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.