Zobrazeno 1 - 10
of 123
pro vyhledávání: '"Tyrtyshnikov, Eugene"'
The low-rank matrix approximation problem is ubiquitous in computational mathematics. Traditionally, this problem is solved in spectral or Frobenius norms, where the accuracy of the approximation is related to the rate of decrease of the singular val
Externí odkaz:
http://arxiv.org/abs/2201.12301
Publikováno v:
Lobachevskii J Math 42, 1608-1621 (2021)
Numerical integration is a classical problem emerging in many fields of science. Multivariate integration cannot be approached with classical methods due to the exponential growth of the number of quadrature nodes. We propose a method to overcome thi
Externí odkaz:
http://arxiv.org/abs/2103.12129
An efficient Krylov subspace algorithm for computing actions of the $\varphi$ matrix function for large matrices is proposed. This matrix function is widely used in exponential time integration, Markov chains and network analysis and many other appli
Externí odkaz:
http://arxiv.org/abs/2010.08494
In this paper we utilize the Proper Orthogonal Decomposition (POD) method for model order reduction in application to Smoluchowski aggregation equations with source and sink terms. In particular, we show in practice that there exists a low-dimensiona
Externí odkaz:
http://arxiv.org/abs/2008.09439
Publikováno v:
Journal of Computational and Applied Mathematics 260:434-448, 2014
We address a linear fractional differential equation and develop effective solution methods using algorithms for inversion of triangular Toeplitz matrices and the recently proposed QTT format. The inverses of such matrices can be computed by the divi
Externí odkaz:
http://arxiv.org/abs/1211.5384
Publikováno v:
Numerical Linear Algebra with Applications, V. 19(1), pp. 103-111, (2012)
We propose a fast algorithm for mode rank truncation of the result of a bilinear operation on 3-tensors given in the Tucker or canonical form. If the arguments and the result have mode sizes n and mode ranks r, the computation costs $O(nr^3 + r^4)$.
Externí odkaz:
http://arxiv.org/abs/1004.4919
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Autor:
Sulimov, Alexey V., Zheltkov, Dmitry A., Oferkin, Igor V., Kutov, Danil C., Katkova, Ekaterina V., Tyrtyshnikov, Eugene E., Sulimov, Vladimir B.
Publikováno v:
In Computational and Structural Biotechnology Journal 2017 15:275-285
Publikováno v:
In Journal of Computational Physics 1 July 2016 316:164-179
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.