반복법
노트
- In Section 2, we describe different techniques for designing iterative methods for nonlinear systems.[1]
- As we have previously mentioned, most of the iterative methods for nonlinear equations are not directly extendable to systems.[1]
- Let y(k) and z(k) be the penultimate and last steps of orders q and p, respectively, of a certain iterative method.[1]
- The use of these dynamical tools is very frequent on scalar iterative methods; see, for example, Refs.[1]
- Explanation: In an iterative method, the amount of computation depends on the degree of accuracy required.[2]
- This book deals primarily with the numerical solution of linear systems of equations by iterative methods.[3]
- In this book we will cover two types of iterative methods.[4]
- Iterative method that performs in each iteration the same operations on the current iteration vectors.[4]
- Hence, iterative methods usually involve a second matrix that transforms the coefficient matrix into one with a more favorable spectrum.[4]
- However, it has no advantage over the successive overrelaxation method as a stand-alone iterative method.[5]
- An iterative method is a powerful device of solving and finding the roots of the non linear equations.[6]
- In order to actually compute these roots, we discuss here three main iterative methods.[7]
- Formulations to overcome the divergence of iterative method of fixed-point in nonlinear equations solution.[8]
- In this section, an efficient iterative method is improved to solve the fractional BVP (6), (7).[9]
- Section 5 provides an error estimation for our iterative method.[10]
- A specific implementation of an iterative method, including the termination criteria, is an algorithm of the iterative method.[11]
- An iterative method is called convergent if the corresponding sequence converges for given initial approximations.[11]
- The theory of stationary iterative methods was solidly established with the work of D.M. Young starting in the 1950s.[11]
- Bi W, Ren H, Wu Q (2009) Three-step iterative methods with eighth-order convergence for solving nonlinear equations.[12]
- Increasing the convergence order of an iterative method for nonlinear systems.[12]
- New iterative method for solving non-linear equations with fourth-order convergence.[12]
- On derivative free cubic convergence iterative methods for solving nonlinear equations.[12]
소스
- ↑ 1.0 1.1 1.2 1.3 Design, Analysis, and Applications of Iterative Methods for Solving Nonlinear Systems
- ↑ Numerical Methods MCQs
- ↑ Iterative Solution Methods | Numerical analysis
- ↑ 4.0 4.1 4.2 Iterative Methods
- ↑ Stationary Iterative Method -- from Wolfram MathWorld
- ↑ What are that iteration methods compare different iterative method?
- ↑ Lecture 1-3: Convergence and stability of iterative methods
- ↑ Formulations to overcome the divergence of iterative method of fixed-point in nonlinear equations solution
- ↑ A New Iterative Method for the Numerical Solution of High-Order Non-linear Fractional Boundary Value Problems
- ↑ An iterative numerical method to solve nonlinear fuzzy Volterra-Hammerstein integral equations
- ↑ 11.0 11.1 11.2 Iterative method
- ↑ 12.0 12.1 12.2 12.3 Three-step iterative methods for numerical solution of systems of nonlinear equations