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» Parallel sparse polynomial division using heaps
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CAP
2010
13 years 8 days ago
Parallel sparse polynomial interpolation over finite fields
We present a probabilistic algorithm to interpolate a sparse multivariate polynomial over a finite field, represented with a black box. Our algorithm modifies the algorithm of Ben...
Seyed Mohammad Mahdi Javadi, Michael B. Monagan
ECCC
2011
223views ECommerce» more  ECCC 2011»
13 years 7 days ago
A Case of Depth-3 Identity Testing, Sparse Factorization and Duality
Polynomial identity testing (PIT) problem is known to be challenging even for constant depth arithmetic circuits. In this work, we study the complexity of two special but natural ...
Chandan Saha, Ramprasad Saptharishi, Nitin Saxena
MOC
2011
12 years 8 months ago
Calculating cyclotomic polynomials
Abstract. We present three algorithms to calculate Φn(z), the nth cyclotomic polynomial. The first algorithm calculates Φn(z) by a series of polynomial divisions, which we perfo...
Andrew Arnold, Michael B. Monagan
ICPPW
2006
IEEE
13 years 11 months ago
Parallel Implementation of the Polyhedral Homotopy Method
Homotopy methods to solve polynomial systems are well suited for parallel computing because the solution paths defined by the homotopy can be tracked independently. For sparse po...
Jan Verschelde, Yan Zhuang
ACTA
2006
154views more  ACTA 2006»
13 years 5 months ago
Solving HPP and SAT by P Systems with Active Membranes and Separation Rules
The P systems (or membrane systems) are a class of distributed parallel computing devices of a biochemical type, where membrane division is the frequently investigated way for obta...
Linqiang Pan, Artiom Alhazov