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Thispaper presents a new type of circulant matrices. We call it the first and thelast difference r-circulant matrix FLDcircr matrix. We canverify that the linear operation, the matrix product and the inverse matrix ofthis 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.

KEYWORDS

FLDcircr Matrix, Discriminance, Diagonalization, Inverse, Generalized Inverse

Cite this paper

Pan, X. and Qin, M. 2015 The Discriminance for FLDcircr Matrices and the Fast Algorithm of Their Inverse and Generalized Inverse. Advances in Linear Algebra & Matrix Theory, 5, 54-61. doi: 10.4236-alamt.2015.52006.





Author: Xue Pan*, Mei Qin

Source: http://www.scirp.org/



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