【摘 要】
：
首先基于共轭梯度法的共轭条件和下降性,提出了一类充分下降的谱共轭梯度法.该方法将经典共轭梯度法中搜索方向由原来的只满足一个共轭条件改变为同时满足一个共轭条件和一个
【机 构】
：
南京航空航天大学理学院,泰州机电高等职业技术学校自动化系,蚌埠学院数理系
论文部分内容阅读
首先基于共轭梯度法的共轭条件和下降性,提出了一类充分下降的谱共轭梯度法.该方法将经典共轭梯度法中搜索方向由原来的只满足一个共轭条件改变为同时满足一个共轭条件和一个下降条件；然后,在Wolfe线搜索下用反证法证明了新算法的全局收敛性；最后,通过12个算例,将新算法和已有SHS算法在迭代次数和计算时间方面进行了数值比较实验,比较结果表明新算法在这两个方面都明显优越于SHS算法.算法的全局收敛性和数值结果的优越性表明,新算法是一个值得研究的方法.
其他文献
藻油富含对人体非常重要的多不饱和脂肪酸DHA(二十二碳六烯酸),但其极易被光、热和氧等因素诱使发生氧化反应.防止氧化反应发生,制备成稳定的油/水乳化液将其包埋成为其在食
研究了非线性地基上矩形薄板的分岔与混沌运动.运用Hamiltion能量变分原理,建立了非线性弹性地基上四边自由矩形薄板的非线性振动方程.应用分离变量法和Galerkin法对方程进行
By using cone expansion-compression theorem in this paper, we study boundary value problems for a coupled system of nonlinear third-order differential equation.
利用基于非结构网格的有限体积法分别建立了二维和三维水动力模型.在实际工程应用中,二维模型一般用于模拟浅水自由表面流动,而三维模型在水流参数垂向结构变化较大时适用性
For a class of elliptic Hessian operators, one type of corresponding parabolic Hessian equations is studied on Riemannian manifolds. The existence and uniquenes
In this paper, we prove a generalization of Hyers’ theorem on the sta-bility of approximately additive mapping and a generalization of Badora’s theorem on app
In this paper, a new kind of iteration technique for solving nonlinear ordinary differential equations is described and used to give approximate periodic soluti
In this paper, we study regular simpleω2-semigroups in which D|ES =Wd by the generalized Bruck-Reilly extension and obtain its structure theorem.
In this paper, we improve the algorithm and rewrite the function make-Pairing for computing a Gorni-Zampieri pair of a homogeneous polynomial map. As an applica
Let X denote a finite or infinite dimensional Lie algebra of Cartan type W, S, H or K over a field of characteristic p≥3. In this paper it is proved that certa