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An Algorithm to Find Values of Minors of Skew Hadamard and Conference Matrices

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Numerical Analysis and Its Applications (NAA 2004)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3401))

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Abstract

We give an algorithm to obtain formulae and values for minors of skew Hadamard and conference matrices. One step in our algorithm allows the (n–j) × (n–j) minors of skew Hadamard and conference matrices to be given in terms of the minors of a 2j − 1 × 2j − 1 matrix. In particular we illustrate our algorithm by finding explicitly all the (n-3) × (n-3) minors of such matrices.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Athens, Panepistimiopolis, 15784, Athens, Greece

    C. Kravvaritis & M. Mitrouli

  2. Department of Mathematics, National Technical University of Athens, Zografou, 15773, Athens, Greece

    E. Lappas

Authors
  1. C. Kravvaritis
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  2. E. Lappas
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  3. M. Mitrouli
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Editor information

Editors and Affiliations

  1. Department of Land Surveying and Geo-Informatics, The Hong Kong Polytechnic University, Kowloon, P.O. Box, Hong Kong

    Zhilin Li

  2. Department of Mathematics, University of Rousse, 7017, Rousse, Bulgaria

    Lubin Vulkov

  3. Informatics & Mathematical Modeling, Technical University of Denmark, DK-2800, Lyngby, Denmark

    Jerzy Waśniewski

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© 2005 Springer-Verlag Berlin Heidelberg

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Kravvaritis, C., Lappas, E., Mitrouli, M. (2005). An Algorithm to Find Values of Minors of Skew Hadamard and Conference Matrices. In: Li, Z., Vulkov, L., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2004. Lecture Notes in Computer Science, vol 3401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31852-1_45

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  • DOI: https://doi.org/10.1007/978-3-540-31852-1_45

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-24937-5

  • Online ISBN: 978-3-540-31852-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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