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Dependence Analysis for Supercomputing (Paperback, Softcover reprint of the original 1st ed. 1988)
Loot Price: R1,484
Discovery Miles 14 840
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Dependence Analysis for Supercomputing (Paperback, Softcover reprint of the original 1st ed. 1988)
Series: The Springer International Series in Engineering and Computer Science, 60
Expected to ship within 10 - 15 working days
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This book is on dependence concepts and general methods for
dependence testing. Here, dependence means data dependence and the
tests are compile-time tests. 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 minute details
that are known, nor do we deal with clever tricks that all good
programmers would want to use. We do try to convince the reader
that there is a mathematical basis consisting of theories of bounds
of linear functions and linear diophantine equations, that levels
and direction vectors are concepts that arise rather natu rally,
that different dependence tests are really special cases of some
general tests, and so on. Some mathematical maturity is needed for
a good understand ing of the book: mainly calculus and linear
algebra. We have cov ered diophantine equations rather thoroughly
and given a descrip of some matrix theory ideas that are not very
widely known. tion A reader familiar with linear programming would
quickly recog nize several concepts. We have learned a great deal
from the works of M. Wolfe, and K. Kennedy and R. Allen. Wolfe's
Ph. D. thesis at the University of Illinois and Kennedy &
Allen's paper on vectorization of Fortran programs are still very
useful sources on this subject."
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