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The Discriminance for <i>FLDcirc<sub>r</sub></i>Matrices and the Fast Algorithm of Their Inverse and Generalized Inverse

The Discriminance for <i>FLDcirc<sub>r</sub></i>Matrices and the Fast Algorithm of Their Inverse and Generalized Inverse
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摘要 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. 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.
作者 Xue Pan Mei Qin
机构地区 College of Science
出处 《Advances in Linear Algebra & Matrix Theory》 2015年第2期54-61,共8页 线性代数与矩阵理论研究进展(英文)
关键词 FLDcircr Matrix Discriminance DIAGONALIZATION INVERSE Generalized INVERSE FLDcircr Matrix Discriminance Diagonalization Inverse Generalized Inverse
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  • 1David Chillag. Regular representations of semisimple algebras. separable field extensions, group characters,generalized circulants, and generalized cyclic codes[J], Linear Algebra Appl, 1995,218:147-183.
  • 2Williamm W. Adams and Philippe Loustaunau. An introduction to Gr(o)bner bases[J]. American Mathematical Society, 1994,3 : 74-85.
  • 3Donald Greenspan. Methods of matrix inversion[J]. Amer. Math. Monthly, 1955,62:303-308.
  • 4Huanglin. Linear Algebra in Systems and Control Theory[M]. Beijing: Science Publishing Company,1984. 62-63.

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