%0 Journal Article %T 一类修正的FR型谱共轭梯度法<br>A Modified FR Spectral Conjugate Gradient Method %A 王森森 %A 张俊容 %A 韩信< %A br> %A WANG Sen-sen %A ZHANG Jun-rong %A HAN Xin %J 西南大学学报(自然科学版) %D 2018 %R 10.13718/j.cnki.xdzk.2018.02.009 %X 提出了一类WFR型谱共轭梯度法,并且该算法在任何线搜索下都具有充分下降性.在标准Wolfe线搜索下,证明了新算法具有全局收敛性.数值实验结果表明新算法优于VFR法.<br>In this paper, a spectral conjugate gradient WFR method is put forward, which always possesses the sufficient descent property with any line search. It is proved under the standard Wolfe line search that the new spectral conjugate gradient method possesses global convergence. A series of numerical tests indicate that the new algorithm is superior to the VFR method %K 无约束优化 %K 谱共轭梯度法 %K 全局收敛 %K Wolfe线搜素< %K br> %K unconstrained optimization %K spectral conjugate gradient method %K global convergence %K Wolfe line search %U http://xbgjxt.swu.edu.cn/jsuns/html/jsuns/2018/2/201802009.htm