## Newton's Method (newtons_method)

버전 6.2.0 (388 KB) 작성자:
Newton's method for finding the root of a differentiable, univariate, scalar-valued function.

다운로드 수: 407

업데이트 날짜: 2022/10/17

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# `newtons_method`

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

## Syntax

`x = newtons_method(f,df,x0)`
`x = newtons_method(f,df,x0,opts)`
`[x,k] = newtons_method(__)`
`[x,k,x_all] = newtons_method(__)`

## Description

`x = newtons_method(f,df,x0)` returns the root of a function specified by the function handle `f`, where `df` is the derivative of (i.e. ) and `x0` is an initial guess of the root.

`x = newtons_method(f,df,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(__)` also returns the number of iterations (`k`) performed of Newton's method.

`[x,k,x_all] = newtons_method(__)` 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.

## Examples and Additional Documentation

• See "EXAMPLES.mlx" or the "Examples" tab on the File Exchange page for examples.
• See "Root_Finding_Methods.pdf" (also included with download) for the technical documentation.

### 인용 양식

Tamas Kis (2023). Newton's Method (newtons_method) (https://github.com/tamaskis/newtons_method-MATLAB/releases/tag/v6.2.0), GitHub. 검색됨 .

개발 환경: R2021b
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6.2.0

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6.1.0

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