web_matrix, a MATLAB code which stores sample matrices describing a web page network. These matrices are typically very sparse, and the examples here are stored using the sparse triplet (ST) format. They can be used to demonstrate pagerank and other graph algorithms.
The information on this web page is distributed under the MIT license.
web_matrix is available in a MATLAB version and an Octave version and a Python version.
arpack_test, a MATLAB code which computes eigenvalues and eigenvectors of large sparse matrices, accessible via the built-in eigs() function;
chebyshev_matrix, a MATLAB code which defines the Chebyshev differentiation matrix, by Lloyd Trefethen.
jordan_matrix, a MATLAB code which returns a random matrix in Jordan canonical form.
levenshtein_matrix, a MATLAB code which returns the Levenshtein distance matrix defined by two strings.
magic_matrix, a MATLAB code which computes a magic matrix, for any odd order n, such that all rows and columns have the same sum.
monopoly_matrix, a MATLAB code which computes the adjacency and transition matrices for the game of Monopoly.
pagerank, a MATLAB code which illustrates the eigenvalue (power method) and surfer (Markov chain) approaches to ranking web pages.
plasma_matrix, a MATLAB code which sets up a matrix associated with a problem in plasma physics.
power_method, a MATLAB code which carries out the power method for finding a dominant eigenvalue and its eigenvector.
risk_matrix, a MATLAB code which computes the transition and adjacency matrix for the game of RISK.
snakes_matrix, a MATLAB code which computes the transition matrix for Snakes and Ladders.
sparse_test, a MATLAB code which illustrates the use of sparse matrix utilities;
st, a data directory which illustrates the sparse triplet (ST) format for storing sparse matrices.
st_io, a MATLAB code which reads and writes matrices stored in the sparse triplet (ST) format.
tennis_matrix, a MATLAB code which computes the transition matrix for a game of tennis, which has 17 distinct states.
test_matrix, a MATLAB code which defines test matrices for which the condition number, determinant, eigenvalues, eigenvectors, inverse, null vectors, P*L*U factorization or linear system solution are known. Examples include the Fibonacci, Hilbert, Redheffer, Vandermonde, Wathen and Wilkinson matrices.
usa_matrix, a MATLAB code which defines the adjacency matrix for US states, using a variety of matrix formats.
wathen_matrix, a MATLAB code which compares storage schemes (full, banded, sparse triplet, sparse) and solution strategies (A\x, linpack, conjugate gradient (CG)) for linear systems involving the Wathen matrix, which can arise when solving a problem using the finite element method (FEM).
wishart_matrix, a MATLAB code which produces sample matrices from the Wishart or Bartlett distributions, useful for sampling random covariance matrices.