By Vijaya Ramachandran (auth.), Michael T. Heath, Abhiram Ranade, Robert S. Schreiber (eds.)

ISBN-10: 1461215161

ISBN-13: 9781461215165

ISBN-10: 1461271754

ISBN-13: 9781461271758

This IMA quantity in arithmetic and its purposes ALGORITHMS FOR PARALLEL PROCESSING relies at the court cases of a workshop that was once an essential component of the 1996-97 IMA software on "MATHEMATICS IN HIGH-PERFORMANCE COMPUTING. " The workshop introduced jointly set of rules builders from concept, combinatorics, and clinical computing. the subjects ranged over versions, linear algebra, sorting, randomization, and graph algorithms and their research. We thank Michael T. Heath of collage of lllinois at Urbana (Com­ puter Science), Abhiram Ranade of the Indian Institute of expertise (Computer technology and Engineering), and Robert S. Schreiber of Hewlett­ Packard Laboratories for his or her very good paintings in organizing the workshop and enhancing the complaints. We additionally take this chance to thank the nationwide technology Founda­ tion (NSF) and the military study workplace (ARO), whose monetary help made the workshop attainable. A vner Friedman Robert Gulliver v PREFACE The Workshop on Algorithms for Parallel Processing used to be held on the IMA September sixteen - 20, 1996; it was once the 1st workshop of the IMA yr devoted to the math of excessive functionality computing. The paintings­ store organizers have been Abhiram Ranade of The Indian Institute of Tech­ nology, Bombay, Michael Heath of the college of Illinois, and Robert Schreiber of Hewlett Packard Laboratories. Our inspiration was once to compile researchers who do leading edge, fascinating, parallel algorithms study on a variety of issues, and via sharing insights, difficulties, instruments, and techniques to profit whatever of price from one another.

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32 ANGELOS BILAS ET AL. rfac. FIG. 7. Simulated node architecture. The memory bus is split-transaction, 64 bits wide, with a clock cycle 4x slower than the processor clock. Arbitration takes one bus cycle, and the priorities are, in decreasing order: second level cache, write buffer, memory, incoming path of the network interface, outgoing path of network interface. The I/O bus is 32 bits wide and has a clock speed half that of the memory bus. The relative bus bandwidths and processor speed match modern systems.

In this section we discuss how the protocols behave when moving from uniprocessor to SMP nodes. Tables 2 and 3 present these results. 42 ANGELOS BILAS ET AL. Application FFT LU (contiguous) Ocean (contiguous) Bames(rebuilcf) Barnes (no-locks) Problem Size Efficiency Factors AURC-l AURC-4 HLRC·l HLRC-4 18 36% 42% 26% 40% 20 57% 65% 45% 59% 512 58% 68% 53% 66% 258 21% 51% 19% 47% 514 33% 82% 29% 79% 16K 33% 39% 15% 24% 8K 86% 83% 74% 80% 76% 16K 89% 84% 70% 1024 17% 8% 4% 21% Raylrace car 39% 72% 86% 90% Voirend head 58% 76% 50% 56% Radix Water(nsquared) 512 58% 62% 55% 57% Water(spatiaij 512 51% 55% 46% 63% TABLE 3 Efficiency factors (as %) for the uniprocessor and the SM?

At a page fault, a processor simply fetches the page from the home as before. While the disadvantage of home-based protocols is that they may fetch more data by fetching whole pages rather than diffs on a fault, the advantages can be summarized as follows: accesses to pages on their home nodes cause no page faults even if the pages have been written to by other processors, non-home nodes can always bring their shared pages up-to-date with a single round-trip message, and protocol data and messages are much smaller than under standard LRG.

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Algorithms for Parallel Processing by Vijaya Ramachandran (auth.), Michael T. Heath, Abhiram Ranade, Robert S. Schreiber (eds.)


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