21 citations · 130 across the 25 of their papers we have counts for
25 papers
On Convergence of Rational Hermite-Padé Approximants
Nikolay R. Ikonomov, Sergey P. Suetin
The main purpose of this paper is to compare the convergence properties of Padé approximants and rational Hermite-Padé approximants for some model class of multivalued analytic fun…
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…
On Some Algebraic Properties of Hermite--Padé Polynomials
Sergey P. Suetin
Let be a tuple of series in nonnegative powers of , . It is supposed that the tuple is in "general position". We give a construction of typ…
Maximum Principle and Asymptotic Properties of Hermite--Padé Polynomials
Sergey P. Suetin
In the paper, we discuss how it would be possible to succeed in Stahl's novel approach, 1987--1988, to explore Hermite--Padé polynomials based on Riemann surface properties. In par…
A direct proof of Stahl's theorem for a generic class of algebraic functions
Sergey P. Suetin
Under the assumption of the existence of Stahl's -compact set we give a short proof of the limit zeros distribution of Padé polynomials and convergence in capacity of diagonal P…
Two examples based on the properties of discrete measures
Sergey P. Suetin
In the paper we represent two examples which are based on the properties of discrete measures. In the first part of the paper we prove that for each probability measure , $\oper…
Tschebyshev-Padé approximations for multivalued functions
Evguenii A. Rakhmanov, Sergey P. Suetin
We discuss the relation between the linear Tschebyshev-Padé approximations to analytic function and the diagonal type I Hermite-Padé polynomials for the tuple of functions $[1,…
Structure of the Nuttall partition for some class of four-sheeted Riemann surfaces
N. R. Ikonomov, S. P. Suetin
The structure of a Nuttall partition into sheets of some class of four-sheeted Riemann surfaces is studied. The corresponding class of multivalued analytic functions is a special c…
Viskovatov algorithm for Hermite-Padé polynomials
N. R. Ikonomov, S. P. Suetin
We propose an algorithm for producing Hermite-Padé polynomials of type I for an arbitrary tuple of formal power series , , about ($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…
On the equivalence of the scalar and vector equilibrium problems for a pair of functions forming a Nikishin system
Sergey P. Suetin
We prove the equivalence of the vector and scalar equilibrium problems which arise naturally in the study of the limit zeros distribution of type I Hermite--Padé polynomials for a…
On one example of a Nikishin system
Sergey P. Suetin
The paper puts forward an example of a~Markov function such that the three functions and form a Nikishin system. A conjecture is pr…
Hermite--Padé polynomials and analytic continuation: new approach and some results
Sergey P. Suetin
We discuss a new approach to realization of the well-known Weierstrass's programme on efficient continuation of an analytic element corresponding to a~multivalued analytic function…
On a new approach to the problem of the zero distribution of Hermite-Padé polynomials for a Nikishin system
Sergey P. Suetin
A new approach to the problem of the zero distribution of Hermite-Padé polynomials of type I for a pair of functions forming a Nikishin system is discussed. Unlike the tr…
Embedding AC Power Flow in the Complex Plane Part II: A Reliable Framework for Voltage Collapse Analysis
Sina S. Baghsorkhi, Sergey P. Suetin
Part II of this paper elaborates on the unique capability of the proposed power flow analysis framework to obtain the true solution corresponding to the stable operating point of a…
Embedding AC Power Flow in the Complex Plane Part I: Modelling and Mathematical Foundation
Sina Sadeghi Baghsorkhi, Sergey Pavlovich Suetin
Part I of this paper embeds the AC power flow problem with voltage control and exponential load model in the complex plane. Modeling the action of network controllers that regulate…
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…
On the existence of compacta of minimal capacity in the theory of rational approximation of multi-valued analytic functions
Viktor I. Buslaev, Sergey P. Suetin
For an interval on the real line, let be either the equilibrium measure, or the normalized Lebesgue measure of , and let denote the associated logarithmic po…
Embedding AC Power Flow with Voltage Control in the Complex Plane : The Case of Analytic Continuation via Padé Approximants
Sina S. Baghsorkhi, Sergey P. Suetin
This paper proposes a method to embed the AC power flow problem with voltage magnitude constraints in the complex plane. Modeling the action of network controllers that regulate th…
Some numerical results on the behavior of zeros of the Hermite-Padé polynomials
N. R. Ikonomov, R. K. Kovacheva, S. P. Suetin
We introduce and analyze some numerical results obtained by the authors experimentally. These experiments are related to the well known problem about the distribution of the zeros…
On the distribution of zeros of the Hermite-Pade polynomials for three algebraic functions and the global topology of the Stokes lines for some differential equations of the third order
Sergey Suetin
The paper presents some heuristic results about the distribution of zeros of Hermite-Pade polynomials of first kind for the case of three functions , where has the for…
Trace formulas for a class of Jacobi operators
Sergey Suetin
In this paper we study a class of Jacobi operators, such that each operator is generated by the unit Borel measure with a support consisting of a finite number of intervals on the…
Heine, Hilbert, Pade, Riemann, and Stieltjes: a John Nuttall's work 25 years later
Andrei Martinez-Finkelshtein, Evgenii A. Rakhmanov, Sergey P. Suetin
In 1986 J. Nuttall published in Constructive Approximation the paper "Asymptotics of generalized Jacobi polynomials", where with his usual insight he studied the behavior of the de…