arpack_test

arpack_test, MATLAB functions which call arpack() to compute eigenvalues and eigenvectors of large matrices. The arpack library is accessible in MATLAB via the eigs() command.

1. help eigs
   will print out information about how to use the EIGS command inside of MATLAB to interface with ARPACK.
2. Information about the use of the ARPACK execution trace facilities available through "debug.h" is given in arpack_debug.txt
3. 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.

JACOBI_EIGENVALUE, a MATLAB library which implements the Jacobi iteration for the iterative determination of the eigenvalues and eigenvectors of a real symmetric matrix.

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

PAGERANK, a MATLAB library which illustrates the eigenvalue (power method) and surfer (Markov chain) approaches to ranking web pages.

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

TEST_MAT, a MATLAB library which defines various test matrices.

Reference:

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

Source Code:

• arpack_test.m, a script that runs all the tests.
• arpack_test.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.