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 computer code and data files made available on this web page are distributed under the MIT license
web_matrix is available in a MATLAB version.
arpack_test, a MATLAB code which computes eigenvalues and eigenvectors of large sparse matrices, accessible via the built-in eigs() function;
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.
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.
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.
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).