Search Results - non-commutative Gröbner basis algorithms

Nekomutativní Gröbnerovy báze

Non-commutative Gröbner bases

Authors: Požárková, Zuzana

Thesis Advisors: Šťovíček, Jan, Stanovský, David

Subject Terms: Buchbergerův algoritmus, Gröbner basis, obstrukce, Gröbnerova báze, přípustné uspořádání, obstruction, Gebauer-Möller kritéria, admissible ordering, Gebauer-Möller criteria, Buchberger algorithm

Availability: http://www.nusl.cz/ntk/nusl-346047

Singularly perturbed control systems using non‐commutative computer algebra: Singularly perturbed control systems using non-commutative computer algebra

Authors: Helton, J. W. Kronewitter, F. Dell McEneaney, W. M. et al.

Source: International Journal of Robust and Nonlinear Control. 10:983-1003

Subject Terms: Software, source code, etc. for problems pertaining to systems and control theory, 4. Education, Symbolic computation and algebraic computation, singularly perturbed dynamic systems, NCGB, non-commutative algebra, Time-scale analysis and singular perturbations in control/observation systems, noncommutative computer algebra, dynamic control, computer algebra, singular perturbation, NCAlgebra, control systems, Mathematics, noncommutative Gröbner basis algorithms

File Description: application/xml; application/pdf

Access URL: http://www.math.ucsd.edu/%7Ehelton/BILLSPAPERSscanned/HKMS00.pdf
https://zbmath.org/1578147
https://digitalcommons.calpoly.edu/cgi/viewcontent.cgi?article=1015&context=math_fac
http://www.math.ucsd.edu/~helton/BILLSPAPERSscanned/HKMS00.pdf
https://digitalcommons.calpoly.edu/math_fac/13/

Fraction-free algorithm for the computation of diagonal forms matrices over Ore domains using Gröbner bases

Authors: Levandovskyy, Viktor Schindelar, Kristina

Source: Journal of Symbolic Computation. Oct2012, Vol. 47 Issue 10, p1214-1232. 19p.

Subject Terms: *ALGORITHMS, *NORMAL forms (Mathematics), *MATRICES (Mathematics), *FUNCTIONAL equations, *MEROMORPHIC functions, *T-matrix

The Computation of Gröbner Bases Using an Alternative Algorithm

Authors: Apel, Joachim

Subject Terms: Algebra, Pommaret bases

Availability: https://ul.qucosa.de/id/qucosa%3A31850
https://ul.qucosa.de/api/qucosa%3A31850/attachment/ATT-0/

A Note on the Gröbner-Shirshov Bases over Ad-hoc Extensions of Groups

Authors: Karpuz, Eylem G. Ates, Firat Urlu, Nurten et al.

Source: Filomat, 2016 Jan 01. 30(4), 1037-1043.

Access URL: https://www.jstor.org/stable/24898674

Computing diagonal form and Jacobson normal form of a matrix using Gröbner bases

Authors: Levandovskyy, Viktor Schindelar, Kristina

Source: Journal of Symbolic Computation. May2011, Vol. 46 Issue 5, p595-608. 14p.

Subject Terms: *ALGORITHMS, *MATRICES (Mathematics), *EUCLIDEAN algorithm, *TRANSFORMATION groups, *ALGEBRA, *NUMERICAL analysis

GRÖBNER-SHIRSHOV BASES OF SOME WEYL GROUPS

Authors: KARPUZ, EYLEM GÜZEL ATEŞ, FIRAT ÇEVIK, A. SINAN

Source: The Rocky Mountain Journal of Mathematics, 2015 Jan 01. 45(4), 1165-1175.

Access URL: https://www.jstor.org/stable/26411467

Computer Assistance for 'Discovering' Formulas in System Engineering and Operator Theory: Computer assistance for ``discovering'' formulas in system engineering and operator theory

Authors: Helton, J. W. Stankus, Mark

Source: Journal of Functional Analysis. 161:289-363

Subject Terms: Bart-Gohberg-Kaashoek-van Dooren theorem, 0209 industrial biotechnology, Operator-theoretic methods, Software, source code, etc. for problems pertaining to systems and control theory, algebraic theorems, 02 engineering and technology, 01 natural sciences, Software, source code, etc. for problems pertaining to operator theory, operator theory, non-commutative Gröbner basis algorithms, \(H^\infty\) control, 0101 mathematics, system engineering, computer assistance, matrix completion, Mathematics, Computational methods in systems theory, Analysis

File Description: application/xml; application/pdf

Access URL: https://zbmath.org/1270850
https://doi.org/10.1006/jfan.1998.3249
http://www.ricam.oeaw.ac.at/Groebner-Bases-Bibliography/gbbib_files/publication_674.pdf
https://digitalcommons.calpoly.edu/math_fac/17/
https://www.sciencedirect.com/science/article/pii/S0022123698932499
https://works.bepress.com/mstankus/13/download/
https://digitalcommons.calpoly.edu/cgi/viewcontent.cgi?article=1018&context=math_fac

Gröbner–Shirshov basis of the Adyan extension of the Novikov group

Authors: Bokut, L.A. Chainikov, V.V.

