求解对称非线性方程组的最速下降-DY混合共轭梯度法

冬梅 沈

摘要


针对对称非线性方程组的求解问题,论文提出了一种具有下降性质的最速下降 -DY 混合无导数型共轭梯度法,并在较弱的条件下,证明了算法的全局收敛性。最后,通过数值实验证明了该算法的有效性。

关键词


对称非线性方程组;无导数算法;全局收敛性;混合共轭梯度法

全文:

PDF

参考


Li D H, Wang X L. A modefied Fletcher-Reeves-type derivativefree method for symmetric nonlinear equations[J]. Numer. Alge. Cont. Optim,2011(1):71-82.

李灿.求解对称非线性方程组的MPRP型Derivative-free算法[J].西南大学学报:自然科学版,2014,36(1):67-71.

Zhou W J, Shen D M. An inexact PRP conjugate gradient method for symmetric nonlinear equations[J]. Numerical Functional Analysis and Optimization,2014(35):370-388.

SABI’U J, MUANGCHOO K, SHAH A, et al. A Modified PRP-CG Type Derivative-Free Algorithm with Optimal Choices for Solving Large-Scale Nonlinear Symmetric Equations[J]. Symmetry,2021(13):234.

Zhang L, Zhou W J, Li D H. Global convergence of the DY conjugate gradient method with Armijo line search for unconstrained optimization problems[J]. Optimization Methods and Software,2007(22):511-517+3.

Li D H, Fukushima M. A globally and superlinearly convergent Gauss-Newton-based BFGS method for symmetric nonlinear equations[J]. SIAM Journal on Numerical Analysis,1999,37(1):152-172.

沈冬梅.求解对称非线性方程组PRP型算法研究[D].长沙:长沙理工大学,2014.




DOI: https://doi.org/10.12346/sde.v4i3.6060

Refbacks

  • 当前没有refback。