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非线性单调方程组的投影法的收敛率再分析

Further Analysis of Convergence Rate of Projection Method for Nonlinear Monotone Equations

  • 摘要: 在强单调的条件下,进一步分析了一类非线性方程组的无导数投影法的收敛率问题,证明了迭代序列至少是线性收敛的.同时,还给出了求解此类方程组的无导数投影法的更一般算法模型框架及其收敛性特性.

     

    Abstract: In the report, under the strong monotone condition, the convergence rate of the derivative-free projection method for a class of nonlinear monotone equations was discussed, and the conclusion that the iterative sequence was at least linear convergence. At same time, a more general algorithm model framework for solving nonlinear monotone equations and its convergence property were proposed.

     

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