Toeplitz矩阵线性互补问题的模循环和斜循环分裂迭代方法

ETNA - Electronic Transactions on Numerical Analysis Pub Date : 1900-01-01 DOI:10.1553/etna_vol55s391

Min-yen Wu, Chenliang Li

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引用次数: 1

摘要

通过将涉及正定Toeplitz矩阵的线性互补问题转化为等价不动点系统，构造了基于模的循环和偏循环分裂(MCSCS)迭代方法。本文还分析了该方法的收敛性，并给出了一些数值结果，证明了该方法的有效性。

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Modulus-based circulant and skew-circulant splitting iteration method for the linear complementarity problem with a Toeplitz matrix

By reformulating the linear complementarity problem involving a positive definite Toeplitz matrix as an equivalent fixed-point system, we construct a modulus-based circulant and skew-circulant splitting (MCSCS) iteration method. We also analyze the convergence of the method and show that the new method is effective by providing some numerical results.

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ETNA - Electronic Transactions on Numerical Analysis

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