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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/13256

Title: Software Engineering and Complexity in Effective Algebraic Geometry
Authors: Heintz, Joos
Kuijpers, Bart
Rojas Paredes, Andrés
Issue Date: 2011
Abstract: We introduce the notion of a robust parameterized arithmetic circuit for the evaluation of algebraic families of multivariate polynomials. Based on this notion, we present a computation model, adapted to Scientific Computing, which captures all known branching parsimonious symbolic algorithms in effective Algebraic Geometry. We justify this model by arguments from Software Engineering. Finally we exhibit a class of simple elimination problems of effective Algebraic Geometry which require exponential time to be solved by branching parsimonious algorithms of our computation model.
URI: http://hdl.handle.net/1942/13256
Link to publication: http://arxiv.org/abs/1110.3030
Category: O
Type: Preprint
Appears in Collections: Research publications

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