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Performing computations with a low-bit number representation results in a faster implementation that uses less silicon, and hence allows an algorithm to be implemented in smaller and cheaper processors without loss of performance.
Moreover, an enhanced version of the AWDE implementation that uses iterative refinement (AWDE-IR) is presented.
In particular, authors describe an implementation that uses the Warshall transitive closure algorithm on two Beowulf clusters using MPI.
In this paper, we present an implementation that uses the analytical solutions of these transition matrices to replace the numerical calculations.
When using a CPU implementation that uses the AVX or AVX2 instruction sets the borders of these regions would shift slightly upwards.
Results are reported from our novel implementation that uses MAGMA and CUBLAS accelerator software systems simultaneously with ACML (2013) [2] for multithreaded execution on processors.
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However the algorithms were maintained by means of an implementation that used their paper as a guide.
There is increasing evidence especially from western countries that methods of implementation that use these principles work.
We calculate the number of entangling gates needed when using MS gates, and compare it with other implementations that use Controlled-NOT (CNOT) gates [37].
As for bit-level replicability, it could be ensured in two ways: (1) allow only JVM bytecode in which all functions are compiled in strictfp mode, or (2) use a special JVM implementation that always uses the initial strict floating-point semantics.
We propose an implementation pathway that uses best scientific and applied approaches in both disciplines and advocates mutually beneficial collaborations.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com