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User's Guide: ARPACK and PARPACK
ARPACK (ARnoldi PACKage) is a collection of
Fortran subprograms designed to solve large-scale eigenvalue problems.
It is capable of solving standard or generalized eigenvalue problems
for symmetric (Hermitian) and non-symmetric (non-Hermitian) systems.
The ARPACK library is designed to compute a few, say
k, eigenvalues with user-specified features such as those of
largest real part or largest magnitude using O(nk+k2)
storage. No auxiliary storage is required. A set of Schur basis vectors for
the desired k-dimensional eigenspace is computed, and is numerically
orthogonal within the working precision. Eigenvectors are also available upon
request. ARPACK is dependent upon a number of subprograms from LAPACK and
BLAS. The performance scales asymptotically to the Level 2 BLAS operation
PARPACK (Parallel ARPACK) is an extension of the ARPACK software package, used for solving large scale eigenvalue problems on distributed memory parallel architectures. The PARPACK in MathKeisan supports the MPI message passing layer.
User interface information is available from several sources: