Applied Mathematics Seminar

A New Walk on Equations Monte Carlo Method for Linear Algebraic Problems Lecturer: Prof. Ivan Dimov Time: 4:00 pm Date: February 14, 2023 Place: Room 503 of IMI - BAS Abstract: A new Walk on Equations (WE) Monte Carlo algorithm for Linear Algebra (LA) problem, namely, functionals of the solution, eigenvalue problems, etc., is proposed and studied. This algorithm relies on a non-discounted sum of an absorbed random walk. It can be applied for either real or complex matrices. Several techniques like simultaneous scoring or the sequential Monte Carlo method are applied to improve the basic algorithm. Numerical tests are performed on examples with matrices of different size and on systems coming from various important applications. Comparisons with standard deterministic, including unimprovable Conjugate Gradient [...]

Joint seminar of the ICMS and the MFI Department

A joint seminar of the International Center for Mathematical Sciences and the Department of Mathematical Foundations of Informatics will be held on Tuesday, January 31, 2023, at 3:00 pm, in Room 403 of IMI - BAS. Speaker: Prof. Nikolaj Glazunov, IMI - BAS, Institute of Cybernetics, Kiev. Title: On optimal packing of Minkowski balls and applications Abstract: We investigate lattice packings of Minkowski balls and domains. By results of the proof of Minkowski conjecture about the critical determinant we divide the balls and domains on 3 classes: Minkowski, Davis and Chebyshev-Cohn. The optimal lattice packings of the balls and domains are obtained. The minimum areas of hexagons inscribed in the balls and domains and circumscribed around them are given. These results lead to algebro-geometric [...]

2023-01-27T16:09:01+02:00Friday, 27 January 2023|Categories: |Tags: , , , |

Joint seminar of the ICMS and the MFI Department

A joint seminar of the International Center for Mathematical Sciences and the Department of Mathematical Foundations of Informatics will be held on Tuesday, January 24, 2023, at 3:00 pm. Speaker: Maryam Bajalan Title: Linear and Cyclic Codes over Rings Abstract: The study of codes over the rings (ring-linear codes) attracted great interest after the work of Calderbank, Hammons, Kumar, Sloane, and Sole in the early 1990s. In this seminar, the basic theory of linear codes over finite commutative rings will be presented including the importance of codes over rings, various kinds of rings for ring-linear coding theory, the weight functions on finite rings, MacWilliams equivalence theorem and the connection between these codes and codes over fields via the Gray maps. Moreover, the cyclic codes over finite [...]

2023-01-20T23:48:39+02:00Friday, 20 January 2023|Categories: |Tags: , , , |

Applied Mathematics Seminar

The second meeting of the newly established Applied Mathematics Seminar, which is part of the PICOM program, will be held on December 7, 2022, at 3:00 pm in the Conference Room of IMI - BAS. A talk on: Introduction to Steiner Trees will be delivered by Dr. Danila Cherkashin, post-doctoral fellow at IMI - BAS.  Facebook page of the seminar: Семинар по Приложна математика

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