Geodesic
Skew cyclic displacements and decompositions of inverse matrix for an innovative structure matrix
Jiang, Xiaoyu1 ; Hong, Kicheon1 ; Fu, Zunwei2
1 Department of Information and Telecommunications Engineering, The University of Suwon, Wau-ri, Bongdam-eup, Hwaseong-si, Gyeonggi-do, 445-743, Korea
2 Department of Mathematics, The University of Suwon, Wau-ri, Bongdam-eup, Hwaseong-si, Gyeonggi-do, 445-743, Korea
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 8, p. 4058-4070.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.010.08.02
Classification : 15A09, 15B05
Keywords: CUML Toeplitz matrix, CUML Hankel matrix, skew cyclic displacement, RSFPLR circulants, RFMLR circulants, decomposition, inverse.

Jiang, Xiaoyu 1 ; Hong, Kicheon 1 ; Fu, Zunwei 2

1 Department of Information and Telecommunications Engineering, The University of Suwon, Wau-ri, Bongdam-eup, Hwaseong-si, Gyeonggi-do, 445-743, Korea
2 Department of Mathematics, The University of Suwon, Wau-ri, Bongdam-eup, Hwaseong-si, Gyeonggi-do, 445-743, Korea 
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Jiang, Xiaoyu; Hong, Kicheon; Fu, Zunwei. Skew cyclic displacements  and decompositions of inverse matrix for an innovative structure matrix. Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 8, p. 4058-4070. doi : 10.22436/jnsa.010.08.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.08.02/

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