to an efficient rational Krylov subspace method for the Lyapunov equation

D. A. Kolesnikov, I. V. Oseledets

We propose a new method for the approximate solution of the Lyapunov equation with rank- $1$ right-hand side, which is based on extended rational Krylov subspace approximation with…