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Section 4 presents our parallel solutions and their MapReduce implementation.
Then, we develop corresponding parallel solutions based on the GP and hybrid algorithms.
The parallel solutions based on MapReduce are implemented on Hadoop (version 0.20.2) [17].
Previous works have reported good parallel solutions for the maximum subsequence sum problem.
There are good sequential and parallel solutions to the problem of maximum subsequence in the literature.
We develop efficient sequential algorithms as well as corresponding parallel solutions.
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The parallel solution consists of two steps.
Algorithm 1 Parallel solution for tridiagonal linear equations.
Altogether, our proposed parallel solution has good scalability in performance.
Starting from this method, we study two parallel solution strategies.
Altogether, our proposed parallel solution and the exact analytic solution have no noticeable artifacts.
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