An algorithm to find values of minors of skew hadamard and conference matrices

  • Authors:

  • C. Kravvaritis;E. Lappas;M. Mitrouli

  • Affiliations:

  • Department of Mathematics, University of Athens, Panepistimiopolis, Athens, Greece;Department of Mathematics, National Technical University of Athens, Zografou, Athens, Greece;Department of Mathematics, University of Athens, Panepistimiopolis, Athens, Greece

  • Venue:
  • NAA'04 Proceedings of the Third international conference on Numerical Analysis and its Applications
  • Year:
  • 2004

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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.