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D.4.33 rstandard_lib

Library:
rstandard.lib
Purpose:
Computes Janet bases and border bases for ideals

Authors:
Shamsa Kanwal lotus_zone16@yahoo.com
Gerhard Pfister pfister@mathematik.uni-kl.de

Overview:
Computing Janet bases and border bases for any ordering using the idea of r-standard bases (defined by V. Gerdt)

References:
[1] A. Kehrein, M. Kreuzer, L. Robbiano: An algebrists view on border bases, in: A. Dickenstein and I. Emiris (eds.), Solving Polynomial Equations: Foundations, Algorithms and Applications, Springer, Heidelberg 2005, 169-202.

[2] V.P. Gerdt: Involute Algorithms for Computing Groebner Bases, In Computational Commutative and Non-Computational Algebra Geometry, S.Conjocaru, G. Pfister and V. Ufnarovski (Eds.), NATO Science Series,105 Press 2005, 199-255.

Procedures:

D.4.33.1 borderBasis  computes a border basis of the ideal I
D.4.33.2 modBorder  computes a border basis of the ideal I using modular methods
D.4.33.3 rJanet  computes a Janet basis of the ideal I
D.4.33.4 modJanet  computes a Janet basis of the ideal I using modular methods