求解f(x)=0还是很有用的,具体应用此不做讨论。这里将使用一系列专题阐述求解f(x)=0的各种方法。此次先讨论固定点迭代法(Fixed Point Iteration)。 下面先直接给出解法,后面再对原理进行阐述。 【问题描述】 已知f(x)=0,求使等式成立的x的值。 【解法如下】 将f(x)=0转换为同解方程g(x)=x。 任取初值x
2) fixed-point iteration 固定点迭代 1. Newton iteration method for nonlinear equations in two unknowns has also been expressed as a basic iteration form with simplified ideological structure and convenient form which is called fixed-point iteration. 并将二元非线性方程组的牛顿法表示成了结构形式...
The problem of convergence of the fixed point iterative method has been studied in this article. The main object of this article is to improve the convergence so that the number of iterations is reduced to just few iterations. A technique is presented to increase the order of convergence as ...
Based on the fixed point equation, projected fixed point iterative methods are proposed and corresponding convergence proofs on the fixed point iterative methods for the tensor complementarity problem associated with a power Lipschitz tensor are investigated. Furthermore, the monotone convergence analysis ...
an iterative approximation of the fixed point of a Lipschitzian strictly pseudo- contractive mapping in L (2 < p < oo) space is developed. The object of the present note is to consider the local version of the problem and to extend ...
Wang X, Wei P, Wei Y (2023) A fixed point iterative method for third-order tensor linear complementarity problems. J Optim Theory Appl 197(1):334–357 Article MathSciNet Google Scholar Xie S, Yang ZP, Xu H (2023) A modulus-based matrix splitting method for the vertical nonlinear compl...
Finding root using Fixed point method.Continue the iteration until two successive approximations are identical. starting value X0=1 Cos(x)-3x+1=0 Hi, Can someone help me with this problem? 댓글 수: 0 댓글을 달려면 로그인하십시오. ...
Fixed point iterative method In this section, we will discuss and describe the method that we will apply to obtain numerical solutions for a class of third order linear and nonlinear boundary value problems. First, consider the general linear third order equation L[u]≡p(t)u′′′(t)+q(t...
1) fixed point method 不动点算法 1. A mixed iterative method for 3-D frictional contact problems is proposed based on a combination of the iterative method and thefixed point method. 利用迭代法与不动点算法相结合给出了三维摩擦接触问题的一种混合迭代算法 ,克服了三维问题在接触面上因有无穷多个...
it provides a method (generally, iterative) for constructing the fixed point(s); (b) it is able to provide information on the error estimate or / and rate of convergence of the iterative process used to approximate the fixed point; and (c) it can give concrete information on the stability...