Janet Basis

Papers


Title: Solving Zero-Dimensional Involutive Systems [ps.gz (128,32 kb)]
Author(s): A.Yu.Zharkov
Comments: 10 pages


Title: Involution Approach to Investigating Polynomial Systems [ps.gz (60,81 kb)]
Author(s): A.Yu.Zharkov, Yuri A. Blinkov
Comments: 7 pages


Title: Gröbner Bases and Involutive Methods for Algebraic and Differential Equations [ps.gz (233,70 kb)]
Author(s): Vladimir P. Gerdt
Comments: 21 pages


Title: Involutive Bases of Polynomial Ideals [ps.gz (200,18 kb)]
Author(s): Vladimir P. Gerdt, Yuri A. Blinkov
Comments: 26 pages


Title: Minimal Involutive Bases [ps.gz (180,75 kb)]
Author(s): Vladimir P. Gerdt, Yuri A. Blinkov
Comments: 22 pages


Title: Involutive Divisions in Mathematica: Implementation and Some Applications [ps.gz (214,32 kb)]
Author(s): Vladimir P. Gerdt, Matthias Berth, Günter Czichowski
Comments: 18 pages


Title: Involutive Division Technique: Some Generalizations and Optimizations [ps.gz (183,22 kb)]
Author(s): Vladimir P. Gerdt
Comments: 19 pages


Title: Completion of Linear Differential Systems to Involution [ps.gz (256,91 kb)]
Author(s): Vladimir P. Gerdt
Comments: 23 pages


Title: Constrained Hamiltonian Systems and Gröbner Bases [ps.gz (156,45 kb)]
Author(s): Vladimir P. Gerdt, Soso A. Gogilidze
Comments: 8 pages


Title: Construction of Involutive Monomial Sets for Different Involutive Divisions [ps.gz (172,69 kb)]
Author(s): Vladimir P. Gerdt, Vladimir V.Kornyak, Matthias Berth, Günter Czichowski
Comments: 13 pages


Title: On the Relation between Pommaret and Janet Bases [ps.gz (82,78 kb)]
Author(s): Vladimir P. Gerdt
Comments: 15 pages


Title: Involutivity Applied to Differential Equations [ps.gz (52,77 kb)]
Author(s): Vladimir P. Gerdt
Comments: 6 pages


Title: Computer Algebra and Constrained Dynamics [ps.gz (61,60 kb)]
Author(s): Vladimir P. Gerdt
Comments: 8 pages


Title: Fast Search for the Janet Divisor [ps.gz (64,70 kb)]
Author(s): Vladimir P. Gerdt, Yuri A. Blinkov, Denis A. Yanovich
Comments: 5 pages (in Russian)


Title: Method of Separative Monomials for Involutive Divisions [ps.gz (38,51 kb)]
Author(s): Yuri A. Blinkov
Comments: 3 pages (in Russian)


Title: Computation of involutive bases with Mathematica [ps.gz (68,48 kb)]
Author(s): Matthias Berth, Vladimir P. Gerdt
Comments: 6 pages, Mathematic notebook [gzipped]


Title: Construction of Janet Bases I. Monomial Bases [ps.gz (225,95 kb)]
Author(s): Vladimir P. Gerdt, Yuri A. Blinkov, Denis A. Yanovich
Comments: 15 pages


Title: Construction of Janet Bases II.Polynomial Bases [ps.gz (212,19 kb)]
Author(s): Vladimir P. Gerdt, Yuri A. Blinkov, Denis A. Yanovich
Comments: 15 pages


Title: On an Algorithmic Optimization in Computation of Involutive Bases [ps.gz (48,29 kb)]
Author(s): Vladimir P. Gerdt
Comments: 6 pages (in Russian)


Title: Computing Janet Bases of Toric Ideals [ps.gz (40,49 kb)]
Author(s): Yuri A. Blinkov
Comments: 4 pages (in Russian)


Title: Division and Algorithms in the Ideal Membership Problem [ps.gz (108,20 kb)]
Author(s): Yuri A. Blinkov
Comments: 15 pages (in Russian)


Title: Extended Characteristic Sets of Finitely Generated Differential Ideals [ps.gz (143,48 kb)]
Author(s): Giuseppa Carra'Ferro, Vladimir P. Gerdt
Comments: 11 pages


Title: Parallelism in Computing Janet Bases [ps.gz (137,52 kb)]
Author(s): Vladimir P. Gerdt, Denis A. Yanovich
Comments: 10 pages


Title: Janet Bases of Toric Ideals [ps.gz (150,94 kb)]
Author(s): Vladimir P. Gerdt, Yuri A. Blinkov
Comments: 11 pages


Title: Analysis of Constraints in Light-cone Version of SU(2) Yang-Mills Mechanics [ps.gz (172,18 kb)]
Author(s): Vladimir P. Gerdt, A. M. Khvedelidze, D. M. Mladenov
Comments: 10 pages


Title: Parallelization of an Algorithm for Computation of Involutive Janet Bases [ps.gz (in Russian) (42,48 kb) pdf.zip (in English) (33,44 kb)]
Author(s): Denis A. Yanovich
Comments: 5 pages


Title: Parallel Computation of Involutive and Groebner Bases [pdf.gz ( kb)]
Author(s): V.P.Gerdt, D.A.Yanovich
Comments: 10 pages


Title: New Type of Exact Solvability and of a Hidden Nonlinear Dynamical Symmetry in Anharmonic Oscillators [pdf.gz ( kb)]
Author(s): M.Znoil, D.Yanovich
Comments: pages


Title: Gröbner Bases in Perturbative Calculations [pdf.gz ( 96 kb)]
Author(s): V.P.Gerdt
Comments: 5 pages


Title: Involutive Algorithms for Computing Gröbner Bases [pdf.gz ( 207 kb)]
Author(s): V.P.Gerdt
Comments: 27 pages


Title: Experimental Analysis of Involutive Criteria [pdf.gz ( kb)]
Author(s): V.P.Gerdt, D.A.Yanovich
Comments: pages


Title: Computation of Gröbner Bases for System of Linear Difference Equations [pdf.gz ( kb)]
Author(s): V.P.Gerdt, D.Robertz
Comments: pages


Title: Janet-Like Monomial Division [pdf.gz (140,00 kb)]
Author(s): V.P.Gerdt, Yu.A.Blinkov
Comments: 10 pages


Title: Janet-Like Gröbner Bases [pdf.gz (155,00 kb)]
Author(s): V.P.Gerdt, Yu.A.Blinkov
Comments: 12 pages


Title: On Computation of Gröbner Bases for Linear Difference Systems [pdf.gz ( 99 kb)]
Author(s): V.P.Gerdt
Comments: 5 pages


Title: A Maple Package for Computing Gröbner bases for Linear Recurrence Relations [pdf.gz ( 97 kb)]
Author(s): V.P.Gerdt, D.Robertz
Comments: 5 pages


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