Fixed-Point Iteration (fixed_point_iteration)
Updated 6 Jul 2022
Fixed-point iteration for finding the fixed point of a univariate, scalar-valued function.
c = fixed_point_iteration(f,x0)
c = fixed_point_iteration(f,x0,opts)
[c,k] = fixed_point_iteration(__)
[c,k,c_all] = fixed_point_iteration(__)
c = fixed_point_iteration(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 to
TOL→ tolerance (defaults to )
[c,k] = fixed_point_iteration(__) also returns the number of iterations (
k) performed of fixed-point iteration.
[c,k,c_all] = fixed_point_iteration(__) does the same as the previous syntaxes, but also returns an array (
c_all) storing the fixed point estimates at each iteration. This syntax requires that
opts.return_all be set to true.
- 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.
Tamas Kis (2022). Fixed-Point Iteration (fixed_point_iteration) (https://github.com/tamaskis/fixed_point_iteration-MATLAB/releases/tag/v6.1.0), GitHub. Retrieved .
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