论文标题
非线性方程系统的HS和PRP方法的多元光谱杂交
A multivariate spectral hybridization of HS and PRP method for nonlinear systems of equations
论文作者
论文摘要
我们提出了Hestenes-Stiefel（HS）和Polak-Ribiere-Polyak（PRP）方法的多元光谱杂交，用于求解大型非线性方程式。该方法的搜索方向是通过将多元光谱方法与Hestenes-Stiefel和Polak-ribiere-Polyak参数（HS＆PRP Hybrid+）的阳性杂交合并到阳性杂交中获得的。通过采用无衍生化的非单调线搜索技术，该方法生成的序列的全局收敛已得到证明。与旨在求解大规模非线性方程式的文献中的类似方法相比，给出了数值实验以证明该方法的良好性能。
We present a multivariate spectral hybridization of Hestenes-Stiefel (HS) and Polak-Ribiere-Polyak (PRP) method for solving large-scale nonlinear systems of equations. The search direction of the method is obtained by incorporating a multivariate spectral approach with the positive hybridization of Hestenes-Stiefel and Polak-Ribiere-Polyak parameters (HS & PRP hybrid+). By employing a derivative-free nonmonotone line search technique, the global convergence of the sequence generated by the method is proven. Numerical experiments are given to demonstrate the good performance of the method compared with similar methods in the literature designed for solving large-scale nonlinear systems of equations.
