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.