Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Litvinov, Grigory"'
Publikováno v:
Linear Algebra and its Applications, 439 (6), 2013, 1651-1656
We prove the existence of a common eigenvector for commutative, nilpotent and quasinilpotent semigroups of matrices with complex or real nonnegative entries both in the conventional and tropical linear algebra.
Comment: 7 pages
Comment: 7 pages
Externí odkaz:
http://arxiv.org/abs/1211.2316
Publikováno v:
Soft Computing, volume 17 no. 10, 2013, 1767-1785
This paper is a survey on universal algorithms for solving the matrix Bellman equations over semirings and especially tropical and idempotent semirings. However, original algorithms are also presented. Some applications and software implementations a
Externí odkaz:
http://arxiv.org/abs/1209.5011
Autor:
Litvinov, Grigory L.
Tropical and idempotent analysis with their relations to the Hamilton-Jacobi and matrix Bellman equations are discussed. Some dequantization procedures are important in tropical and idempotent mathematics. In particular, the Hamilton-Jacobi-Bellman e
Externí odkaz:
http://arxiv.org/abs/1203.0522
Autor:
Litvinov, Grigory L.
Publikováno v:
Journal of Soviet Mathematics, Vol. 38, #2, 1987, p. 1734-1761
The survey contains a brief description of the ideas, constructions, results, and prospects of the theory of hypergroups and generalized translation operators. Representations of hypergroups are considered, being treated as continuous representations
Externí odkaz:
http://arxiv.org/abs/1109.6596
Autor:
Litvinov, Grigory L.
Publikováno v:
Selecta Mathematica Sovietica, vol. 11, No.1 (1992), p. 25-40
In the present article, it is proved that every nuclear operator in a locally convex space E has a well-defined trace if E possesses the approximation property. However, even if a space possesses the approximation property this still does not guarant
Externí odkaz:
http://arxiv.org/abs/1108.1721
Autor:
Litvinov, Grigory L.
A brief introduction to tropical and idempotent mathematics (with an emphasys on idempotent functional analysis) is presented. Applications to classical mechanics and geometry are especially examined.
Comment: 42 pages, 4 figures
Comment: 42 pages, 4 figures
Externí odkaz:
http://arxiv.org/abs/1005.1247
This volume contains the proceedings of an International Workshop on Idempotent and Tropical Mathematics and Problems of Mathematical Physics, held at the Independent University of Moscow, Russia, on August 25-30, 2007.
Comment: This volume cont
Comment: This volume cont
Externí odkaz:
http://arxiv.org/abs/0710.0377
Publikováno v:
Mat. Notes 69:5 (2001) 696-729
In this paper we consider Idempotent Functional Analysis, an `abstract' version of Idempotent Analysis developed by V. P. Maslov and his collaborators. We give a review of the basic ideas of Idempotent Analysis. The correspondence between concepts an
Externí odkaz:
http://arxiv.org/abs/math/0009128
Publikováno v:
In Linear Algebra and Its Applications 15 September 2013 439(6):1651-1656
Publikováno v:
Hamilton-Jacobi equations: approximations, numerical analysis and applications
Tchou Nicoletta; Loreti Paola. Hamilton-Jacobi equations: approximations, numerical analysis and applications, Aug 2011, Cetraro, Italy. 2074, Springer, xiv-301 p., 2013, Lecture notes in mathematics, ⟨10.1007/978-3-642-36433-4⟩
Springer
Tchou Nicoletta; Loreti Paola. Hamilton-Jacobi equations: approximations, numerical analysis and applications, Aug 2011, Cetraro, Italy. 2074, Springer, xiv-301 p., 2013, Lecture notes in mathematics, ⟨10.1007/978-3-642-36433-4⟩
Springer
International audience
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::51b572ddd6ecedb1b9c28ef28f3435e9
https://hal.archives-ouvertes.fr/hal-01091548
https://hal.archives-ouvertes.fr/hal-01091548