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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… Expand
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Related topics

Related topics

6 relations
Elimination theoryRegular chainRegular semi-algebraic systemRegularChains
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2015
2015
Digital image watermarking using partial pivoting lower and upper triangular decomposition into the wavelet domain
A digital image watermarking algorithm using partial pivoting lower and upper triangular (PPLU) decomposition is proposed. In… Expand
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Highly Cited
2013
Highly Cited
2013
Triangular decomposition of semi-algebraic systems
Regular chains and triangular decompositions are fundamental and well-developed tools for describing the complex solutions of… Expand
  • table 1
  • table 2
  • table 3
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Highly Cited
2009
Highly Cited
2009
Computing cylindrical algebraic decomposition via triangular decomposition
Cylindrical algebraic decomposition is one of the most important tools for computing with semi-algebraic sets, while triangular… Expand
  • table 1
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Highly Cited
2008
Highly Cited
2008
The generalized triangular decomposition
Given a complex matrix H, we consider the decomposition H = QRP*, where R is upper triangular and Q and P have orthonormal… Expand
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  • table 6.1
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2008
2008
Mixed Constraint Preconditioners for the iterative solution of FE coupled consolidation equations
The Finite Element (FE) integration of the coupled consolidation equations requires the solution of linear symmetric systems with… Expand
  • table 1
  • figure 1
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  • figure 2
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Highly Cited
2005
Highly Cited
2005
Lifting techniques for triangular decompositions
We present lifting techniques for triangular decompositions of zero-dimensional varieties, that extend the range of the previous… Expand
  • table 2
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Highly Cited
2003
Highly Cited
2003
Complete Solution Classification for the Perspective-Three-Point Problem
We use two approaches to solve the perspective-three-point (P3P) problem: the algebraic approach and the geometric approach. In… Expand
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Highly Cited
1997
Highly Cited
1997
Root Categories and Simple Lie Algebras
Abstract By using the T 2 -orbit category of the derived category of a hereditary algebra, which is proved to be a triangulated… Expand
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1996
1996
Triangular Decomposition of the Composition Algebra of the Kronecker Algebra
Abstract LetAbe a finite-dimensional hereditary algebra over a finite field, and let H (A) and C (A) be, respectively, the Ringel… Expand
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Highly Cited
1995
Highly Cited
1995
Lie Algebras with Triangular Decompositions
Lie Algebras. Lie Algebras Admitting Triangular Decompositions. Lattices and Root Systems. Contragredient Lie Algebras. The Weyl… Expand
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