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7 papers
Normalisation of Wiener--Hopf Factorisation for Matrix Functions
Nataliia Adukova, Victor Adukov
{For a matrix function , we study the normalisation of its Wiener--Hopf factorisation which guarantees the uniqueness of the factors . Previ…
An effective criterion for a stable factorisation of strictly nonsingular 2x2 matrix functions. Utilisation of the ExactMPF package
Natalia Adukova, Victor Adukov, Gennady Mishuris
In this paper, we propose a method to factorise of arbitrary strictly nonsingular 2x2 matrix functions allowing for stable factorisation. For this purpose, we utilise the ExactMPF…
On Wiener - Hopf factorization of scalar polynomial
Victor Adukov
In the work we propose an algorithm for a Wiener -- Hopf factorization of scalar polynomials based on notions of indices and essential polynomials. The algorithm uses computations…
Representation Theory of Finite Groups in Wiener--Hopf Factorization
Victor Adukov
We consider the Wiener--Hopf factorization problem for a matrix function that is completely defined by its first column: the succeeding columns are obtained from the first one by m…
Generalized inversion of Toeplitz-plus-Hankel matrices
V. M. Adukov, O. L. Ibryaeva
A generalized inversion of block T+H matrix is obtained for the first time. In a particular case when T+H matrix is invertible, the method allows to obtain its inverse matrix witho…
Not all limit points of poles of the Padé approximants are obstructions for poinwise convergence
Victor M. Adukov
In the work it is shown that not all limit points of poles of the Padé approximants for the last intermediate row are obstructions for poinwise convergence of the whole row to an a…
Set of Uniform Convergence for the Last Intermediate Row
V. M. Adukov
Let a(z) be a meromorphic function having in the disk |z|<R precisely λpoles. In this work for the (λ-1)th row of the Padé table of a(z) the set of uniform convergence is explicitl…