**vandermonde_interp_2d_test**,
a MATLAB code which
calls vandermonde_interp_2d(), which
finds P(X,Y), a polynomial interpolant to data Z(X,Y) which depends on
two independent variables X and Y, by setting up and solving a linear
system involving the Vandermonde matrix.

vandermonde_interp_2d, a MATLAB code which finds a polynomial interpolant to data z(x,y) of a 2D argument by setting up and solving a linear system for the polynomial coefficients, involving the vandermonde matrix.

- vandermonde_interp_2d_test.m, calls all the tests;
- vandermonde_interp_2d_test.sh, runs all the tests;
- vandermonde_interp_2d_test.txt, the output file.

- vandermonde_interp_2d_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 piecewise linear interpolant to the data for problem p01;
- 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_poly04.png, a plot of the polynomial interpolant for problem p01, degree 4;
- p01_poly08.png, a plot of the polynomial interpolant for problem p01, degree 8;
- p02_data.png, a plot of the piecewise linear interpolant to the data for problem p02;
- 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_poly04.png, a plot of the polynomial interpolant for problem p02, degree 4;
- p02_poly08.png, a plot of the polynomial interpolant for problem p02, degree 8;
- p03_data.png, a plot of the piecewise linear interpolant to the data for problem p03;
- 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_poly04.png, a plot of the polynomial interpolant for problem p03, degree 4;
- p03_poly08.png, a plot of the polynomial interpolant for problem p03, degree 8;
- p04_data.png, a plot of the piecewise linear interpolant to the data for problem p04;
- 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_poly04.png, a plot of the polynomial interpolant for problem p04, degree 4;
- p04_poly08.png, a plot of the polynomial interpolant for problem p04, degree 8;
- p05_data.png, a plot of the piecewise linear interpolant to the data for problem p05;
- 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_poly04.png, a plot of the polynomial interpolant for problem p05, degree 4;
- p05_poly08.png, a plot of the polynomial interpolant for problem p05, degree 8;
- p06_data.png, a plot of the piecewise linear interpolant to the data for problem p06;
- 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_poly04.png, a plot of the polynomial interpolant for problem p06, degree 4;
- p06_poly08.png, a plot of the polynomial interpolant for problem p06, degree 8;
- p07_data.png, a plot of the piecewise linear interpolant to the data for problem p07;
- 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_poly04.png, a plot of the polynomial interpolant for problem p07, degree 4;
- p07_poly08.png, a plot of the polynomial interpolant for problem p07, degree 8;
- p08_data.png, a plot of the piecewise linear interpolant to the data for problem p08;
- 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_poly04.png, a plot of the polynomial interpolant for problem p08, degree 4;
- p08_poly08.png, a plot of the polynomial interpolant for problem p08, degree 8;
- p09_data.png, a plot of the piecewise linear interpolant to the data for problem p09;
- p09_poly01.png, a plot of the polynomial interpolant for problem p09, degree 1;
- p09_poly02.png, a plot of the polynomial interpolant for problem p09, degree 2;
- p09_poly04.png, a plot of the polynomial interpolant for problem p09, degree 4;
- p09_poly08.png, a plot of the polynomial interpolant for problem p09, degree 8;
- p10_data.png, a plot of the piecewise linear interpolant to the data for problem p10;
- p10_poly01.png, a plot of the polynomial interpolant for problem p10, degree 1;
- p10_poly02.png, a plot of the polynomial interpolant for problem p10, degree 2;
- p10_poly04.png, a plot of the polynomial interpolant for problem p10, degree 4;
- p10_poly08.png, a plot of the polynomial interpolant for problem p10, degree 8;
- p11_data.png, a plot of the piecewise linear interpolant to the data for problem p11;
- p11_poly01.png, a plot of the polynomial interpolant for problem p11, degree 1;
- p11_poly02.png, a plot of the polynomial interpolant for problem p11, degree 2;
- p11_poly04.png, a plot of the polynomial interpolant for problem p11, degree 4;
- p11_poly08.png, a plot of the polynomial interpolant for problem p11, degree 8;
- p12_data.png, a plot of the piecewise linear interpolant to the data for problem p12;
- p12_poly01.png, a plot of the polynomial interpolant for problem p12, degree 1;
- p12_poly02.png, a plot of the polynomial interpolant for problem p12, degree 2;
- p12_poly04.png, a plot of the polynomial interpolant for problem p12, degree 4;
- p12_poly08.png, a plot of the polynomial interpolant for problem p12, degree 8;
- p13_data.png, a plot of the piecewise linear interpolant to the data for problem p13;
- p13_poly01.png, a plot of the polynomial interpolant for problem p13, degree 1;
- p13_poly02.png, a plot of the polynomial interpolant for problem p13, degree 2;
- p13_poly04.png, a plot of the polynomial interpolant for problem p13, degree 4;
- p13_poly08.png, a plot of the polynomial interpolant for problem p13, degree 8;