# Triangular decomposition

## Papers overview

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2011

2011

- ISSAC
- 2011

This article is a continuation of our earlier work [3], which introduced triangular decompositions of semi-algebraic systems andâ€¦Â (More)

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2010

2010

- IEEE Transactions on Signal Processing
- 2010

A general family of optimal transform coders (TCs) is introduced here based on the generalized triangular decomposition (GTDâ€¦Â (More)

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2010

2010

- ISSAC
- 2010

Regular chains and triangular decompositions are fundamental and well-developed tools for describing the complex solutions ofâ€¦Â (More)

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Highly Cited

2009

Highly Cited

2009

- ISSAC
- 2009

Cylindrical algebraic decomposition is one of the most important tools for computing with semi-algebraic sets, while triangularâ€¦Â (More)

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2008

2008

- Math. Comput.
- 2008

Given a complex matrix H, we consider the decomposition H = QRPâˆ—, where R is upper triangular and Q and P have orthonormalâ€¦Â (More)

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2007

2007

- CASC
- 2007

We introduce the concept of comprehensive triangular decomposition for a parametric polynomial system and propose an algorithmâ€¦Â (More)

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2007

2007

- Journal of Chemical Information and Modeling
- 2007

We describe a new method of describing the pucker of an N-member monocyclic ring using N - 3 parameters. To accomplish thisâ€¦Â (More)

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2005

Highly Cited

2005

- ISSAC
- 2005

We present lifting techniques for triangular decompositions of zero-dimensional varieties, that extend the range of the previousâ€¦Â (More)

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1999

Highly Cited

1999

- 1999

Different kinds of triangular decompositions of algebraic varieties are presented. The main result is an efficient method forâ€¦Â (More)

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1994

1994

- SIAM Journal on Optimization
- 1994

Abstract. This paper generalizes to the nonlinear case a standard way to solve general sparse systems of linear equations. Inâ€¦Â (More)

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