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» Numerical algebraic geometry and symbolic computation
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ISSAC
2007
Springer
130views Mathematics» more  ISSAC 2007»
16 years 24 days ago
On probabilistic analysis of randomization in hybrid symbolic-numeric algorithms
Algebraic randomization techniques can be applied to hybrid symbolic-numeric algorithms. Here we consider the problem of interpolating a sparse rational function from noisy values...
Erich Kaltofen, Zhengfeng Yang, Lihong Zhi
ISSAC
2007
Springer
146views Mathematics» more  ISSAC 2007»
16 years 24 days ago
Fast and exact geometric analysis of real algebraic plane curves
An algorithm is presented for the geometric analysis of an algebraic curve f(x, y) = 0 in the real affine plane. It computes a cylindrical algebraic decomposition (CAD) of the pla...
Arno Eigenwillig, Michael Kerber, Nicola Wolpert
ISSAC
2005
Springer
105views Mathematics» more  ISSAC 2005»
16 years 5 days ago
Computing the rank and a small nullspace basis of a polynomial matrix
We reduce the problem of computing the rank and a nullspace basis of a univariate polynomial matrix to polynomial matrix multiplication. For an input n×n matrix of degree d over ...
Arne Storjohann, Gilles Villard
CPHYSICS
2006
85views more  CPHYSICS 2006»
15 years 6 months ago
Simulation of n-qubit quantum systems. II. Separability and entanglement
Studies on the entanglement of n-qubit quantum systems have attracted a lot of interest during recent years. Despite the central role of entanglement in quantum information theory...
T. Radtke, S. Fritzsche
CVPR
2007
IEEE
16 years 8 months ago
A minimal solution to the autocalibration of radial distortion
Epipolar geometry and relative camera pose computation are examples of tasks which can be formulated as minimal problems and solved from a minimal number of image points. Finding ...
Tomás Pajdla, Zuzana Kukelova