In this paper we present an algorithm for solving quasi-pentadiagonal Toeplitz linear systems, that is based on Du et al. method (Du et al., 2014) and the Sherman–Morrison–Woodbury inversion formula. All algorithms have been implemented in Matlab and numerical experiments are given in order to illustrate the validity and efficiency of our algorithm. An application of the proposed algorithm to the Lax–Wendroff scheme is also considered.

中文翻译：

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拟五角对角Toeplitz线性系统的快速求解方法及其在Lax-Wendroff方案中的应用

在本文中，我们基于Du等人提出了一种求解拟五对角Toeplitz线性系统的算法。方法（Du等人，2014年）和Sherman-Morrison-Woodbury反演公式。所有算法均已在Matlab中实现，并进行了数值实验，以说明该算法的有效性和效率。还考虑了该算法在Lax-Wendroff方案中的应用。