Newton's Method (newtons_method)

版本 6.2.0 (387.7 KB) 作者: Tamas Kis
Newton's method for finding the root of a differentiable, univariate, scalar-valued function.
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更新时间 2022/10/17
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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.

引用格式

Tamas Kis (2024). Newton's Method (newtons_method) (https://github.com/tamaskis/newtons_method-MATLAB/releases/tag/v6.2.0), GitHub. 检索时间: .

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版本 已发布 发行说明
6.2.0

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6.1.0

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6.0.2

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6.0.1.0

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6.0.0

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5.5.0

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5.4.1

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5.4.0

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5.3.0

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5.2.0

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5.1.1

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5.1.0.0

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5.0.2

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5.0.1.0

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5.0.0.0

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4.0.1

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4.0.0

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3.0.5

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3.0.4.0

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3.0.2

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3.0.1

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3.0.0

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2.0.2

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2.0.1

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2.0.0

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1.1.2

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1.1.1

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1.1.0

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1.0.7

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1.0.6

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1.0.5

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1.0.4

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1.0.3

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1.0.2

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1.0.1

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1.0.0.0

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