Triangular decomposition

In computer algebra, a triangular decomposition of a polynomial system S is a set of simpler polynomial systems S1, ..., Se such that a point is a… (More)
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2011
2011
This article is a continuation of our earlier work [3], which introduced triangular decompositions of semi-algebraic systems and… (More)
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2010
2010
A general family of optimal transform coders (TCs) is introduced here based on the generalized triangular decomposition (GTD… (More)
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2010
2010
Regular chains and triangular decompositions are fundamental and well-developed tools for describing the complex solutions of… (More)
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Highly Cited
2009
Highly Cited
2009
Cylindrical algebraic decomposition is one of the most important tools for computing with semi-algebraic sets, while triangular… (More)
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2008
2008
Given a complex matrix H, we consider the decomposition H = QRP∗, where R is upper triangular and Q and P have orthonormal… (More)
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2007
2007
We introduce the concept of comprehensive triangular decomposition for a parametric polynomial system and propose an algorithm… (More)
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2007
2007
We describe a new method of describing the pucker of an N-member monocyclic ring using N - 3 parameters. To accomplish this… (More)
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Highly Cited
2005
Highly Cited
2005
We present lifting techniques for triangular decompositions of zero-dimensional varieties, that extend the range of the previous… (More)
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Highly Cited
1999
Highly Cited
1999
Different kinds of triangular decompositions of algebraic varieties are presented. The main result is an efficient method for… (More)
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1994
1994
Abstract. This paper generalizes to the nonlinear case a standard way to solve general sparse systems of linear equations. In… (More)
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