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Nt of Computer and Information Sciences Newark, Delaware 19716 ABSTRACT Here we offer a new randomized parallel algorithm that determines the Smith normal form of a matrix with entries being univariate polynomials with coefficients in an arbitrary field. The algorithm has two important advantages over our previous one: the multipliers relating the Smith form to the input matrix are computed, and the algorithm is probabilistic of Las Vegas type, i.e., always finds the correct answer. The Smith fo.
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Pp FAQ
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In computer science, a parallel algorithm, as opposed to a traditional serial algorithm, is an algorithm which can do multiple operations in a given time. It has been a tradition of computer science to describe serial algorithms in abstract machine models, often the one known as random-access machine.
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In computer science, a parallel algorithm, as opposed to a traditional serial algorithm, is an algorithm which can do multiple operations in a given time. It has been a tradition of computer science to describe serial algorithms in abstract machine models, often the one known as random-access machine.
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Parallel computing is a type of computing architecture in which several processors simultaneously execute multiple, smaller calculations broken down from an overall larger, complex problem. Image from Lawrence Livermore National Laboratory.
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Distributed computing is often used in tandem with parallel computing. Parallel computing on a single computer uses multiple processors to process tasks in parallel, whereas distributed parallel computing uses multiple computing devices to process those tasks.
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Examples of Parallel Algorithms Primes. Sparse Matrix Multiplication. Planar Convex-Hull. Three Other Algorithms.
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Parallel algorithms are methods for organizing the computational work of a given application such that multiple parts of the workload can be performed concurrently to reduce the time to solution and increase performance.
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Parallel search algorithms are designed to solve algorithmic problems using a network of processes while distributing the workload among them. Processes communicate via files or message passing. An efficient solution is obtained, if different tasks can be distributed in a way that working power is effectively used.
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Keywords relevant to Parallel Algorithms For Matrix Normal Forms - Math Ncsu
- Hermite
- Lemma
- Polynomials
- squarefree
- invariant
- unimodular
- pp
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- nonzero
- S1
- multipliers
- i-th
- elds
- i1
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