hermite_interpolant_test

hermite_interpolant_test, a MATLAB code which calls hermite_interpolant(), which constructs the Hermite polynomial which interpolates function and derivative values at given points.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Related Data and Programs:

hermite_interpolant, a MATLAB code which computes the Hermite interpolant, a polynomial that matches function values and derivatives.

Source Code:

• hermite_interpolant_test.m, calls all the tests.
• hermite_interpolant_test.sh, runs all the tests.
• hermite_interpolant_test.txt, the output file.

• hermite_interpolant_test01.m, three data points, a cubic function.
• hermite_interpolant_test02.m, three data points, f(x) = a 5-th degree polynomial.
• hermite_interpolant_test03.m, three random abscissas, f(x)=random 5-th degree polynomial.
• hermite_interpolant_test04.m, shows the behavior of the interpolant for Runge's example on equally-spaced data.
• hermite_interpolant_test045.m
• hermite_interpolant_test05.m, shows the behavior of the interpolant for Runge's example on Chebyshev-spaced data.
• hermite_interpolant_test06.m, tests HERMITE_BASIS_0 and HERMITE_BASIS_1.
• hermite_interpolant_test07.m, tests HERMITE_INTERPOLANT_RULE.
• hermite_interpolant_test08.m, tabulates the interpolant and its derivative.