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DAGSTUHL
2006
13 years 6 months ago
Adaptive Triangular System Solving
Abstract. We propose a new adaptive algorithm for the exact simultaneous resolution of several triangular systems over finite fields: it is composed of several practicable variants...
Jean-Guillaume Dumas, Clément Pernet, Jean-...
FCSC
2008
87views more  FCSC 2008»
13 years 4 months ago
On the verification of polynomial system solvers
Abstract. We discuss the verification of mathematical software solving polynomial systems symbolically by way of triangular decomposition. Standard verification techniques are high...
Changbo Chen, Marc Moreno Maza, Wei Pan, Yuzhen Xi...
SMI
2005
IEEE
111views Image Analysis» more  SMI 2005»
13 years 10 months ago
Smooth Adaptive Fitting of 3D Models Using Hierarchical Triangular Splines
The recent ability to measure quickly and inexpensively dense sets of points on physical objects has deeply influenced the way engineers used to represent shapes in CAD systems, ...
Alex Yvart, Stefanie Hahmann, Georges-Pierre Bonne...
JSCIC
2008
96views more  JSCIC 2008»
13 years 4 months ago
Second-Order Accurate Godunov Scheme for Multicomponent Flows on Moving Triangular Meshes
This paper presents a second-order accurate adaptive Godunov method for twodimensional (2D) compressible multicomponent flows, which is an extension of the previous adaptive movin...
Guoxian Chen, Huazhong Tang, Pingwen Zhang
CORR
2010
Springer
77views Education» more  CORR 2010»
13 years 4 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...