Efficient algorithm for finding the inverse and the group inverse of FLS r-circulant matrix

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Abstract

An efficient algorithm for finding the inverse and the group inverse of the FLS r-circulant matrix is presented by Euclidean algorithm. Extension is made to compute the inverse of the FLS r-retrocirculant matrix by using the relationship between an FLS r-circulant matrix and an FLS r-retrocirculant matrix. Finally, some examples are given.

Original languageEnglish
Pages (from-to)45-57
Number of pages13
JournalJournal of Applied Mathematics and Computing
Volume18
Issue number1-2
DOIs
StatePublished - May 2005

Keywords

  • Euclidean algorithm
  • FLS r-circulant matrix
  • Inverse; group inverse
  • Polynomial ring

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