EFFICIENT ALGORITHM FOR FINDING THE INVERSE AND THE GROUP INVERSE OF FLS $\gamma-CIRCULANT$ MATRIX

  • JIANG ZHAO-LIN (School of Science, Xi'an Jiaotong University, College of Mathematics, Qufu Normal University, Department of Mathematics, Linyi Teachers College) ;
  • XU ZONG-BEN (School of Science, Xi'an Jiaotong University)
  • Published : 2005.03.01

Abstract

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

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