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pro vyhledávání: '"Victor M. Adukov"'
Autor:
Victor M. Adukov
Publikováno v:
Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software". 11:110-122
Autor:
Victor M. Adukov, N. V. Adukova
Publikováno v:
Proc Math Phys Eng Sci
In the work, we obtain an effective criterion of the stability of the partial indices for matrix polynomials under an arbitrary sufficiently small perturbation. Verification of the stability is reduced to calculation of the ranks for two explicitly d
Autor:
Victor M. Adukov
Publikováno v:
Linear and Multilinear Algebra. 63:1724-1736
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 means of a finite group of permutations. The symmetry of this matrix f
Autor:
Victor M. Adukov, O. L. Ibryaeva
Publikováno v:
Journal of Computational and Applied Mathematics. 237:529-541
In this paper, a new definition of a reduced Padé approximant and an algorithm for its computation are proposed. Our approach is based on the investigation of the kernel structure of the Toeplitz matrix. It is shown that the reduced Padé approximan
Autor:
Victor M. Adukov, A.A. Patrushev
Publikováno v:
Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics. 11:9-20
Autor:
Victor M. Adukov
Publikováno v:
Sbornik: Mathematics. 200:1105-1126
Let D+ be amultiply connected domain bounded by a contour Γ, let D- be the complement of D+ ∪ Γ in ℂ̄ = ℂ ∪, and a(t) be acontinuous invertible matrix-valued function on which can be meromorphically extended into the open disconnected set
Autor:
Victor M. Adukov
Publikováno v:
Journal of Approximation Theory. 122:160-207
In the work the uniform convergence of rows of the Padé approximants for a meromorphic function a(z) is studied. The complete description of the asymptotic behavior of denominators Qn(z) of the Padé approximants is obtained for the (λ−1)th row.
Autor:
Victor M. Adukov, A. S. Fadeeva
In the computer algebra system Maple, we have created a package MinimalRealization to solve the minimal realization problem for a discrete-time linear time-invariant system. The package enables to construct the minimal realization of a system startin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c9307035da3638ef36f19c8c19e39c8a
http://dspace.susu.ac.ru/xmlui/handle/0001.74/5285
http://dspace.susu.ac.ru/xmlui/handle/0001.74/5285
Autor:
Victor M. Adukov
Publikováno v:
Structured Matrices in Mathematics, Computer Science, and Engineering I. :71-87
Autor:
Victor M. Adukov
Publikováno v:
Theoretical and Mathematical Physics. 118:255-263
A new method is proposed for calculating the partial indices and the Wiener-Hopf factorization of analytic matrix-valued functions. It has computational advantages with respect to the method proposed by the author earlier. The new method is used to f