Results 31 to 40 of about 523 (177)
Generalization of Buchberger’s Algorithm with Respect to Several Orderings on Difference Modules
پژوهشهای ریاضی, 2021 Grobner basis with respect to several orderings is a powerful tool to compute multivariate difference dimension polynomials. In this paper, an algorithm for computing a Grobner basis of a difference module over a ground difference field with respect to ...
hamzeh harfsheno +2 more
doaj
Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Groebner Bases [PDF]
, 2010 We review our algebraic framework for linear boundary problems (concentrating on ordinary differential equations). Its starting point is an appropriate algebraization of the domain of functions, which we have named integro-differential algebras.
Regensburger, Georg +4 more
core +1 more source
Satisfying positivity requirement in the Beyond Complex Langevin approach
EPJ Web of Conferences, 2018 The problem of finding a positive distribution, which corresponds to a given complex density, is studied. By the requirement that the moments of the positive distribution and of the complex density are equal, one can reduce the problem to solving the ...
Wyrzykowski Adam, Ruba Błażej Ruba
doaj +1 more source
Groebner Basis and its Applications
International Journal of Engineering and Advanced Technology, 2019 This paper is a survey on Groebner basis and its applications on some areas of Science and Technology. Here we have presented some of the applications of concepts and techniques from Groebner basis to broader area of science and technology such as applications in steady state detection of chemical reaction network (CRN) by determining kinematics ...
Yengkhom Satyendra Singh +1 more
openaire +1 more source
Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020 Ultrawideband (UWB) is considered as a promising technology in indoor positioning due to its accurate time resolution and good penetration through objects. Since the functional model of UWB positioning is nonlinear, iterative algorithms are often considered for solving the nonlinear problem.
Chuanyang Wang +6 more
wiley +1 more source
Towards an iterative method for approximate Groebner basis, revisited (Computer Algebra : Foundations and Applications) [PDF]
, 2022 In this talk, we briefly compare the NewtonSLRA/1 algorithm against the Cadzow's algorithm for computing a structured Groebner basis approximately, and discuss on a possibility of using signature based algorithms for computing approximate Groebner ...
長坂, 耕作
core
A geometric view of cryptographic equation solving
Journal of Mathematical Cryptology, 2008 This paper considers the geometric properties of the Relinearisation algorithm and of the XL algorithm used in cryptology for equation solving. We give a formal description of each algorithm in terms of projective geometry, making particular use of the ...
Murphy S., Paterson M. B.
doaj +1 more source
Practical Gröbner basis computation
Proceedings of the 37th International Symposium on Symbolic and Algebraic Computation, 2012 Full online version including appendices, 17 pages; Proceedings of the International Symposium on Symbolic and Algebraic Computation (ISSAC ...
Bjarke Hammersholt Roune +1 more
openaire +2 more sources
An Application of Groebner Bases to Behavioral Analyses for Petri Nets by Means of Computer Algebra Systems [PDF]
, 2003 One of methods to solve integer programming problems consists in the method which uses groebner bases. An arbitrary solution for a state equation Ax=b(A∈Zmxn,b∈Zmx1) of Petri nets means a firing count vector. Then finding a nonnegative integer solution x∈
MORO, Seiichiro +5 more
core
IET Power Electronics, Volume 19, Issue 1, January/December 2026.This article presents a Fifteen‐level inverter topology that has a lesser number of switches (12) and can accommodate isolated DC sources. The total harmonic elimination (THD) of the proposed topology using genetic algorithm is within the IEEE 519 standards. Further, the fifteen‐level inverter is implemented in Hardware and firing pulses were generated
Yogesh Joshi +4 more
wiley +1 more source