Projective Noether swMATH ID: 734 Software Authors: Giusti, Marc; Hägele, Klemens; Lecerf, Grégoire; Marchand, Joël; Salvy, Bruno Description: The Projective Noether Maple Package: Computing the dimension of a projective variety Recent theoretical advances in elimination theory use straight-line programs as a data structure to represent multivariate polynomials. We present here the Projective Noether Package which is a Maple implementation of one of these new algorithms, yielding as a byproduct a computation of the dimension of a projective variety. Comparative results on benchmarks for time and space of several families of multivariate polynomial equation systems are given and we point out both weaknesses and advantages of different approaches Homepage: http://lecerf.perso.math.cnrs.fr/publications/GiHaLeMaSa:1998:pnp.pdf Dependencies: Maple Related Software: Kronecker; SINGULAR; FGb; Magma; ISOLATE; noether.lib; Maple; MILONGA; PHCpack; Gambit; RAGlib; Epsilon; HOMPACK; INTOPT_90; INTLAB; Matlab; AXIOM; FOXBOX; LiDIA; GC Cited in: 15 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year The Projective Noether Maple Package: Computing the dimension of a projective variety. Zbl 0963.68235Giusti, Marc; Hägele, Klemens; Lecerf, Grégoire; Marchand, Joël; Salvy, Bruno 2000 all top 5 Cited by 26 Authors 5 Lecerf, Grégoire 3 Salvy, Bruno 3 Sommese, Andrew John 2 Giusti, Marc 2 Hashemi, Amir 2 Heintz, Joos 2 Sabia, Juan 2 Verschelde, Jan 2 Wampler, Charles W. II 1 Bardet, Magali 1 Durvye, Clémence 1 Faugère, Jean-Charles 1 Hägele, Klemens 1 Jeffrey, David J. 1 Jeronimo, Gabriela 1 Krick, Teresa 1 Marchand, Joël 1 Matera, Guillermo 1 Monagan, Michael B. 1 Parnian, Hossein 1 Perrucci, Daniel 1 Puddu, Susana 1 Seiler, Werner M. 1 Wachenchauzer, Rosita 1 Waissbein, Ariel 1 Zhou, Wenqin all top 5 Cited in 8 Serials 4 Journal of Complexity 2 Journal of Symbolic Computation 1 Computers & Mathematics with Applications 1 Mathematics and Computers in Simulation 1 SIAM Journal on Numerical Analysis 1 Bulletin of the Iranian Mathematical Society 1 Expositiones Mathematicae 1 Foundations of Computational Mathematics all top 5 Cited in 8 Fields 10 Computer science (68-XX) 7 Commutative algebra (13-XX) 6 Algebraic geometry (14-XX) 5 Numerical analysis (65-XX) 4 Field theory and polynomials (12-XX) 3 Functions of a complex variable (30-XX) 2 Real functions (26-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year