Level-m scaled circulant factor matrices over the complex number field and the quaternion division algebra

  • Authors:

  • Zhao-Lin Jiang;San-Yang Liu

  • Affiliations:

  • Department of Applied Mathematics, Xidian University, Xi'an, 710071, P. R. China and Department of Mathematics, Linyi Teachers College, Linyi, Shandong, 276005, P. R. China;Department of Applied Mathematics, Xidian University, Xi'an, 710071, P. R. China

  • Venue:
  • Journal of Applied Mathematics and Computing
  • Year:
  • 1986

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Abstract

The level-m scaled circulant factor matrix over the complex number field is introduced. Its diagonalization and spectral decomposition and representation are discussed. An explicit formula for the entries of the inverse of a level-m scaled circulant factor matrix is presented. Finally, an algorithm for finding the inverse of such matrices over the quaternion division algebra is given.