vandermonde_approx_1d_test

vandermonde_approx_1d_test, a MATLAB program which calls vandermonde_approx_1d() to find a polynomial approximant to 1D data by setting up and solving an overdetermined linear system involving the Vandermonde matrix.

Licensing:

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

Related Data and Programs:

vandermonde_approx_1d, a MATLAB library which finds a polynomial approximant to data of a 1D argument by setting up and solving an overdetermined linear system for the polynomial coefficients, involving the vandermonde matrix.

Source Code:

• vandermonde_approx_1d_test.m, calls all the tests;
• vandermonde_approx_1d_test.sh, runs all the tests;
• vandermonde_approx_1d_test.txt, the output file.

• vandermonde_approx_1d_test01.m, approximates a given test problem with a polynomial of given order.

The code generates some plots of the data and approximants.

• p01_data.png, a plot of the data and piecewise linear interpolant for problem p01;
• p01_poly00.png, a plot of the polynomial interpolant for problem p01, degree 0;
• p01_poly01.png, a plot of the polynomial interpolant for problem p01, degree 1;
• p01_poly02.png, a plot of the polynomial interpolant for problem p01, degree 2;
• p01_poly03.png, a plot of the polynomial interpolant for problem p01, degree 3;
• p01_poly04.png, a plot of the polynomial interpolant for problem p01, degree 4;
• p01_poly05.png, a plot of the polynomial interpolant for problem p01, degree 5;
• p01_poly07.png, a plot of the polynomial interpolant for problem p01, degree 7;
• p01_poly09.png, a plot of the polynomial interpolant for problem p01, degree 9;
• p01_poly12.png, a plot of the polynomial interpolant for problem p01, degree 12;
• p02_data.png, a plot of the data and piecewise linear interpolant for problem p02;
• p02_poly00.png, a plot of the polynomial interpolant for problem p02, degree 0;
• p02_poly01.png, a plot of the polynomial interpolant for problem p02, degree 1;
• p02_poly02.png, a plot of the polynomial interpolant for problem p02, degree 2;
• p02_poly03.png, a plot of the polynomial interpolant for problem p02, degree 3;
• p02_poly04.png, a plot of the polynomial interpolant for problem p02, degree 4;
• p02_poly05.png, a plot of the polynomial interpolant for problem p02, degree 5;
• p02_poly07.png, a plot of the polynomial interpolant for problem p02, degree 7;
• p02_poly09.png, a plot of the polynomial interpolant for problem p02, degree 9;
• p02_poly12.png, a plot of the polynomial interpolant for problem p02, degree 12;
• p03_data.png, a plot of the data and piecewise linear interpolant for problem p03;
• p03_poly00.png, a plot of the polynomial interpolant for problem p03, degree 0;
• p03_poly01.png, a plot of the polynomial interpolant for problem p03, degree 1;
• p03_poly02.png, a plot of the polynomial interpolant for problem p03, degree 2;
• p03_poly03.png, a plot of the polynomial interpolant for problem p03, degree 3;
• p03_poly04.png, a plot of the polynomial interpolant for problem p03, degree 4;
• p03_poly05.png, a plot of the polynomial interpolant for problem p03, degree 5;
• p03_poly07.png, a plot of the polynomial interpolant for problem p03, degree 7;
• p03_poly09.png, a plot of the polynomial interpolant for problem p03, degree 9;
• p03_poly12.png, a plot of the polynomial interpolant for problem p03, degree 12;
• p04_data.png, a plot of the data and piecewise linear interpolant for problem p04;
• p04_poly00.png, a plot of the polynomial interpolant for problem p04, degree 0;
• p04_poly01.png, a plot of the polynomial interpolant for problem p04, degree 1;
• p04_poly02.png, a plot of the polynomial interpolant for problem p04, degree 2;
