Search
Search Results
-
Factorization of a Class of Matrix Functions in the Wiener Algebra of Order 2
AbstractA representative class of matrix functions from the Wiener algebra of order 2 admitting an effective factorization is found. The...
-
-
Approximate solution of Volterra-Fredholm integral equations using generalized barycentric rational interpolant
It is well-known that interpolation by rational functions results in a more accurate approximation than the polynomials interpolation. However,...
-
-
Linear System Matrices of Rational Transfer Functions
In this paper we derive new sufficient conditions for a linear system matrix $$...
-
A Class of Hölder Matrix Functions of the Second Order Admitting Effective Factorization
AbstractHölder matrix functions of the second order are considered. We assume that one element is arbitrary, diagonal elements do not vanish on the...
-
Universal R-Matrix for the Rational Seven-Vertex Model
Rational seven-vertex statistical model is considered. Using the fusion procedure, an explicit expression for the universal R -matrix of this model is...
-
A Fast Monte Carlo Algorithm for Evaluating Matrix Functions with Application in Complex Networks
We propose a novel stochastic algorithm that randomly samples entire rows and columns of the matrix as a way to approximate an arbitrary matrix...
-
Simplifying matrix differential equations with general coefficients
We show that the n × n matrix differential equation δ ( Y ) = AY with n 2 general coefficients cannot be simplified to an equation in less than n ...
-
Extension of the Bessmertnyĭ Realization Theorem for Rational Functions of Several Complex Variables
We prove a realization theorem for rational functions of several complex variables which extends the main theorem of Bessmertnyĭ (in: Alpay, Gohberg,...
-
On a Factorization Method for Matrix Functions in the Wiener Algebra of Order 2
AbstractA method for reducing the factorization problem for an arbitrary matrix function with nonnegative total index in (an everywhere dense...
-
-
The rational Heun operator and Wilson biorthogonal functions
We consider the rational Heun operator defined as the most general second-order q -difference operator which sends any rational function of type
... -
On Rational Spline Solutions of Differential Equations with Singularities in the Coefficients of the Derivatives
AbstractFor one generalization of the Riemann differential equation, we obtain sufficient conditions for the approximability by twice continuously...
-
Coefficient Asymptotics of Algebraic Multivariable Generating Functions
Analytic combinatorics in several variables (ACSV) seeks to extract the asymptotic behavior of coefficients from a generating function in several...
-
Families of Polytopes with Rational Linear Precision in Higher Dimensions
In this article, we introduce a new family of lattice polytopes with rational linear precision. For this purpose, we define a new class of discrete...
-
Computing the reciprocal of a ϕ-function by rational approximation
In this paper, we introduce a family of rational approximations of the reciprocal of a ϕ -function involved in the explicit solutions of certain...
-
Functions of rational Krylov space matrices and their decay properties
Rational Krylov subspaces have become a fundamental ingredient in numerical linear algebra methods associated with reduction strategies. Nonetheless,...
