Secant Method (secant_method)
secant_method
Secant method for finding the root of a univariate, scalar-valued function.
Syntax
x = secant_method(f,x0)
x = secant_method(f,x0,opts)
[x,k] = secant_method(__)
[x,k,x_all] = secant_method(__)
Description
x = secant_method(f,x0)
returns the root of a function specified by the function handle
f
, where x0
is an initial guess of the root.
x = secant_method(f,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 totrue
(defaults tofalse
) -
TOL
→ tolerance (defaults to)
[x,k] = secant_method(__)
also returns the number of iterations (k
) performed of the secant method.
[x,k,x_all] = secant_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). Secant Method (secant_method) (https://github.com/tamaskis/secant_method-MATLAB/releases/tag/v7.2.0), GitHub. 检索来源 .
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