
                    EISPACK subroutines

Subroutine   Matrix form                  Capability

BAKVEC       sign-symmetric               back transformation
BALANC       general                      scaling
BALBAK       general                      back scaling
BANDR        symmetric band               reduction
BANDV        symmetric band               some eigenvectors
BISECT       symmetric tridiagonal        some eigenvalues
BQR          symmetric band               some eigenvalues
CBABK2       complex                      back scaling
CBAL         complex                      scaling
CG           complex general              find eigenvalues/eigenvectors
CH           complex Hermitian            find eigenvalues/eigenvectors
CINVIT       complex Hessenberg           some eigenvectors
COMBAK       complex                      back transformation
COMHES       complex                      reduction
COMLR        complex Hessenberg           all eigenvalues
COMLR2       complex Hessenberg           all eigenvalues and vectors
COMQR        complex Hessenberg           all eigenvalues
COMQR2       complex Hessenberg           all eigenvalues and vectors
CORTB        complex                      back transformation
CORTH        complex                      reduction
ELMBAK       real                         back transformation
ELMHES       real                         reduction
ELTRAN       real                         reduction
FIGI         sign-symmetric               reduction
FIGI2        sign-symmetric               reduction
HQR          real Hessenberg              all eigenvalues
HQR2         real Hessenberg              all eigenvalues and vectors
HTRIB3       Hermitian packed             back transformation
HTRIBK       Hermitian                    back transformation
HTRID3       Hermitian packed             reduction
HTRIDI       Hermitian                    reduction
IMTQL1       symmetric tridiagonal        all eigenvalues
IMTQL2       symmetric tridiagonal        all eigenvalues and vectors
IMTQLV       symmetric tridiagonal        all eigenvalues
INVIT        real Hessenberg              some eigenvectors
MINFIT       real                         least squares
ORTBAK       real                         back transformation
ORTHES       real                         reduction
ORTRAN       real                         reduction
QZHES        generalized                  reduction
QZIT         generalized Hessenberg       further reduction
QZVAL        generalized Hessenberg       all eigenvalues
QZVEC        generalized Hessenberg       all eigenvectors
RATQR        symmetric tridiagonal        some eigenvalues
REBAK        symmetric generalized        back transformation
REBAKB       symmetric generalized        back transformation
REDUC        symmetric generalized        reduction
REDUC2       symmetric generalized        reduction
RG           general                      find eigenvalues/eigenvectors
RGG          generalized                  find eigenvalues/eigenvectors
RS           symmetric                    find eigenvalues/eigenvectors
RSB          band symmetric               find eigenvalues/eigenvectors
RSG          generalized symmetric        find eigenvalues/eigenvectors
RSGAB        generalized symmetric        find eigenvalues/eigenvectors
RSGBA        generalized symmetric        find eigenvalues/eigenvectors
RSM          symmetric                    find eigenvalues/eigenvectors
RSP          packed symmetric             find eigenvalues/eigenvectors
RST          tridiagonal symmetric        find eigenvalues/eigenvectors
RT           sign-symmetric tridiagonal   find eigenvalues/eigenvectors
SVD          real                         singular value decomposition
TINVIT       symmetric tridiagonal        some eigenvectors
TQL1         symmetric tridiagonal        all eigenvalues
TQL2         symmetric tridiagonal        all eigenvalues and vectors
TQLRAT       symmetric tridiagonal        all eigenvalues
TRBAK1       symmetric                    back transformation
TRBAK3       packed symmetric             back transformation
TRED1        symmetric                    reduction
TRED2        symmetric                    reduction
TRED3        packed symmetric             reduction
TRIDIB       symmetric tridiagonal        some eigenvalues
TSTURM       symmetric tridiagonal        some eigenvalues and vectors

Developed by the NATS Project at Argonne National Laboratory.
1 Feb 84

Sep 87    rs modified to call tql1;  improved tqlrat installed.

