conte_deboor
conte_deboor,
a MATLAB code which
contains examples from Conte and deBoor's Elementary Numerical
Analysis text.
Languages:
conte_deboor is available in
a FORTRAN77 version and
a MATLAB version.
Related Data and Programs:
atkinson,
a MATLAB code which
contains examples from Atkinson's Elementary Numerical Analysis text.
cheney_kincaid,
a MATLAB code which
contains examples from Cheney and Kincaid's
Numerical Mathematics and Computing text.
conte_deboor_test
Author:
Original MATLAB version by Samuel Conte and Carl de Boor.
Modifications by John Burkardt.
Reference:

Samuel Conte, Carl de Boor,
Elementary Numerical Analysis,
Second Edition,
McGraw Hill, 1972,
ISBN: 070124464,
LC: QA297.C65.

Samuel Conte, Carl de Boor,
Elementary Numerical Analysis,
Third Edition,
SIAM, 2017,
ISBN: 9781611975192.
Source Code:

bisect.m,
uses bisection to locate a zero of a nonlinear function.

calccf.m,
returns the breaks and coefficients for a cubic spline.

cheb.m,
evaluates a linear combination of Chebyshev polynomials.

factor_cd.m,
computes the L*U factorization of a matrix.

fft_cd.m,
computes the Fourier transform of complex data.

fft_step.m,
carries out one step of the FFT calculation.

horner.m,
uses Horner's method to evaluate a polynomial.

humps_cd.m,
evaluates a function used for various demonstrations.

invitr.m,
uses inverse iteration to compute an eigenvalue and eigenvector pair.

lgndre.m,
returns the points and weight for Gauss Legendre quadrature.

mrgfls.m,
seeks a root of a nonlinear function using the modified regula falsi method.

muller.m,
seeks zeros of a complex polynomial using Muller's method.

ortpol.m,
projects a set of data onto an orthogonal polynomial basis.

ortval.m,
evaluates data that has been projected onto an orthogonal polynomial basis.

pcubic.m,
evaluates a piecewise cubic function.

polint.m,
constructs the Newton form of the polynomial that
matches a given set of data.

rgfls.m,
seeks a root of a nonlinear function using the regula falsi method.

rk2.m,
second order RungeKutta method for solving
an ordinary differential equation.

spline_cd.m,
computes the slopes necessary to guarantee that
a piecewise cubic polynomial has two continuous derivatives.

subst.m,
carries out back substitution for a factored linear system.

table_cd.m,
returns an interpolated value from a set of data.

trap.m,
uses the trapezodal rule to estimate an integral.
Last revised on 22 July 2019.