Difference between revisions of "Cubic interp.m"
(Expand See also links to related Spinach functions and docs) |
(Update function See also links and function index membership) |
||
| (5 intermediate revisions by the same user not shown) | |||
| Line 1: | Line 1: | ||
{{DISPLAYTITLE:cubic_interp.m}} __NOTOC__ | {{DISPLAYTITLE:cubic_interp.m}} __NOTOC__ | ||
| − | Finds the extremum of a cubic interpolant built from function values and directional derivatives at two points and returns | + | 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== | ==Syntax== | ||
| Line 7: | Line 7: | ||
f_A,dir_deriv_A,f_B,dir_deriv_B) | f_A,dir_deriv_A,f_B,dir_deriv_B) | ||
| − | == | + | ==Parameters== |
end_a - first interpolation boundary in alpha space | end_a - first interpolation boundary in alpha space | ||
| Line 32: | Line 32: | ||
==See also== | ==See also== | ||
| − | + | [[bracketing.m]], [[sectioning.m]], [[alpha_conds.m]], [[fmaxnewton.m]], [[bfgs.m]], [[aux_mat.m]], [[dirdiff.m]], [[drifts.m]], [[ensemble.m]], [[hess_reorder.m]], [[objeval.m]], [[optimcon.m]], [[trapdiff.m]], [[Optimal_control_module]] | |
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
''Version 2.11, authors: David Goodwin, [[Ilya Kuprov]]'' | ''Version 2.11, authors: David Goodwin, [[Ilya Kuprov]]'' | ||
Latest revision as of 19:35, 6 June 2026
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_deriv_A,f_B,dir_deriv_B)
Parameters
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, aux_mat.m, dirdiff.m, drifts.m, ensemble.m, hess_reorder.m, objeval.m, optimcon.m, trapdiff.m, Optimal_control_module
Version 2.11, authors: David Goodwin, Ilya Kuprov
