8 citations · 27 across the 6 of their papers we have counts for
6 papers
Rational Hermite-Padé Approximants vs Padé Approximants. Numerical Results
Egor O. Dobrolyubov, Nikolay R. Ikonomov, Leonid A. Knizhnerman +1
The main purpose of the paper is to present some powerful data on the advantage of the rational approximation procedure based on Hermite-Padé polynomials over the Padé approximatio…
Structure of the Nuttall partition for some class of four-sheeted Riemann surfaces
N. R. Ikonomov, S. P. Suetin
The structure of a Nuttall partition into sheets of some class of four-sheeted Riemann surfaces is studied. The corresponding class of multivalued analytic functions is a special c…
Viskovatov algorithm for Hermite-Padé polynomials
N. R. Ikonomov, S. P. Suetin
We propose an algorithm for producing Hermite-Padé polynomials of type I for an arbitrary tuple of formal power series , , about ($f_j\in{\math…
Scalar equilibrium problem and the limit distribution of the zeros of Hermite-Padé polynomials of type II
Nikolay R. Ikonomov, Sergey P. Suetin
The existence of the limit distribution of the zeros of Hermite-Padé polynomials of type II for a pair of functions forming a Nikishin system is proved using the scalar equilibrium…
Zero Distribution of Hermite-Padé Polynomials and Convergence Properties of Hermite Approximants for Multivalued Analytic Functions
Nikolay R. Ikonomov, Ralitza K. Kovacheva, Sergey P. Suetin
In the paper, we propose two new conjectures about the convergence of Hermite Approximants of multivalued analytic functions of Laguerre class . The conjectures are b…
On the limit zero distribution of type I Hermite-Padé polynomials
Nikolay R. Ikonomov, Ralitza K. Kovacheva, Sergey P. Suetin
In this paper are discussed the results of new numerical experiments on zero distribution of type I Hermite-Padé polynomials of order for three different collections of thr…