92 citations · 337 across the 28 of their papers we have counts for
4 papers · 1 filter
On certain multivariate Vandermonde determinants whose variables separate
Stefano De Marchi, Konstantin Usevich
We prove that for almost square tensor product grids and certain sets of bivariate polynomials the Vandermonde determinant can be factored into a product of univariate Vandermonde…
Multivariate and 2D Extensions of Singular Spectrum Analysis with the Rssa Package
Nina Golyandina, Anton Korobeynikov, Alex Shlemov +1
Implementation of multivariate and 2D extensions of Singular Spectrum Analysis (SSA) by means of the R-package Rssa is considered. The extensions include MSSA for simultaneous anal…
Factorization approach to structured low-rank approximation with applications
Mariya Ishteva, Konstantin Usevich, Ivan Markovsky
We consider the problem of approximating an affinely structured matrix, for example a Hankel matrix, by a low-rank matrix with the same structure. This problem occurs in system ide…
Variable projection methods for approximate (greatest) common divisor computations
Konstantin Usevich, Ivan Markovsky
We consider the problem of finding for a given -tuple of polynomials (real or complex) the closest -tuple that has a common divisor of degree at least . Extended weighted…