• p04_poly03.png, a plot of the polynomial interpolant for problem p04, degree 3;
• p04_poly04.png, a plot of the polynomial interpolant for problem p04, degree 4;
• p04_poly05.png, a plot of the polynomial interpolant for problem p04, degree 5;
• p04_poly07.png, a plot of the polynomial interpolant for problem p04, degree 7;
• p04_poly09.png, a plot of the polynomial interpolant for problem p04, degree 9;
• p04_poly12.png, a plot of the polynomial interpolant for problem p04, degree 12;
• p05_data.png, a plot of the data and piecewise linear interpolant for problem p05;
• p05_poly00.png, a plot of the polynomial interpolant for problem p05, degree 0;
• p05_poly01.png, a plot of the polynomial interpolant for problem p05, degree 1;
• p05_poly02.png, a plot of the polynomial interpolant for problem p05, degree 2;
• p05_poly03.png, a plot of the polynomial interpolant for problem p05, degree 3;
• p05_poly04.png, a plot of the polynomial interpolant for problem p05, degree 4;
• p05_poly05.png, a plot of the polynomial interpolant for problem p05, degree 5;
• p05_poly07.png, a plot of the polynomial interpolant for problem p05, degree 7;
• p05_poly09.png, a plot of the polynomial interpolant for problem p05, degree 9;
• p05_poly12.png, a plot of the polynomial interpolant for problem p05, degree 12;
• p06_data.png, a plot of the data and piecewise linear interpolant for problem p06;
• p06_poly00.png, a plot of the polynomial interpolant for problem p06, degree 0;
• p06_poly01.png, a plot of the polynomial interpolant for problem p06, degree 1;
• p06_poly02.png, a plot of the polynomial interpolant for problem p06, degree 2;
• p06_poly03.png, a plot of the polynomial interpolant for problem p06, degree 3;
• p06_poly04.png, a plot of the polynomial interpolant for problem p06, degree 4;
• p06_poly05.png, a plot of the polynomial interpolant for problem p06, degree 5;
• p06_poly07.png, a plot of the polynomial interpolant for problem p06, degree 7;
• p06_poly09.png, a plot of the polynomial interpolant for problem p06, degree 9;
• p06_poly12.png, a plot of the polynomial interpolant for problem p06, degree 12;
• p07_data.png, a plot of the data and piecewise linear interpolant for problem p07;
• p07_poly00.png, a plot of the polynomial interpolant for problem p07, degree 0;
• p07_poly01.png, a plot of the polynomial interpolant for problem p07, degree 1;
• p07_poly02.png, a plot of the polynomial interpolant for problem p07, degree 2;
• p07_poly03.png, a plot of the polynomial interpolant for problem p07, degree 3;
• p07_poly04.png, a plot of the polynomial interpolant for problem p07, degree 4;
• p07_poly05.png, a plot of the polynomial interpolant for problem p07, degree 5;
• p07_poly07.png, a plot of the polynomial interpolant for problem p07, degree 7;
• p07_poly09.png, a plot of the polynomial interpolant for problem p07, degree 9;
• p07_poly12.png, a plot of the polynomial interpolant for problem p07, degree 12;
• p08_data.png, a plot of the data and piecewise linear interpolant for problem p08;
• p08_poly00.png, a plot of the polynomial interpolant for problem p08, degree 0;
• p08_poly01.png, a plot of the polynomial interpolant for problem p08, degree 1;
• p08_poly02.png, a plot of the polynomial interpolant for problem p08, degree 2;
• p08_poly03.png, a plot of the polynomial interpolant for problem p08, degree 3;
• p08_poly04.png, a plot of the polynomial interpolant for problem p08, degree 4;
• p08_poly05.png, a plot of the polynomial interpolant for problem p08, degree 5;
• p08_poly07.png, a plot of the polynomial interpolant for problem p08, degree 7;
• p08_poly09.png, a plot of the polynomial interpolant for problem p08, degree 9;
• p08_poly12.png, a plot of the polynomial interpolant for problem p08, degree 12;