论文标题
评论“具有分数阶梯度方向的梯度方法的概括”
Comments on "Generalization of the gradient method with fractional order gradient direction"
论文作者
论文摘要
在本文中，在论文\ textit {[[使用分数订单梯度方向的梯度方法的概括中，J. Franklin Inst。，357（2020）2514-2532]}中提出的证明{textit {textIt {[概述）中指出了一个有害的数学错误。有人强调的是，作者证明真实有价值函数与其整数秩序极端点的分数极端点的收敛方式缺乏正确且有效的数学参数。本文中包含的其余定理主要宣布，而没有任何证明定理1的证据。
In this paper, a detrimental mathematical mistake is pointed out in the proof of \textit{Theorem 1} presented in the paper\textit{ [Generalization of the gradient method with fractional order gradient direction, J. Franklin Inst., 357 (2020) 2514-2532]}. It is highlighted that the way the authors prove the convergence of the fractional extreme points of a real valued function to its integer order extreme points lacks correct and valid mathematical argument. Rest of the theorems contained in the paper are mostly announced without any proof relaying on that of Theorem 1.
