2017•East Asian Journal on Applied MathematicsRequires access

The Explicit Inverses of CUPL-Toeplitz and CUPL-Hankel Matrices

Zhaolin Jiang, Xiao-Ting Chen, Jianmin Wang

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-, ∞- 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.

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Key concepts: Toeplitz matrix, Hankel matrix, Mathematics, Inverse, Levinson recursion, Matrix (chemical analysis), Algebra over a field, Pure mathematics