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In-Place Transposition of Rectangular Matrices

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Book cover Applied Parallel Computing. State of the Art in Scientific Computing (PARA 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4699))

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Abstract

We present a new Algorithm for In-Place Rectangular Transposition of an m by n matrix A that is efficient. In worst case it is O(N logN) where N = mn. It uses a bit-vector of size IWORK words to further increase its efficiency. When IWORK=0 no extra storage is used. We also review some of the other existing algorithms for this problem. These contributions were made by Gower, Windley, Knuth, Macleod, Laffin and Brebner (ACM Alg. 380), Brenner (ACM Alg. 467), and Cate and Twigg (ACM Alg. 513). Performance results are given and they are compared to an Out-of-Place Transposition algorithm as well as ACM Algorithm 467.

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Author information

Authors and Affiliations

  1. IBM T. J. Watson Research Center, Yorktown Heights, NY 10598, USA

    Fred G. Gustavson

  2. Faculty of Mathematics and Information Science, Warsaw University of Technology, Warsaw, Poland

    Tadeusz Swirszcz

Authors
  1. Fred G. Gustavson
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  2. Tadeusz Swirszcz
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Bo Kågström Erik Elmroth Jack Dongarra Jerzy Waśniewski

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© 2007 Springer-Verlag Berlin Heidelberg

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Gustavson, F.G., Swirszcz, T. (2007). In-Place Transposition of Rectangular Matrices. In: Kågström, B., Elmroth, E., Dongarra, J., Waśniewski, J. (eds) Applied Parallel Computing. State of the Art in Scientific Computing. PARA 2006. Lecture Notes in Computer Science, vol 4699. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75755-9_68

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  • DOI: https://doi.org/10.1007/978-3-540-75755-9_68

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-75754-2

  • Online ISBN: 978-3-540-75755-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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