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Volume 7, Issue 1
The Explicit Inverses of CUPL-Toeplitz and CUPL-Hankel Matrices

Zhao-Lin Jiang, Xiao-Ting Chen & Jian-Min Wang

DOI: 10.4208/eajam.070816.191016a

East Asian J. Appl. Math., 7 (2017), pp. 38-54.

Published online: 2018-02

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  • 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.

  • Keywords

CUPL-Toeplitz matrix, CUPL-Hankel matrix, inverse, stability, algorithm.

  • AMS Subject Headings

15A09, 15B05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-7-38, author = {}, title = {The Explicit Inverses of CUPL-Toeplitz and CUPL-Hankel Matrices}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {7}, number = {1}, pages = {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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.070816.191016a}, url = {http://global-sci.org/intro/article_detail/eajam/10733.html} }
TY - JOUR T1 - The Explicit Inverses of CUPL-Toeplitz and CUPL-Hankel Matrices JO - East Asian Journal on Applied Mathematics VL - 1 SP - 38 EP - 54 PY - 2018 DA - 2018/02 SN - 7 DO - http://doi.org/10.4208/eajam.070816.191016a UR - https://global-sci.org/intro/article_detail/eajam/10733.html KW - CUPL-Toeplitz matrix, CUPL-Hankel matrix, inverse, stability, algorithm. AB -

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.

Zhao-Lin Jiang, Xiao-Ting Chen & Jian-Min Wang. (2020). The Explicit Inverses of CUPL-Toeplitz and CUPL-Hankel Matrices. East Asian Journal on Applied Mathematics. 7 (1). 38-54. doi:10.4208/eajam.070816.191016a
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