cubic_interp.m

Finds the extremum of a cubic interpolant built from function values and directional derivatives at two points and returns the best point inside the interpolation interval.

Syntax

[alpha,fx]=cubic_interp(end_a,end_b,alpha_a,alpha_b,f_a,dir_der_a,f_b,dir_der_b)

Arguments

end_a - first interpolation boundary in alpha space

       end_b      - second interpolation boundary in alpha space
       alpha_a    - first interpolation anchor point
       alpha_b    - second interpolation anchor point
       f_a        - function value at alpha_a
       dir_der_a  - directional derivative at alpha_a
       f_b        - function value at alpha_b
       dir_der_b  - directional derivative at alpha_b
    Returns:
       alpha      - selected maximiser of the cubic model
       fx         - cubic model value at alpha

Outputs

this function produces output as described in source code

Examples

See examples in the Spinach distribution relevant to this function.

Notes

This page was generated from the function header in the Spinach repository.

See also

• bracketing.m
• sectioning.m
• alpha_conds.m
• fmaxnewton.m
• bfgs.m
• Optimal_control_module

Version 2.11, authors: David Goodwin, Ilya Kuprov