In particular, Newton-type methods are introduced to generate sequences approximating simple solutions of nonlinear equations in the setting of Banach spaces. Specializations of these methods include the modified Newton method, Newton's method, and other single-step methods. The conve...
Proof. In this neighborhood of , the exact proximal Newton-type method accepts step length one. Let denote the iterates and search directions generated by an exact proximal Newton-type method. By assumption, the iteration converges if is within this neighborhood. Therefore, the sequence of exact...
An improved Newton iteration method and its fractal images; 一种改进的牛顿迭代法及其分形图 2. To improve the accuracy of computation,a Newton iteration procedure was introduced in the recursive approach to compute each facet position. 通过一组约束方程表示光栅刻槽位置,利用递推方法求得约束方程的...
When the feasible set is the whole space, the standard regularized Newton method is a particular case in our framework. We show, under standard assumptions, that every accumulation point of the sequence of iterates satisfies a first order necessary optimality condition for the problem and solves ...
Newton methodquasi-Newton methodQ-super linear convergenceJosephy's Newton and quasi-Newton methods are the basic methods for solving variational inequalities (VI). The subproblem needed to solve is a linear variational inequality problem with the same constraint to the original problem. In this ...
1) Newton type method Newton型方法2) Newton-Raphson method Newton-Raphson方法 1. The presented nonlinear equations were analyzed by Newton-Raphson method. 为了准确地计算悬索桥主缆的成桥线形和无应力索长,采用悬链线单元建立了确定悬索桥主缆线形和无应力索长的计算公式;对计算悬索桥主缆线形的非...
a newton-type iterative method -回复 题:一种新的牛顿迭代法 引言: 数值计算方法是现代科学和工程学科中的重要内容之一。其中牛顿迭代法是解非线性方程和优化问题中的一种重要数值计算方法。本文介绍一种新的牛顿迭代法,并分析其特点和应用。 一、牛顿迭代法的基本原理 牛顿迭代法是一种利用线性近似不断逼近非...
Newton-Type Optimal Feedback ControlOrdinary Differential EquationsReal-Time OptimizationSummary: An efficient numerical method for the real-time solution of optimal control problems in optimal feedback control is presented, which is based on the direct multiple shooting method, arid the contractivity of...
We consider projected Newton-type methods for solving large-scale optimization problems arising in machine learning and related fields. We first introduce an algorithmic framework for projected Newton-type methods by reviewing a canonical projected (quasi-)Newton method. This method, while conceptually pl...
On the DSM Newton-type method 来自 Semantic Scholar 喜欢 0 阅读量: 18 作者: AG Ramm 摘要: A wide class of the operator equations F(u)=h in a Hilbert space is studied. Convergence of a Dynamical Systems Method (DSM), based on the continuous analog of the Newton method, is proved ...