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

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Listed:
  • Zhang, Xing
  • Jiang, Xiaoyu
  • Jiang, Zhaolin
  • Byun, Heejung

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.

Suggested Citation

  • Zhang, Xing & Jiang, Xiaoyu & Jiang, Zhaolin & Byun, Heejung, 2022. "An improvement of methods for solving the CUPL-Toeplitz linear system," Applied Mathematics and Computation, Elsevier, vol. 421(C).
    • Handle: RePEc:eee:apmaco:v:421:y:2022:i:c:s0096300322000182
    DOI: 10.1016/j.amc.2022.126932
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    References listed on IDEAS

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    1. Fu, Yaru & Jiang, Xiaoyu & Jiang, Zhaolin & Jhang, Seongtae, 2021. "Fast algorithms for finding the solution of CUPL-Toeplitz linear system from Markov chain," Applied Mathematics and Computation, Elsevier, vol. 396(C).
    2. Jiang, Xiaoyu & Hong, Kicheon, 2017. "Skew cyclic displacements and inversions of two innovative patterned Matrices," Applied Mathematics and Computation, Elsevier, vol. 308(C), pages 174-184.
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    1. Fu, Yaru & Jiang, Xiaoyu & Jiang, Zhaolin & Jhang, Seongtae, 2021. "Fast algorithms for finding the solution of CUPL-Toeplitz linear system from Markov chain," Applied Mathematics and Computation, Elsevier, vol. 396(C).
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