Article citationsMore>>

Jiang, Z.-J. and Xu, Z.-B. (2005) Efficient Algorithm for Finding the Inverse and the Group Inverse of FLSr-Circulant Matrix. Journal of Applied Mathematics and Computing, 18, 45-57.
http://dx.doi.org/10.1007/BF02936555

has been cited by the following article:

• TITLE: The Discriminance for FLDcircr Matrices and the Fast Algorithm of Their Inverse and Generalized Inverse

  AUTHORS: Xue Pan, Mei Qin

  KEYWORDS: FLDcircr Matrix, Discriminance, Diagonalization, Inverse, Generalized Inverse

  JOURNAL NAME: Advances in Linear Algebra & Matrix Theory, Vol.5 No.2, June 29, 2015

  ABSTRACT: This paper presents a new type of circulant matrices. We call it the first and the last difference r-circulant matrix (FLDcircr matrix). We can verify that the linear operation, the matrix product and the inverse matrix of this type of matrices are still FLDcircr matrices. By constructing the basic FLDcircr matrix, we give the discriminance for FLDcircr matrices and the fast algorithm of the inverse and generalized inverse of the FLDcircr matrices.