用两种新的广义高斯-赛德尔迭代法求解绝对值方程

IF 0.9 Q3 MATHEMATICS, APPLIED Computational and Mathematical Methods Pub Date : 2022-05-06 DOI:10.1155/2022/4266576

Rashid Ali

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引用次数: 0

摘要

本文给出了求解绝对值方程A x−∣x∣= b的两种新的广义高斯-塞德尔(NGGS)迭代方法。其中A∈rn × n，b∈rn，和x∈rn为未知解向量。在温和的假设条件下，得到了收敛结果。最后，数值结果证明了我们方法的可信性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Solution of Absolute Value Equations Using Two New Generalized Gauss-Seidel Iteration Methods

In this paper, we provide two new generalized Gauss-Seidel (NGGS) iteration methods for solving absolute value equations Ax − ∣x | = b, where A ∈ R^n×n, b ∈ Rⁿ, and x ∈ Rⁿ are unknown solution vectors. Also, convergence results are established under mild assumptions. Eventually, numerical results prove the credibility of our approaches.

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来源期刊

Computational and Mathematical Methods

CiteScore

2.20

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0.00%

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