Source: Discrete Mathematics. Nov2008, Vol. 308 Issue 21, p4916-4930. 15p.

Subject Terms: *ALGEBRA, *ALGORITHMS, *MATHEMATICAL analysis, ABSTRACTS

Gröbner bases and the number of Latin squares related to autotopisms of order ≤7

Authors: Falcón, R.M. Martín-Morales, J.

Source: Journal of Symbolic Computation. Nov2007, Vol. 42 Issue 11/12, p1142-1154. 13p.

Subject Terms: *ALGEBRA, *MATHEMATICAL analysis, *ALGORITHMS, *LINEAR systems

Right Buchberger Algorithm over Bijective Skew PBW Extensions

Authors: Fajardo, William

Subject Terms: Non-commutative computational algebra, skew P BW extensions, Buchberger algorithm, Gröbner bases, SPBWE library, Maple

Access URL: http://yadda.icm.edu.pl/baztech/element/bwmeta1.element.baztech-55c5adf3-96fe-4e4c-9933-8ba3515256ed

A factorization algorithm for G-algebras and its applications.

Authors: Levandovskyy, Viktor Heinle, Albert

Source: Journal of Symbolic Computation. Mar2018, Vol. 85, p188-205. 18p.

Subject Terms: *FACTORIZATION, *RING theory, *FINITE element method, *RATIONAL root theorem, *ALGORITHMIC randomness, *MATHEMATICAL models

A Generalization of Gröbner Basis Algorithms to Nilpotent Group Rings.

Authors: Madlener, K. Reinert, B.

Source: Applicable Algebra in Engineering, Communication & Computing; Jan1997, Vol. 8 Issue 2, p103-123, 21p

Fast Kötter–Nielsen–Høholdt interpolation over skew polynomial rings and its application in coding theory.

Authors: Bartz, Hannes Jerkovits, Thomas Rosenkilde, Johan

Source: Designs, Codes & Cryptography; Feb2024, Vol. 92 Issue 2, p435-465, 31p

Subject Terms: CODING theory, POLYNOMIAL rings, REED-Solomon codes, DECODING algorithms, INTERPOLATION algorithms, INTERPOLATION

Relative Gröbner and Involutive Bases for Ideals in Quotient Rings.

Authors: Hashemi, Amir Orth, Matthias Seiler, Werner M.

Source: Mathematics in Computer Science; Sep2021, Vol. 15 Issue 3, p453-482, 30p

On Finite Noncommutative Gröbner Bases.

Authors: Diop, Yatma Sow, Djiby

Source: Algebra Colloquium; Sep2020, Vol. 27 Issue 3, p381-388, 8p

Subject Terms: GROBNER bases, NONCOMMUTATIVE rings, ALGORITHMS

Modular Techniques for Noncommutative Gröbner Bases.

Authors: Decker, Wolfram Eder, Christian Levandovskyy, Viktor et al.

Source: Mathematics in Computer Science; Mar2020, Vol. 14 Issue 1, p19-33, 15p

Rewriting as a special case of non-commutative Gröbner basis theory.

Source: Computational & Geometric Aspects of Modern Algebra; 2000, p101-105, 5p

Feynman integral reduction using Gröbner bases.

Authors: Barakat, Mohamed Brüser, Robin Fieker, Claus et al.

Source: Journal of High Energy Physics; May2023, Vol. 2023 Issue 5, p1-33, 33p

Subject Terms: FEYNMAN integrals, FUNCTION algebras, ALGEBRAIC geometry, ALGEBRA, GROBNER bases, DIFFERENTIAL geometry

Computation of Non-Commutative Gröbner Bases in Grassmann and Clifford Algebras.

Authors: Abłamowicz, Rafał

Source: Advances in Applied Clifford Algebras; Oct2010, Vol. 20 Issue 3/4, p447-476, 30p