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The geometry of algebraic systems and their exact solving using Grobner bases

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3 Author(s)
Roanes-Lozano, E. ; Algebra Dept., Univ. Complutense de Madrid, Spain ; Roanes-Macias, E. ; Laita, L.M.

Although exact methods for solving general polynomial systems are incorporated into well-known computer algebra systems such as Derive, Maple, Mathematica, MuPad, and Reduce, only a small portion of the scientific community knows about them. This article introduces one such method - Grobner bases - for non-mathematicians in an intuitive way. Specifically, we show the analogies and differences between linear and algebraic system solving, with an emphasis on the underlying geometric aspects.

Published in:

Computing in Science & Engineering  (Volume:6 ,  Issue: 2 )