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Volumn 559, Issue 1 SPEC. ISS., 2006, Pages 215-219

A Maple package for computing Gröbner bases for linear recurrence relations

Author keywords

Difference algebra; Difference scheme; Feynman integral; Gr bner bases; Janet like bases; Maple; Recurrence relations

Indexed keywords

ALGEBRA; LAPLACE TRANSFORMS; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 33644933144     PISSN: 01689002     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nima.2005.11.171     Document Type: Article
Times cited : (21)

References (14)
  • 4
    • 27844583203 scopus 로고    scopus 로고
    • The Maple package "janet": I. Polynomial systems
    • V.G. Ganzha, E.W. Mayr, E.V. Vorozhtsov (Eds.), Institute of Informatics, Technical University of Munich, Garching
    • Yu.A. Blinkov, V.P. Gerdt, C.F. Cid, W. Plesken, D. Robertz, The Maple package "Janet": I. Polynomial systems. Computer Algebra in Scientific Computing/CASC 2003, V.G. Ganzha, E.W. Mayr, E.V. Vorozhtsov (Eds.), Institute of Informatics, Technical University of Munich, Garching, 2003, pp. 31-40;
    • (2003) Computer Algebra in Scientific Computing/CASC 2003 , pp. 31-40
    • Blinkov, Yu.A.1    Gerdt, V.P.2    Cid, C.F.3    Plesken, W.4    Robertz, D.5
  • 5
    • 33644956956 scopus 로고    scopus 로고
    • The Maple package "janet": II. Polynomial systems
    • V.G. Ganzha, E.W. Mayr, E.V. Vorozhtsov (Eds.), Institute of Informatics, Technical University of Munich, Garching
    • The Maple package "Janet": II. Polynomial systems. Linear Partial Differential Equations, V.G. Ganzha, E.W. Mayr, E.V. Vorozhtsov (Eds.), Institute of Informatics, Technical University of Munich, Garching, 2003, pp. 41-54.
    • (2003) Linear Partial Differential Equations , pp. 41-54
  • 6
    • 33644956573 scopus 로고    scopus 로고
    • Involutive algorithms for computing gröbner bases
    • IOS Press, Amsterdam, arXiv:math.AC/0501111, 2005
    • V.P. Gerdt, Involutive Algorithms for Computing Gröbner Bases. Computational Commutative and non-Commutative Algebraic Geometry, IOS Press, Amsterdam, 2005, pp. 199-225, arXiv:math.AC/0501111, 2005.
    • (2005) Computational Commutative and Non-commutative Algebraic Geometry , pp. 199-225
    • Gerdt, V.P.1
  • 7
    • 33744921395 scopus 로고    scopus 로고
    • Janet-like Monomial Division V.G. Ganzha, E.W. Mayr, E.V. Vorozhtsov (Eds.), Springer, Berlin
    • V.P. Gerdt, Yu.A. Blinkov, Janet-like Monomial Division. Computer Algebra in Scientific Computing/CASC 2005, V.G. Ganzha, E.W. Mayr, E.V. Vorozhtsov (Eds.), Springer, Berlin, 2005, pp. 174-183;
    • (2005) Computer Algebra in Scientific Computing/CASC 2005 , pp. 174-183
    • Gerdt, V.P.1    Blinkov, Yu.A.2
  • 8
    • 33644963088 scopus 로고    scopus 로고
    • V.G. Ganzha, E.W. Mayr, E.V. Vorozhtsov (Eds.), Springer, Berlin
    • Janet-like Gröbner Bases, V.G. Ganzha, E.W. Mayr, E.V. Vorozhtsov (Eds.), Springer, Berlin, 2005, pp. 184-195.
    • (2005) Janet-like Gröbner Bases , pp. 184-195
  • 11
    • 33644939678 scopus 로고    scopus 로고
    • Experimental analysis of involutive criteria
    • A. Dolzmann A. Seidl T. Sturm BOD Norderstedt Germany
    • V.P. Gerdt, and D.A. Yanovich Experimental analysis of involutive criteria A. Dolzmann A. Seidl T. Sturm Algorithmic Algebra and Logic 2005 2005 BOD Norderstedt Germany 105 109
    • (2005) Algorithmic Algebra and Logic 2005 , pp. 105-109
    • Gerdt, V.P.1    Yanovich, D.A.2
  • 12
    • 24044441756 scopus 로고    scopus 로고
    • Detecting unnecessary reductions in an involutive basis computation
    • J. Apel, R. Hemmecke, Detecting unnecessary reductions in an involutive basis computation, RISC Linz Report Series 02-22, 2002.
    • (2002) RISC Linz Report Series , vol.2 , Issue.22
    • Apel, J.1    Hemmecke, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.