ARPACK
Examples of using ARPACK for Eigenvalues and Eigenvectors of Large Matrices

ARPACK is a MATLAB library which computes eigenvalues and eigenvectors of large matrices. The ARPACK library is accessible in MATLAB via the EIGS command. This directory contains some examples of how to use ARPACK for specific problems.

help eigs
will print out information about how to use the EIGS command inside of MATLAB to interface with ARPACK.
Information about the use of the ARPACK execution trace facilities available through "debug.h" is given in arpack_debug.txt
Information about the use of the ARPACK operation count and timing statistics available through "stat.h" is given in arpack_stat.txt

Licensing:

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

Languages:

ARPACK is available in a FORTRAN90 version and a MATLAB version.

Related Data and Programs:

EISPACK, a FORTRAN90 library containing eigenvalue routines.

LAPACK_EXAMPLES, a FORTRAN90 program which demonstrates the use of the LAPACK linear algebra library.

TEST_EIGEN, a MATLAB library which defines various eigenvalue test cases.

TEST_MAT, a MATLAB library which defines various test matrices.

Reference:

Richard Lehoucq, Danny Sorensen, Chao Yang,
ARPACK User's Guide:
Solution of Large Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods.
Danny Sorensen,
Implicitly Restarted Arnoldi/Lanczos Methods for Large Scale Eigenvalue Calculations.

Examples and Tests:

arpack_test.m, a script that runs all the tests.
arpack_test_output.txt, the output file.
arpack_test01.m, tests EIGS for smallest and largest eigenvalues, with the matrix supplied explicitly.
arpack_test02.m, tests EIGS for smallest eigenvalues, with the matrix supplied implicitly, by a routine which computes inverse(A)*x.
ainv_x.m, computes inverse(A)*x for problem 2.
timestamp.m, prints the current YMDHMS date as a timestamp.

You can go up one level to the MATLAB source codes.