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  Matrix Transpose on Meshes: Theory and Practice

Kaufmann, M., Meyer, U., & Sibeyn, J. F. (1997). Matrix Transpose on Meshes: Theory and Practice. Computers and Artificial Intelligence, 16(2), 107-140.

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 Creators:
Kaufmann, Michael1, Author           
Meyer, Ulrich1, Author           
Sibeyn, Jop F.2, Author
Affiliations:
1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              
2Max Planck Society, ou_persistent13              

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 Abstract: We consider the problem of matrix transpose on mesh-connected processor networks. On the theoretical side, we present the first optimal algorithm for matrix transpose on two-dimensional meshes.Then we consider issues on implementations, show that the theoretical best bound cannot be achieved and present an alternative approach that really improves the practical performance. Finally, we introduce the concept of orthogonalizations, which are generalization of matrix transposes. We show how to realize them efficiently and present interesting applications of this new technique.

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Language(s): eng - English
 Dates: 2010-03-021997
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: eDoc: 517679
Other: Local-ID: C1256428004B93B8-059D3A8A0F8D4A76C12564AC0030BD92-Kaufmann-Meyer-Sibeyn97a
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Title: Computers and Artificial Intelligence
Source Genre: Journal
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Pages: - Volume / Issue: 16 (2) Sequence Number: - Start / End Page: 107 - 140 Identifier: -