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JSC
2007
97views more  JSC 2007»
13 years 11 months ago
On approximate triangular decompositions in dimension zero
Triangular decompositions for systems of polynomial equations with n variables, with exact coefficients, are well developed theoretically and in terms of implemented algorithms i...
Marc Moreno Maza, Gregory J. Reid, Robin Scott, We...
ISSAC
2005
Springer
105views Mathematics» more  ISSAC 2005»
14 years 4 months ago
Lifting techniques for triangular decompositions
We present lifting techniques for triangular decompositions of zero-dimensional varieties, that extend the range of the previous methods. We discuss complexity aspects, and report...
Xavier Dahan, Marc Moreno Maza, Éric Schost...
ISSAC
2007
Springer
177views Mathematics» more  ISSAC 2007»
14 years 5 months ago
Component-level parallelization of triangular decompositions
We discuss the parallelization of algorithms for solving polynomial systems symbolically by way of triangular decompositions. We introduce a component-level parallelism for which ...
Marc Moreno Maza, Yuzhen Xie