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ISSAC
2005
Springer
105views Mathematics» more  ISSAC 2005»
14 years 15 days 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...
AAECC
2004
Springer
63views Algorithms» more  AAECC 2004»
13 years 6 months ago
Computation of the Decomposition Group of a Triangular Ideal
Abstract. This article describes two algorithms in order to search decomposition groups of ideals of polynomials with coefficients in a perfect field when those ideals are generate...
I. Abdeljaouad-Tej, Sébastien Orange, Gu&ea...
TSP
2010
13 years 1 months ago
Generalized triangular decomposition in transform coding
A general family of optimal transform coders (TCs) is introduced here based on the generalized triangular decomposition (GTD) developed by Jiang et al. This family includes the Kar...
Ching-Chih Weng, Chun-Yang Chen, P. P. Vaidyanatha...
CORR
2010
Springer
77views Education» more  CORR 2010»
13 years 7 months ago
Triangular Decomposition of Semi-algebraic Systems
Regular chains and triangular decompositions are fundamental and well-developed tools for describing the complex solutions of polynomial systems. This paper proposes adaptations o...
Changbo Chen, James H. Davenport, John P. May, Mar...
ISSAC
2007
Springer
177views Mathematics» more  ISSAC 2007»
14 years 1 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