Gohberg-Semencul type formula and application for the inverse of a conjugate-Toeplitz matrix involving imaginary circulant matrices
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Authors
Xiaoyu Jiang
- Dept. of Information and Telecommunications Engineering, The University of Suwon, Wau-ri, Bongdam-eup, Hwaseong-si, Gyeonggi-do, 445-743, Korea.
Kicheon Hong
- Dept. of Information and Telecommunications Engineering, The University of Suwon, Wau-ri, Bongdam-eup, Hwaseong-si, Gyeonggi-do, 445-743, Korea.
Abstract
Gohberg-Semencul type inverse formula of conjugate-Toeplitz (CT) is obtained by constructing a kind of imaginary cyclic
displacement transform. The stability of decomposition formula of inverse is investigated, and its algorithm is also given.
Numerical example is provided to verify the feasibility of the inverse formula. How the analogue of our formula leads to a more
efficient way to solve the conjugate-Toeplitz linear system of equations is proposed. The corresponding inverse, stability, and
algorithm of conjugate-Hankel (CH) matrix are also considered.
Share and Cite
ISRP Style
Xiaoyu Jiang, Kicheon Hong, Gohberg-Semencul type formula and application for the inverse of a conjugate-Toeplitz matrix involving imaginary circulant matrices, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 5, 2848--2859
AMA Style
Jiang Xiaoyu, Hong Kicheon, Gohberg-Semencul type formula and application for the inverse of a conjugate-Toeplitz matrix involving imaginary circulant matrices. J. Nonlinear Sci. Appl. (2017); 10(5):2848--2859
Chicago/Turabian Style
Jiang, Xiaoyu, Hong, Kicheon. "Gohberg-Semencul type formula and application for the inverse of a conjugate-Toeplitz matrix involving imaginary circulant matrices." Journal of Nonlinear Sciences and Applications, 10, no. 5 (2017): 2848--2859
Keywords
- Conjugate-Toeplitz matrix
- conjugate-Hankel matrix
- stability
- imaginary cyclic displacement
- fast Fourier transform.
MSC
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