Algorithm for generating a step matrix by permutation

  • Authors:
  • J. Seehusen

  • Affiliations:
  • Institute of Advanced Studies, SP, Brazil

  • Venue:
  • ACM SIGNUM Newsletter
  • Year:
  • 1980

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Abstract

With an efficient algorithm it can be tested whether an n-dimensional matrix B can be reduced by a permutation. The optimal step matrix, which can be obtained by a permutation, is calculated. The algorithm needs 0(n2-n) operations in the case of an array reprsentation of B. If B is a Sparse matrix with m non-zero offdiagonal elements, the cost is of the order 0(max(m, nlog2(n))). Storage for 4 integer arrays of length n is necessary.