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Algorithms for Matr...
Algorithms for Matrix Transposition on Boolean Cube Configured Ensemble Architectures
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Ho, Ching-Tien (author)
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Johnsson, Lennart (author)
- 1987
- 1987
- English.
- Related links:
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https://urn.kb.se/re...
Abstract
Subject headings
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- In a multiprocessor with distributed storage the data structures have a significant impact on the communication complexity. In this paper we present a few algorithms for performing matrix transposition on a Boolean $n$-cube. One algorithm performs the transpose in a time proportional to the lower bound both with respect to communication start-ups and to element transfer times. We present algorithms for transposing a matrix embedded in the cube by a binary encoding, a binary-reflected Gray code encoding of rows and columns, or combinations of these two encodings. The transposition of a matrix when several matrix elements are identified to a node by consecutive or cyclic partitioning is also considered and lower bound algorithms given. Experimental data are provided for the Intel iPSC and the Connection Machine.
Subject headings
- NATURVETENSKAP -- Data- och informationsvetenskap (hsv//swe)
- NATURAL SCIENCES -- Computer and Information Sciences (hsv//eng)
Keyword
- matrix transpose
- Boolean cubes
- personalized communication
- routing
- data encoding
Publication and Content Type
- ref (subject category)
- kon (subject category)
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