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pro vyhledávání: '"Shary, Sergey P."'
Autor:
Shary, Sergey P.
The paper discusses the question of why intervals, which are the main object of Interval Analysis, have exactly the form that we know well and habitually use, and not some other. In particular, we investigate why traditional intervals are closed, i.\
Externí odkaz:
http://arxiv.org/abs/2202.03058
Autor:
Shary, Sergey P.
The paper presents a construction of a quantitative measure of variability for parameter estimates in the data fitting problem under interval uncertainty. It shows the degree of variability and ambiguity of the estimate, and the need for its introduc
Externí odkaz:
http://arxiv.org/abs/2003.05126
Autor:
Shary, Sergey P., Moradi, Behnam
In our work, we consider the linear least squares problem for $m\times n$-systems of linear equations $Ax = b$, $m\geq n$, such that the matrix $A$ and right-hand side vector $b$ can vary within an interval $m\times n$-matrix and an interval $m$-vect
Externí odkaz:
http://arxiv.org/abs/2001.07146
Autor:
Shary, Sergey P.
The work is devoted to the development of numerical methods for computing "formal solutions" of interval systems of linear algebraic equations. These solutions are found in Kaucher interval arithmetic, which extends and completes the classical interv
Externí odkaz:
http://arxiv.org/abs/1903.10272
Autor:
Shary, Sergey P.
In this paper, we consider the solution of ill-conditioned systems of linear algebraic equations that can be determined imprecisely. To improve the stability of the solution process, we "immerse" the original imprecise linear system in an interval sy
Externí odkaz:
http://arxiv.org/abs/1810.01481
Publikováno v:
In Procedia Computer Science 2021 186:227-234
Autor:
Rohn, Jiri, Shary, Sergey P.
Publikováno v:
In Linear Algebra and Its Applications 1 March 2018 540:149-159
Autor:
Sharaya, Irene A.1, Shary, Sergey P.1 shary@ict.nsc.ru
Publikováno v:
Mathematics Open. 2022, Vol. 1, p1-22. 22p.
Autor:
Shary, Sergey P.
Publikováno v:
In Applied Mathematics and Computation 15 August 2015 265:570-573
Publikováno v:
Computational Methods for Differential Equations; Jul2023, Vol. 11 Issue 4, p738-752, 15p