c\BeginDoc c c\Name: pcngets c c Message Passing Layer: BLACS c c\Description: c Given the eigenvalues of the upper Hessenberg matrix H, c computes the NP shifts AMU that are zeros of the polynomial of c degree NP which filters out components of the unwanted eigenvectors c corresponding to the AMU's based on some given criteria. c c NOTE: call this even in the case of user specified shifts in order c to sort the eigenvalues, and error bounds of H for later use. c c\Usage: c call pcngets c ( COMM, ISHIFT, WHICH, KEV, NP, RITZ, BOUNDS ) c c\Arguments c COMM BLACS Communicator for the processor grid. (INPUT) c c ISHIFT Integer. (INPUT) c Method for selecting the implicit shifts at each iteration. c ISHIFT = 0: user specified shifts c ISHIFT = 1: exact shift with respect to the matrix H. c c WHICH Character*2. (INPUT) c Shift selection criteria. c 'LM' -> want the KEV eigenvalues of largest magnitude. c 'SM' -> want the KEV eigenvalues of smallest magnitude. c 'LR' -> want the KEV eigenvalues of largest REAL part. c 'SR' -> want the KEV eigenvalues of smallest REAL part. c 'LI' -> want the KEV eigenvalues of largest imaginary part. c 'SI' -> want the KEV eigenvalues of smallest imaginary part. c c KEV Integer. (INPUT) c The number of desired eigenvalues. c c NP Integer. (INPUT) c The number of shifts to compute. c c RITZ Complex array of length KEV+NP. (INPUT/OUTPUT) c On INPUT, RITZ contains the the eigenvalues of H. c On OUTPUT, RITZ are sorted so that the unwanted c eigenvalues are in the first NP locations and the wanted c portion is in the last KEV locations. When exact shifts are c selected, the unwanted part corresponds to the shifts to c be applied. Also, if ISHIFT .eq. 1, the unwanted eigenvalues c are further sorted so that the ones with largest Ritz values c are first. c c BOUNDS Complex array of length KEV+NP. (INPUT/OUTPUT) c Error bounds corresponding to the ordering in RITZ. c c c c\EndDoc c c----------------------------------------------------------------------- c c\BeginLib c c\Local variables: c xxxxxx Complex c c\Routines called: c csortc ARPACK sorting routine. c pivout Parallel ARPACK utility routine that prints integers. c arscnd ARPACK utility routine for timing. c pcvout Parallel ARPACK utility routine that prints vectors. c c\Author c Danny Sorensen Phuong Vu c Richard Lehoucq CRPC / Rice University c Dept. of Computational & Houston, Texas c Applied Mathematics c Rice University c Houston, Texas c c\Parallel Modifications c Kristi Maschhoff c c\Revision history: c Starting Point: Serial Complex Code FILE: ngets.F SID: 2.1 c c\SCCS Information: c FILE: ngets.F SID: 1.2 DATE OF SID: 4/19/96 c c\Remarks c 1. This routine does not keep complex conjugate pairs of c eigenvalues together. c c\EndLib c c----------------------------------------------------------------------- c subroutine pcngets ( comm, ishift, which, kev, np, ritz, bounds) c c %--------------------% c | BLACS Communicator | c %--------------------% c integer comm c c %----------------------------------------------------% c | Include files for debugging and timing information | c %----------------------------------------------------% c include 'debug.h' include 'stat.h' c c %------------------% c | Scalar Arguments | c %------------------% c character*2 which integer ishift, kev, np c c %-----------------% c | Array Arguments | c %-----------------% c Complex & bounds(kev+np), ritz(kev+np) c c %------------% c | Parameters | c %------------% c Complex & one, zero parameter (one = (1.0, 0.0), zero = (0.0, 0.0)) c c %---------------% c | Local Scalars | c %---------------% c integer msglvl c c %----------------------% c | External Subroutines | c %----------------------% c external pcvout, csortc, arscnd c c %-----------------------% c | Executable Statements | c %-----------------------% c c %-------------------------------% c | Initialize timing statistics | c | & message level for debugging | c %-------------------------------% c call arscnd (t0) msglvl = mcgets c call csortc (which, .true., kev+np, ritz, bounds) c if ( ishift .eq. 1 ) then c c %-------------------------------------------------------% c | Sort the unwanted Ritz values used as shifts so that | c | the ones with largest Ritz estimates are first | c | This will tend to minimize the effects of the | c | forward instability of the iteration when the shifts | c | are applied in subroutine pcnapps. | c | Be careful and use 'SM' since we want to sort BOUNDS! | c %-------------------------------------------------------% c call csortc ( 'SM', .true., np, bounds, ritz ) c end if c call arscnd (t1) tcgets = tcgets + (t1 - t0) c if (msglvl .gt. 0) then call pivout (comm, logfil, 1, [kev], ndigit, '_ngets: KEV is') call pivout (comm, logfil, 1, [np], ndigit, '_ngets: NP is') call pcvout (comm, logfil, kev+np, ritz, ndigit, & '_ngets: Eigenvalues of current H matrix ') call pcvout (comm, logfil, kev+np, bounds, ndigit, & '_ngets: Ritz estimates of the current KEV+NP Ritz values') end if c return c c %----------------% c | End of pcngets | c %----------------% c end