ARPACK is a FORTRAN90 program which computes eigenvalues and eigenvectors of large matrices, by Richard Lehoucq, Danny Sorensen, Chao Yang.
ARPACK supports single and double precision, real or complex arithmetic. The matrices involved can be symmetric or nonsymmetric. The user can request just a few eigenvalues, or all of them. There are special routines for banded matrices.
Because the package uses reverse communication, the user is free to store the matrix in any way suitable. ARPACK will never require direct access to the matrix, only to the value of certain matrix-vector products such as A*x or A'*x.
ARPACK includes calls to the LAPACK and BLAS. libraries.
There is an ARPACK home page at: http://www.caam.rice.edu/software/ARPACK/index.html.
ARPACK is available in a FORTRAN90 version.
EISPACK, a FORTRAN90 library which contains eigenvalue routines, since replaced by LAPACK.
JACOBI_EIGENVALUE, a FORTRAN90 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.
TEST_EIGEN, a FORTRAN90 library which defines various eigenvalue test cases.
TEST_MAT, a FORTRAN90 library which defines test matrices, some of which have known eigenvalues and eigenvectors.
Richard Lehoucq, Danny Sorensen, Chao Yang.