Skew cyclic displacements and decompositions of inverse matrix for an innovative structure matrix
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Authors
Xiaoyu Jiang
- Department of Information and Telecommunications Engineering, The University of Suwon, Wau-ri, Bongdam-eup, Hwaseong-si, Gyeonggi-do, 445-743, Korea.
Kicheon Hong
- Department of Information and Telecommunications Engineering, The University of Suwon, Wau-ri, Bongdam-eup, Hwaseong-si, Gyeonggi-do, 445-743, Korea.
Zunwei Fu
- Department of Mathematics, The University of Suwon, Wau-ri, Bongdam-eup, Hwaseong-si, Gyeonggi-do, 445-743, Korea.
Abstract
In this paper, we study mainly on a class of column upper-minus-lower (CUML) Toeplitz matrices without standard Toeplitz structure, which are `` similar'' to the Toeplitz matrices. Their (-1,-1)-cyclic displacements coincide with cyclic displacement of some standard Toeplitz matrices. We obtain the formula on representation for the inverses of CUML Toeplitz matrices in the form of sums of products of (-1, 1)-circulants and (1, -1)-circulants factor by constructing the corresponding displacement of the matrices. In addition, based on the relation between CUML Toeplitz matrices and CUML Hankel matrices, the inverse formula of CUML Hankel matrices can also be obtained.
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ISRP Style
Xiaoyu Jiang, Kicheon Hong, Zunwei Fu, Skew cyclic displacements and decompositions of inverse matrix for an innovative structure matrix, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 8, 4058--4070
AMA Style
Jiang Xiaoyu, Hong Kicheon, Fu Zunwei, Skew cyclic displacements and decompositions of inverse matrix for an innovative structure matrix. J. Nonlinear Sci. Appl. (2017); 10(8):4058--4070
Chicago/Turabian Style
Jiang, Xiaoyu, Hong, Kicheon, Fu, Zunwei. "Skew cyclic displacements and decompositions of inverse matrix for an innovative structure matrix." Journal of Nonlinear Sciences and Applications, 10, no. 8 (2017): 4058--4070
Keywords
- CUML Toeplitz matrix
- CUML Hankel matrix
- skew cyclic displacement
- RSFPLR circulants
- RFMLR circulants
- decomposition
- inverse.
MSC
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