APL unary matrix operators as represented by the eighth order Dihedral group

  • Authors:
  • John H. Crayton

  • Affiliations:
  • -

  • Venue:
  • APL '74 Proceedings of the sixth international conference on APL
  • Year:
  • 1974

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Abstract

The unary matrix functions transpose, reverse, and rotate form a group of operators over the standard group of m x n matrices under addition. Moreover, the operators themselves form a group proved isomorphic to the eighth-order Dihedral group, D 4.