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» Sparse polynomial division using a heap
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CAP
2010
13 years 6 days ago
Parallel sparse polynomial division using heaps
We present a parallel algorithm for exact division of sparse distributed polynomials on a multicore processor. This is a problem with significant data dependencies, so our solutio...
Michael B. Monagan, Roman Pearce
JSC
2011
99views more  JSC 2011»
12 years 8 months ago
Sparse polynomial division using a heap
In 1974, Johnson showed how to multiply and divide sparse polynomials using a binary heap. This paper introduces a new algorithm that uses a heap to divide with the same complexit...
Michael B. Monagan, Roman Pearce
CASC
2007
Springer
112views Mathematics» more  CASC 2007»
13 years 11 months ago
Polynomial Division Using Dynamic Arrays, Heaps, and Packed Exponent Vectors
A common way of implementing multivariate polynomial multiplication and division is to represent polynomials as linked lists of terms sorted in a term ordering and to use repeated ...
Michael B. Monagan, Roman Pearce
ISSAC
2009
Springer
155views Mathematics» more  ISSAC 2009»
13 years 11 months ago
Parallel sparse polynomial multiplication using heaps
We present a high performance algorithm for multiplying sparse distributed polynomials using a multicore processor. Each core uses a heap of pointers to multiply parts of the poly...
Michael B. Monagan, Roman Pearce
ECCC
2011
223views ECommerce» more  ECCC 2011»
13 years 5 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