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Preconditioned BiCGSTAB and BiCRSTAB methods for solving the Sylvester tensor equation

Qi-Xing Chen, Guang-Xin Huang and Ming-Yue Zhang

Applied Mathematics and Computation, 2024, vol. 466, issue C

Abstract: This paper presents a biconjugate gradient stabilized (BiCGSTAB) method and a biconjugate residual stabilized (BiCRSTAB) method for solving the Sylvester tensor equation, respectively. Preconditioned BiCGSTAB and BiCRSTAB algorithms are also developed to solve the Sylvester tensor equation. The convergence of each proposed iterative algorithm is proved. Several numerical examples are shown to illustrate the effectiveness of the proposed methods.

Keywords: BiCGSTAB; BiCRSTAB; Sylvester tensor equation; Preconditioned (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:466:y:2024:i:c:s0096300323006380

DOI: 10.1016/j.amc.2023.128469

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