least_squares_approximant


least_squares_approximant, a MATLAB code which finds a polynomial approximant to data using linear least squares (LLS).

Licensing:

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

Languages:

least_squares_approximant is available in a MATLAB version.

Related Data and Programs:

chebyshev, a MATLAB code which computes the Chebyshev interpolant/approximant to a given function over an interval.

divdif, a MATLAB code which uses divided differences to compute the polynomial interpolant to a given set of data.

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

least_squares_approximant_test

rbf_interp_1d, a MATLAB code which defines and evaluates radial basis function (RBF) interpolants to 1D data.

spline, a MATLAB code which constructs and evaluates spline interpolants and approximants.

test_interp, a MATLAB code which defines a number of test problems for interpolation, provided as a set of (x,y) data.

test_interp_fun, a MATLAB code which defines a number of test problems for interpolation, provided as functions (x,f(x)).

vandermonde_interp_1d, a MATLAB code which finds a polynomial interpolant to data by setting up and solving a linear system involving the Vandermonde matrix.

Reference:

  1. Kendall Atkinson,
    An Introduction to Numerical Analysis,
    Prentice Hall, 1989,
    ISBN: 0471624896,
    LC: QA297.A94.1989.
  2. Philip Davis,
    Interpolation and Approximation,
    Dover, 1975,
    ISBN: 0-486-62495-1,
    LC: QA221.D33
  3. David Kahaner, Cleve Moler, Steven Nash,
    Numerical Methods and Software,
    Prentice Hall, 1989,
    ISBN: 0-13-627258-4,
    LC: TA345.K34.

Source Code:


Last modified on 12 February 2019.