vanloan

vanloanr, a MATLAB code which contains programs and tests from Charles van Loan's Scientific Computing text.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

vanloan is available in a MATLAB version.

Related Data and Programs:

vanloan_test

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, a MATLAB code which contains examples from Conte and deBoor's Elementary Numerical Analysis text.

Author:

Original MATLAB version by Charles van Loan. This version by John Burkardt.

Reference:

1. Charles VanLoan,
   Introduction to Scientific Computing,
   Prentice Hall, 1997,
   ISBN: 0-13-125444-8,
   LC: QA76.9.M35V375.

Source Code:

• ABStep.m, takes an Adams-Bashforth ODE step.
• AdaptQNC.m, adaptic Newton-Cotes quadrature.
• AMStep.m, takes an Adams-Moulton ODE step.
• AveNorms.m, examines average value of norms.
• Bisection.m, uses bisection to find a root of an equation in an interval.
• CholBench.m, benchmarks five different Cholesky implementations.
• CholBlock.m, Cholesky factorization using block matrices.
• CholDot.m, Cholesky factorization using dot products.
• CholGax.m, Cholesky factorization.
• CholRecur.m, Cholesky factorization using recursion.
• CholSax.m, Cholesky factorization.
• CholScalar.m, Cholesky factorization using a scalar approach.
• CholTrid.m, Cholesky factorization of a symmetric positive definite tridiagonal matrix, given only diagonal and upper diagonal vectors.
• CholTridSol.m, solve a symmetric positive definite tridiagonal linear system after factorization by CholTrid.
• CircBench.m, benchmark Circulant1 and Circulant2
• Circulant1.m, construct a circulant matrix from its first row.
• Circulant2.m, construct a circulant matrix from its first row.
• Clouds.m, two-dimensional pictures of uniform and normal distributions.
• CompQNC.m, estimate an integral using a Newton-Cotes rule.
• CompQNC2D.m, estimate an integral over a rectangle using a Newton-Cotes rule.
• CondEGs.m, examine errors for a family of linear equations.
• Convert.m, evaluates a floating point number represented by three digits.
• CubicSpline.m, determines a formula for a cubic spline.
• Darts.m, displays random dart throws.
• Derivative.m, approximates the derivative of a function.
• DFT.m, computes the discrete Fourier transform of a data vector.
• Dice.m, simulates rolling a pair of dice 1000 times.
• DistMercEarth.m, returns the distance between Mercury and the earth at a given time.