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A Rank-One Fitting Method with Descent Direction for Solving Symmetric Nonlinear Equations

机译:求解对称非线性方程组的具有下降方向的秩一拟合方法

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摘要

In this paper, a rank-one updated method for solving symmetric nonlinear equations is proposed. This method possesses some features: 1) The updated matrix is positive definite whatever line search technique is used; 2) The search direction is descent for the norm function; 3) The global convergence of the given method is established under reasonable conditions. Numerical results show that the presented method is interesting.
机译:本文提出了一种求解对称非线性方程组的秩更新算法。该方法具有以下特点:1)无论采用何种线搜索技术,更新后的矩阵都是正定的。 2)范数函数的搜索方向下降; 3)在合理的条件下建立了给定方法的全局收敛性。数值结果表明,该方法是有趣的。

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