lagrange_interp_1d_test
lagrange_interp_1d_test,
a MATLAB code which
calls lagrange_interp_1d(), which
defines and evaluates the Lagrange polynomial p(x)
which interpolates a set of data, so that p(x(i)) = y(i).
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:
lagrange_interp_1d,
a MATLAB code which
defines and evaluates the Lagrange polynomial p(x)
which interpolates a set of data, so that p(x(i)) = y(i).
Source Code:
-
lagrange_interp_1d_test01.m,
samples a function at ND evenly-spaced points, plots the piecewise
linear interpolant to this data, and the Lagrange polynomial interpolant.
-
lagrange_interp_1d_test02.m,
samples a function at ND Chebyshev-spaced points, plots the piecewise
linear interpolant to this data, and the Lagrange polynomial interpolant.
lagrange_interp_1d_test01() plots the data and Lagrange interpolant
for even spacing.
Images for Problem 1:
Images for Problem p02:
Images for problem p03:
-
p03_dataeven_04.png,
a plot of the 4 node even data for problem p03;
-
p03_lageven_04.png,
a plot of the Lagrange/even 4 node
polynomial interpolant for problem p03;
-
p03_dataeven_08.png,
a plot of the 8 node even data for problem p03;
-
p03_lageven_08.png,
a plot of the Lagrange/even 8 node
polynomial interpolant for problem p03;
-
p03_dataeven_16.png,
a plot of the 16 node even data for problem p03;
-
p03_lageven_16.png,
a plot of the Lagrange/even 16 node
polynomial interpolant for problem p03;
-
p03_dataeven_32.png,
a plot of the 32 node even data for problem p03;
-
p03_lageven_32.png,
a plot of the Lagrange/even 32 node
polynomial interpolant for problem p03;
-
p03_dataeven_64.png,
a plot of the 64 node even data for problem p03;
-
p03_lageven_64.png,
a plot of the Lagrange/even 64 node
polynomial interpolant for problem p03;
Images for problem p04:
-
p04_dataeven_04.png,
a plot of the 4 node even data for problem p04;
-
p04_lageven_04.png,
a plot of the Lagrange/even 4 node
polynomial interpolant for problem p04;
-
p04_dataeven_08.png,
a plot of the 8 node even data for problem p04;
-
p04_lageven_08.png,
a plot of the Lagrange/even 8 node
polynomial interpolant for problem p04;
-
p04_dataeven_16.png,
a plot of the 16 node even data for problem p04;
-
p04_lageven_16.png,
a plot of the Lagrange/even 16 node
polynomial interpolant for problem p04;
-
p04_dataeven_32.png,
a plot of the 32 node even data for problem p04;
-
p04_lageven_32.png,
a plot of the Lagrange/even 32 node
polynomial interpolant for problem p04;
-
p04_dataeven_64.png,
a plot of the 64 node even data for problem p04;
-
p04_lageven_64.png,
a plot of the Lagrange/even 64 node
polynomial interpolant for problem p04;
Images for problem p05:
-
p05_dataeven_04.png,
a plot of the 4 node even data for problem p05;
-
p05_lageven_04.png,
a plot of the Lagrange/even 4 node
polynomial interpolant for problem p05;
-
p05_dataeven_08.png,
a plot of the 8 node even data for problem p05;
-
p05_lageven_08.png,
a plot of the Lagrange/even 8 node
polynomial interpolant for problem p05;
-
p05_dataeven_16.png,
a plot of the 16 node even data for problem p05;
-
p05_lageven_16.png,
a plot of the Lagrange/even 16 node
polynomial interpolant for problem p05;
-
p05_dataeven_32.png,
a plot of the 32 node even data for problem p05;
-
p05_lageven_32.png,
a plot of the Lagrange/even 32 node
polynomial interpolant for problem p05;
-
p05_dataeven_64.png,
a plot of the 64 node even data for problem p05;
-
p05_lageven_64.png,
a plot of the Lagrange/even 64 node
polynomial interpolant for problem p05;
Images for problem p06:
-
p06_dataeven_04.png,
a plot of the 4 node even data for problem p06;
-
p06_lageven_04.png,
a plot of the Lagrange/even 4 node
polynomial interpolant for problem p06;
-
p06_dataeven_08.png,
a plot of the 8 node even data for problem p06;
-
p06_lageven_08.png,
a plot of the Lagrange/even 8 node
polynomial interpolant for problem p06;
-
p06_dataeven_16.png,
a plot of the 16 node even data for problem p06;
-
p06_lageven_16.png,
a plot of the Lagrange/even 16 node
polynomial interpolant for problem p06;
-
p06_dataeven_32.png,
a plot of the 32 node even data for problem p06;
-
p06_lageven_32.png,
a plot of the Lagrange/even 32 node
polynomial interpolant for problem p06;
-
p06_dataeven_64.png,
a plot of the 64 node even data for problem p06;
-
p06_lageven_64.png,
a plot of the Lagrange/even 64 node
polynomial interpolant for problem p06;
Images for problem p07:
-
p07_dataeven_04.png,
a plot of the 4 node even data for problem p07;
-
p07_lageven_04.png,
a plot of the Lagrange/even 4 node
polynomial interpolant for problem p07;
-
p07_dataeven_08.png,
a plot of the 8 node even data for problem p07;
-
p07_lageven_08.png,
a plot of the Lagrange/even 8 node
polynomial interpolant for problem p07;
-
p07_dataeven_16.png,
a plot of the 16 node even data for problem p07;
-
p07_lageven_16.png,
a plot of the Lagrange/even 16 node
polynomial interpolant for problem p07;
-
p07_dataeven_32.png,
a plot of the 32 node even data for problem p07;
-
p07_lageven_32.png,
a plot of the Lagrange/even 32 node
polynomial interpolant for problem p07;
-
p07_dataeven_64.png,
a plot of the 64 node even data for problem p07;
-
p07_lageven_64.png,
a plot of the Lagrange/even 64 node
polynomial interpolant for problem p07;
Images for problem p08:
-
p08_dataeven_04.png,
a plot of the 4 node even data for problem p08;
-
p08_lageven_04.png,
a plot of the Lagrange/even 4 node
polynomial interpolant for problem p08;
-
p08_dataeven_08.png,
a plot of the 8 node even data for problem p08;
-
p08_lageven_08.png,
a plot of the Lagrange/even 8 node
polynomial interpolant for problem p08;
-
p08_dataeven_16.png,
a plot of the 16 node even data for problem p08;
-
p08_lageven_16.png,
a plot of the Lagrange/even 16 node
polynomial interpolant for problem p08;
-
p08_dataeven_32.png,
a plot of the 32 node even data for problem p08;
-
p08_lageven_32.png,
a plot of the Lagrange/even 32 node
polynomial interpolant for problem p08;
-
p08_dataeven_64.png,
a plot of the 64 node even data for problem p08;
-
p08_lageven_64.png,
a plot of the Lagrange/even 64 node
polynomial interpolant for problem p08;
lagrange_interp_1d_test02() plots the data and Lagrange interpolant
for Chebyshev spacing.
Images for Problem p02:
Last modified on 06 February 2019.