Solver for nonlinear equation systems: newton.m

Solves a system f(x) = 0 with n equations in n variables.
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更新 2021/1/12

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This is a simple and fast solver for nonlinear equation systems. Calculates a numerical Jacobian if not supplied by the user. It is an alternative to fsolve in Optimization Toolbox. In addition it allows bounds on independent variables, helping the user to find the relevant solution and avoid that his/her function is called with unwanted values.

Many implementations of Newton's method are already available on the File Exchange, but they are often restricted to one or a fixed number of equations, or they are tailored to specific applications. I have found this version useful for a range of problems.

Live scripts for help and examples are included.

引用

Are Mjaavatten (2024). Solver for nonlinear equation systems: newton.m (https://www.mathworks.com/matlabcentral/fileexchange/82320-solver-for-nonlinear-equation-systems-newton-m), MATLAB Central File Exchange. 取得済み .

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作成: R2020a
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バージョン 公開済み リリース ノート
2.0.2

Forgot to change file

2.0.1

Improved error handling and diagnostics

2.0.0

Uses numerical Jacobian if not provided by the user.
Added bounds on independent variables.
User control of iteration parameters.

1.0.0