An improvement of methods for solving the CUPL-Toeplitz linear system

Xing Zhang, Xiaoyu Jiang, Zhaolin Jiang and Heejung Byun

Applied Mathematics and Computation, 2022, vol. 421, issue C

Abstract: In this paper, matrix order-reduction algorithms are realized to solve the CUPL-Toeplitz linear system. Firstly, we describe order-reduction algorithms for the multiplication of real skew-circulant matrix or complex circulant matrix and vector. Secondly, based on the two fast approaches [1] through splitting the CUPL-Toeplitz matrix into a Toeplitz matrix subtract a low-rank matrix, we propose new fast Toeplitz solvers to reduce the amount of calculation. Finally, numerical experiments are given to show the performance of the proposed algorithms.

Keywords: CUPL-Toeplitz Matrix; Fast Toeplitz solver; Skew circulant matrix; Imaginary circulant matrix; Matrix order-reduction (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:421:y:2022:i:c:s0096300322000182

DOI: 10.1016/j.amc.2022.126932

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