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CCA
2000
Springer
14 years 2 days ago
A Computable Spectral Theorem
Computing the spectral decomposition of a normal matrix is among the most frequent tasks to numerical mathematics. A vast range of methods are employed to do so, but all of them su...
Martin Ziegler, Vasco Brattka
ISSAC
2005
Springer
119views Mathematics» more  ISSAC 2005»
14 years 1 months ago
Computing the multiplicity structure in solving polynomial systems
This paper presents a duality analysis and an algorithm for computing the multiplicity structure of a zero to a polynomial system, while the zero can be exact or approximate with ...
Barry H. Dayton, Zhonggang Zeng
DAGSTUHL
2007
13 years 9 months ago
An Inner/Outer Stationary Iteration for Computing PageRank
We present a stationary iterative scheme for PageRank computation. The algorithm is based on a linear system formulation of the problem, uses inner/outer iterations, and amounts to...
Andrew P. Gray, Chen Greif, Tracy Lau
CORR
2010
Springer
101views Education» more  CORR 2010»
13 years 7 months ago
Computing the Least Fixed Point of Positive Polynomial Systems
We consider equation systems of the form X1 = f1(X1, . . . , Xn), . . . , Xn = fn(X1, . . . , Xn) where f1, . . . , fn are polynomials with positive real coefficients. In vector fo...
Javier Esparza, Stefan Kiefer, Michael Luttenberge...
ICCV
2003
IEEE
14 years 9 months ago
Globally Convergent Autocalibration
Existing autocalibration techniques use numerical optimization algorithms that are prone to the problem of local minima. To address this problem, we have developed a method where ...
Arrigo Benedetti, Alessandro Busti, Michela Farenz...