Year: 2017
East Asian Journal on Applied Mathematics, Vol. 7 (2017), Iss. 1 : pp. 38–54
Abstract
In this paper, we consider two innovative structured matrices, CUPL-Toeplitz matrix and CUPL-Hankel matrix. The inverses of CUPL-Toeplitz and CUPL-Hankel matrices can be expressed by the Gohberg-Heinig type formulas, and the stability of the inverse matrices is verified in terms of 1-, $\infty$- and 2-norms, respectively. In addition, two algorithms for the inverses of CUPL-Toeplitz and CUPL-Hankel matrices are given and examples are provided to verify the feasibility of these algorithms.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.070816.191016a
East Asian Journal on Applied Mathematics, Vol. 7 (2017), Iss. 1 : pp. 38–54
Published online: 2017-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: CUPL-Toeplitz matrix CUPL-Hankel matrix inverse stability algorithm.
-
Fast algorithms for the solution of perturbed symmetric Toeplitz linear system and its applications
Zhang, Xing | Zheng, Yanpeng | Jiang, ZhaolinComputational and Applied Mathematics, Vol. 43 (2024), Iss. 4
https://doi.org/10.1007/s40314-024-02773-9 [Citations: 1] -
Fast algorithms for finding the solution of CUPL-Toeplitz linear system from Markov chain
Fu, Yaru | Jiang, Xiaoyu | Jiang, Zhaolin | Jhang, SeongtaeApplied Mathematics and Computation, Vol. 396 (2021), Iss. P.125859
https://doi.org/10.1016/j.amc.2020.125859 [Citations: 7] -
A Study of Determinants and Inverses for Periodic Tridiagonal Toeplitz Matrices with Perturbed Corners Involving Mersenne Numbers
Wei, Yunlan | Zheng, Yanpeng | Jiang, Zhaolin | Shon, SugoogMathematics, Vol. 7 (2019), Iss. 10 P.893
https://doi.org/10.3390/math7100893 [Citations: 8] -
INVERSES AND EIGENPAIRS OF TRIDIAGONAL TOEPLITZ MATRIX WITH OPPOSITE-BORDERED ROWS
Fu, Yaru | Jiang, Xiaoyu | Jiang, Zhaolin | Jhang, SeongtaeJournal of Applied Analysis & Computation, Vol. 10 (2020), Iss. 4 P.1599
https://doi.org/10.11948/20190287 [Citations: 5] -
Numerical algorithms for corner-modified symmetric Toeplitz linear system with applications to image encryption and decryption
Zhang, Xing | Zheng, Yanpeng | Jiang, Zhaolin | Byun, HeejungJournal of Applied Mathematics and Computing, Vol. 69 (2023), Iss. 2 P.1967
https://doi.org/10.1007/s12190-022-01819-7 [Citations: 5] -
ON INVERSES AND EIGENPAIRS OF PERIODIC TRIDIAGONAL TOEPLITZ MATRICES WITH PERTURBED CORNERS
Wei, Yunlan | Jiang, Xiaoyu | Jiang, Zhaolin | Shon, SugoogJournal of Applied Analysis & Computation, Vol. 10 (2020), Iss. 1 P.178
https://doi.org/10.11948/20190105 [Citations: 4] -
Cyclic displacements and decompositions of inverse matrices for CUPL Toeplitz matrices
Zheng, Yanpeng | Shon, Sugoog | Kim, JangyoungJournal of Mathematical Analysis and Applications, Vol. 455 (2017), Iss. 1 P.727
https://doi.org/10.1016/j.jmaa.2017.06.016 [Citations: 13] -
EFFICIENT ALGORITHMS FOR REAL SYMMETRIC TOEPLITZ LINEAR SYSTEM WITH LOW-RANK PERTURBATIONS AND ITS APPLICATIONS
Zhang, Xing | Zheng, Yanpeng | Jiang, Zhaolin | Byun, HeejungJournal of Applied Analysis & Computation, Vol. 14 (2024), Iss. 1 P.106
https://doi.org/10.11948/20230073 [Citations: 2] -
An improvement of methods for solving the CUPL-Toeplitz linear system
Zhang, Xing | Jiang, Xiaoyu | Jiang, Zhaolin | Byun, HeejungApplied Mathematics and Computation, Vol. 421 (2022), Iss. P.126932
https://doi.org/10.1016/j.amc.2022.126932 [Citations: 4] -
Explicit determinants, inverses and eigenvalues of four band Toeplitz matrices with perturbed rows
Zhang, Maoyun | Jiang, Xiaoyu | Jiang, ZhaolinSpecial Matrices, Vol. 7 (2019), Iss. 1 P.52
https://doi.org/10.1515/spma-2019-0004 [Citations: 2] -
Determinants and inverses of perturbed periodic tridiagonal Toeplitz matrices
Wei, Yunlan | Jiang, Xiaoyu | Jiang, Zhaolin | Shon, SugoogAdvances in Difference Equations, Vol. 2019 (2019), Iss. 1
https://doi.org/10.1186/s13662-019-2335-6 [Citations: 8] -
Algorithms for solving a class of real quasi-symmetric Toeplitz linear systems and its applications
Zhang, Xing | Jiang, Xiaoyu | Jiang, Zhaolin | Byun, HeejungElectronic Research Archive, Vol. 31 (2023), Iss. 4 P.1966
https://doi.org/10.3934/era.2023101 [Citations: 1] -
New algorithm for solving pentadiagonal CUPL-Toeplitz linear systems
Fahd, Hcini | Zhang, YulinComputational and Applied Mathematics, Vol. 42 (2023), Iss. 3
https://doi.org/10.1007/s40314-023-02253-6 [Citations: 0]