TY - JOUR
T1 - The Explicit Inverses of CUPL-Toeplitz and CUPL-Hankel Matrices
AU - Zhao-Lin Jiang, Xiao-Ting Chen & Jian-Min Wang
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 - <p style="text-align: justify;">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.</p>