Re: Banerjee inequality

jle@ural.owlnet.rice.edu (Jason Lee Eckhardt)
Mon, 5 Nov 2007 13:59:07 +0000 (UTC)

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From: jle@ural.owlnet.rice.edu (Jason Lee Eckhardt)
Newsgroups: comp.compilers
Date: Mon, 5 Nov 2007 13:59:07 +0000 (UTC)
Organization: Rice University, Houston, TX
References: 07-11-006
Keywords: analysis
Posted-Date: 06 Nov 2007 10:39:43 EST

=?ISO-8859-1?Q?Pertti_Kellom=E4ki?= <pertti.kellomaki@tut.fi> wrote:
>I am trying to wrap my head around the Banerjee inequality (a basis
>for a particular form of dependence testing in loops). While I
>understand the gross outline, I am trying to work out the details to
>convince myself. However, the proofs in Allen and Kennedy's Optimizing
>Compilers for Modern Architectures are given in such high level that I
>am having a hard time filling in some of the gaps.
>
>Does anyone know of sources where the proofs would be spelled
>out in more detail?


    See:
      Zima and Chapman, "Supercompilers for Parallel and Vector Computers", 1991.
      Chapter 4 and Appendix B.


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