PWL_APROX_1D, a MATLAB library which defines and evaluates a piecewise linear function, using NC "control points", which approximates a set of ND data points (x(i),y(i)).
PWL_APPROX_1D needs access to the R8LIB library. The test code also needs access to the TEST_INTERP_1D library.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
PWL_APPROX_1D is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version.
BERNSTEIN_POLYNOMIAL, a MATLAB library which evaluates the Bernstein polynomials, useful for uniform approximation of functions;
LAGRANGE_APPROX_1D, a MATLAB library which defines and evaluates the Lagrange polynomial p(x) of degree m which approximates a set of nd data points (x(i),y(i)).
PWL_INTERP_1D, a MATLAB library which interpolates a set of data using a piecewise linear function.
R8LIB, a MATLAB library which contains many utility routines using double precision real (R8) arithmetic.
SPLINE, a MATLAB library which constructs and evaluates spline interpolants and approximants.
TEST_APPROX, a MATLAB library which defines test problems for approximation, provided as a set of (x,y) data.
TEST_INTERP, a MATLAB library which defines a number of test problems for interpolation, provided as a set of (x,y) data.
TEST_INTERP_1D, a MATLAB library which defines test problems for interpolation of data y(x), depending on a 2D argument.
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.