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

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书目名称Dependence Analysis for Supercomputing
编辑Utpal Banerjee
视频video
丛书名称The Springer International Series in Engineering and Computer Science
图书封面Titlebook: Dependence Analysis for Supercomputing;  Utpal Banerjee Book 1988 Springer Science+Business Media New York 1988 Calc.Mathematica.algebra.bo
描述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
出版日期Book 1988
关键词Calc; Mathematica; algebra; boundary element method; calculus; diophantine equation; equation; form; functio
版次1
doihttps://doi.org/10.1007/978-1-4684-6894-6
isbn_softcover978-1-4684-6896-0
isbn_ebook978-1-4684-6894-6Series ISSN 0893-3405
issn_series 0893-3405
copyrightSpringer Science+Business Media New York 1988
The information of publication is updating

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https://doi.org/10.1007/978-3-8350-9569-4loops. Two statements S and T are chosen arbitrarily in the program. They define a number of nests: the common nest . consisting of loops containing both S and T, the nest . . of loops containing S but not T, the nest . . of loops containing T but not S, .(S) = (. .) consisting of all loops containi
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Dynamisches Kommunikationsmanagement, one must decide if there is an integer solution to a system of linear diophantine equations satisfying a system of linear inequalities (constraints). If the system of equations (without any further constraints) has no integer solution, then there is no dependence. When integer solutions (to the sy
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