real_symm_monitcan be used to return additional monitoring information during computation. It is in a suite of functions which includes
For full information please refer to the NAG Library document for f12fe
- commdict, communication object
This argument must have been initialized by a prior call to
The number of the current Arnoldi iteration.
The number of converged eigenvalues so far.
- ritzfloat, ndarray, shape
The first locations of the array contain the real converged approximate eigenvalues.
- rzestfloat, ndarray, shape
The first locations of the array contain the Ritz estimates (error bounds) on the real converged approximate eigenvalues.
The suite of functions is designed to calculate some of the eigenvalues, , (and optionally the corresponding eigenvectors, ) of a standard eigenvalue problem , or of a generalized eigenvalue problem of order , where is large and the coefficient matrices and are sparse, real and symmetric. The suite can also be used to find selected eigenvalues/eigenvectors of smaller scale dense, real and symmetric problems.
On an intermediate exit from
real_symm_monitmay be called to return monitoring information on the progress of the Arnoldi iterative process. The information returned by
the number of the current Arnoldi iteration;
the number of converged eigenvalues at this point;
the real and imaginary parts of the converged eigenvalues;
the error bounds on the converged eigenvalues.
real_symm_monitdoes not have an equivalent function from the ARPACK package which prints various levels of detail of monitoring information through an output channel controlled via an argument value (see Lehoucq et al. (1998) for details of ARPACK routines).
real_symm_monitshould not be called at any time other than immediately following an return from
Lehoucq, R B, 2001, Implicitly restarted Arnoldi methods and subspace iteration, SIAM Journal on Matrix Analysis and Applications (23), 551–562
Lehoucq, R B and Scott, J A, 1996, An evaluation of software for computing eigenvalues of sparse nonsymmetric matrices, Preprint MCS-P547-1195, Argonne National Laboratory
Lehoucq, R B and Sorensen, D C, 1996, Deflation techniques for an implicitly restarted Arnoldi iteration, SIAM Journal on Matrix Analysis and Applications (17), 789–821
Lehoucq, R B, Sorensen, D C and Yang, C, 1998, ARPACK Users’ Guide: Solution of Large-scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods, SIAM, Philadelphia