# Multivariate Newton’s Method (newtons_method_n)

버전 2.2.0 (295 KB) 작성자:
Newton's method for finding the root of a differentiable, multivariate, vector-valued function.
다운로드 수: 313
업데이트 날짜: 2022/10/17

# newtons_method_n

Newton's method for finding the root of a differentiable, multivariate, vector-valued function.

## Syntax

x = newtons_method_n(f,J,x0)
x = newtons_method_n(f,J,x0,opts)
[x,k] = newtons_method_n(__)
[x,k,x_all] = newtons_method_n(__)

## Description

x = newtons_method_n(f,J,x0) returns the root of a multivariate, vector-valued function specified by the function handle f, where J is the Jacobian of with respect to (i.e. ) and where x0 () is an initial guess of the root.

x = newtons_method_n(f,J,x0,opts) does the same as the syntax above, but allows for the specification of optional solver parameters. opts is a structure with the following fields:

• k_max → maximum number of iterations (defaults to 200)
• return_all → returns estimates at all iteration if set to true (defaults to false)
• TOL → tolerance (defaults to )

[x,k] = newtons_method_n(__) also returns the number of iterations (k) performed of Newton's method.

[x,k,x_all] = newtons_method_n(__) does the same as the previous syntaxes, but also returns an array (x_all) storing the root estimates at each iteration. This syntax requires that opts.return_all be set to true.

## Note

• See "EXAMPLES.mlx" or the "Examples" tab on the File Exchange page for examples.

### 인용 양식

Tamas Kis (2024). Multivariate Newton’s Method (newtons_method_n) (https://github.com/tamaskis/newtons_method_n-MATLAB/releases/tag/v2.2.0), GitHub. 검색됨 .

개발 환경: R2021b
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2.2.0

See release notes for this release on GitHub: https://github.com/tamaskis/newtons_method_n-MATLAB/releases/tag/v2.2.0

2.1.0

See release notes for this release on GitHub: https://github.com/tamaskis/newtons_method_n-MATLAB/releases/tag/v2.1.0

2.0.1

See release notes for this release on GitHub: https://github.com/tamaskis/newtons_method_n-MATLAB/releases/tag/v2.0.1

2.0.0

See release notes for this release on GitHub: https://github.com/tamaskis/newtons_method_n-MATLAB/releases/tag/v2.0.0

1.0.1

See release notes for this release on GitHub: https://github.com/tamaskis/fsolve_newton-MATLAB/releases/tag/v1.0.1

1.0.0

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