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79
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ANTS
2004
Springer
109views Algorithms» more  ANTS 2004»
15 years 6 months ago
On the Complexity of Computing Units in a Number Field
Given an algebraic number field K, such that [K : Q] is constant, we show that the problem of computing the units group O∗ K is in the complexity class SPP. As a consequence, w...
Vikraman Arvind, Piyush P. Kurur
100
Voted
PVM
1997
Springer
15 years 4 months ago
Performance of CAP-Specified Linear Algebra Algorithms
The traditional approach to the parallelization of linear algebra algorithms such as matrix multiplication and LU factorization calls for static allocation of matrix blocks to proc...
Marc Mazzariol, Benoit A. Gennart, Vincent Messerl...
FOCS
2006
IEEE
15 years 6 months ago
Algebraic Structures and Algorithms for Matching and Matroid Problems
We present new algebraic approaches for several wellknown combinatorial problems, including non-bipartite matching, matroid intersection, and some of their generalizations. Our wo...
Nicholas J. A. Harvey
ICPR
2008
IEEE
15 years 7 months ago
Radon transform and Conformal Geometric Algebra with lines
In this paper we apply the classic theory of Harmonic Analysis and the Conformal Geometric Algebra (CGA) to evaluate the Fourier transform on the unit sphere S2 and on the rotatio...
Luis Falcón-Morales, Eduardo Bayro-Corrocha...
93
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SODA
2010
ACM
163views Algorithms» more  SODA 2010»
15 years 10 months ago
Geometric optimization and sums of algebraic functions
We present a new optimization technique that yields the first FPTAS for several geometric problems. These problems reduce to optimizing a sum of non-negative, constant description...
Antoine Vigneron