Titlebook: Dependence Analysis for Supercomputing; Utpal Banerjee Book 1988 Springer Science+Business Media New York 1988 Calc.Mathematica.algebra.bo

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Book 1988tests. We felt the time was ripe to create a solid theory of the subject, to provide the research community with a uniform conceptual framework in which things fit together nicely. How successful we have been in meeting these goals, of course, remains to be seen. We do not try to include all the min

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Introduction,l processing in some form. Parallel processing consists in the exploitation of parallelism at one or more levels (i.e., at job, program, subroutine, loop, statement, or instruction level), and its use is not limited to supercomputers alone.

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Dynamisches Kommunikationsmanagementay the groundwork for the first approach by showing how to solve linear diophantine equations. This chapter prepares us for the second approach. Here, the actual expression for the general solution is not needed; we use necessary conditions involving bounds of the linear functions that represent the left hand sides of the equations.

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https://doi.org/10.1007/978-3-8350-9569-4ng S, and .(T) = (. .) consisting of all loops containing T. The indexes of the nests . ., . . are denoted by . ., . ., respectively, so that the indexes of .(S) and .(T) are (. .) and (. .). The fundamental dependence concepts are explained in the first section of this chapter and the results underlying dependence tests are studied in the second.