The Geometry of Algebraic Systems and Their Exact Solving Using Gröbner Bases

Computing in Science and Engineering

Volumn 6, Issue 2, 2004, Pages 76-79

  Roanes Lozano, Eugenio ^a   Roanes Macías, Eugenio ^a   Laita, Luis M ^b  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

^b UNIVERSIDAD POLITÉCNICA DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRIC SYSTEMS; POLYNOMIAL EQUATION;

COMPUTER SOFTWARE; FUNCTIONS; LINEAR EQUATIONS; LINEAR SYSTEMS; PROBLEM SOLVING; VECTORS;

POLYNOMIALS;

EID: 1542678669     PISSN: 15219615     EISSN: None     Source Type: Journal    
DOI: 10.1109/MCISE.2004.1267612     Document Type: Article

References (4)

1. D. Cox, J. Little, and D. O'Shea, Ideals, Varieties,and Algorithms, Springer-Verlag, 1992.
2. E. Roanes-Macías, Interpretación Geométrica de la Teoría de Ideales, in Spanish, Inst. Jorge Juan, 1974.
3. H. Hironaka, "Resolution of Singularities on an Algebraic Variety over a Field of Characteristic Zero: I,II," Ann. of Mathematics, vol. 79, 1964, pp. 109-326.
4. B. Buchberger, An Algorithm for Finding a Basis for the Residue Class Ring of a Zero-Dimensional Polynomial Ideal, in German, PhD thesis, Univ. of Innsbruck, 1965.