Mathematics of Computation

Author(s): S. C. Coutinho; Marcos da Silva Ferreira.
Journal: Math. Comp. 78 (2009), 2427-2433.
MSC (2000): Primary 34M15, 68W30; Secondary 13P10
Posted: May 1, 2009
Retrieve article in: PDF

Abstract: We propose an algorithm to compute exactly the algebraic solutions of Jacobi equations over the projective plane.

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Retrieve articles in Mathematics of Computation with MSC (2000): 34M15, 68W30, 13P10

S. C. Coutinho
Affiliation: Departamento de Ciência da Computação, Instituto de Matemática, Universidade Federal do Rio de Janeiro, P.O. Box 68530, 21945-970 Rio de Janeiro, RJ, Brazil - and - Programa de Engenharia de Sistemas e Computação, COPPE, UFRJ, PO Box 68511, 21941-972, Rio de Janeiro, RJ, Brazil
Email: collier@impa.br

Marcos da Silva Ferreira
Affiliation: Departamento de Ciência da Computação, Instituto de Matemática, Universidade Federal do Rio de Janeiro, P.O. Box 68530, 21945-970 Rio de Janeiro, RJ, Brazil - and - Programa de Engenharia de Sistemas e Computação, COPPE, UFRJ, PO Box 68511, 21941-972, Rio de Janeiro, RJ, Brazil
Email: marcossferreira@gmail.com

DOI: 10.1090/S0025-5718-09-02238-8
PII: S 0025-5718(09)02238-8
Keywords: Jacobi equation, Gr\"obner bases, algebraic solutions
Received by editor(s): April 3, 2006
Received by editor(s) in revised form: April 23, 2008
Posted: May 1, 2009
Additional Notes: During the preparation of this paper the first author was partially supported by grants from CNPq and PRONEX(ALGA)
The second author was partially supported by a scholarship from CNPq
Copyright of article: Copyright 2009, American Mathematical Society

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