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453 lines
15 KiB
Fortran
453 lines
15 KiB
Fortran
!!$
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!!$ Parallel Sparse BLAS v2.0
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!!$ (C) Copyright 2006 Salvatore Filippone University of Rome Tor Vergata
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!!$ Alfredo Buttari University of Rome Tor Vergata
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!!$
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!!$ Redistribution and use in source and binary forms, with or without
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!!$ modification, are permitted provided that the following conditions
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!!$ are met:
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!!$ 1. Redistributions of source code must retain the above copyright
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!!$ notice, this list of conditions and the following disclaimer.
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!!$ 2. Redistributions in binary form must reproduce the above copyright
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!!$ notice, this list of conditions, and the following disclaimer in the
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!!$ documentation and/or other materials provided with the distribution.
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!!$ 3. The name of the PSBLAS group or the names of its contributors may
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!!$ not be used to endorse or promote products derived from this
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!!$ software without specific written permission.
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!!$
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!!$ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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!!$ ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
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!!$ TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
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!!$ PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE PSBLAS GROUP OR ITS CONTRIBUTORS
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!!$ BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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!!$ CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
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!!$ SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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!!$ INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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!!$ CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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!!$ ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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!!$ POSSIBILITY OF SUCH DAMAGE.
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!!$
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!!$
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!!$ CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
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!!$ C C
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!!$ C References: C
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!!$ C [1] Duff, I., Marrone, M., Radicati, G., and Vittoli, C. C
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!!$ C Level 3 basic linear algebra subprograms for sparse C
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!!$ C matrices: a user level interface C
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!!$ C ACM Trans. Math. Softw., 23(3), 379-401, 1997. C
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!!$ C C
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!!$ C C
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!!$ C [2] S. Filippone, M. Colajanni C
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!!$ C PSBLAS: A library for parallel linear algebra C
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!!$ C computation on sparse matrices C
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!!$ C ACM Trans. on Math. Softw., 26(4), 527-550, Dec. 2000. C
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!!$ C C
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!!$ C [3] M. Arioli, I. Duff, M. Ruiz C
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!!$ C Stopping criteria for iterative solvers C
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!!$ C SIAM J. Matrix Anal. Appl., Vol. 13, pp. 138-144, 1992 C
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!!$ C C
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!!$ C C
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!!$ C [4] R. Barrett et al C
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!!$ C Templates for the solution of linear systems C
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!!$ C SIAM, 1993
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!!$ C C
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!!$ C C
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!!$ CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
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! File: psb_dcgstab.f90
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!
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! Subroutine: psb_dcgstab
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! This subroutine implements the CG Stabilized method.
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!
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! Parameters:
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! a - type(<psb_dspmat_type>). The sparse matrix containing A.
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! prec - type(<psb_prec_type>). The data structure containing the preconditioner.
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! b - real,dimension(:). The right hand side.
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! x - real,dimension(:). The vector of unknowns.
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! eps - real. The error tolerance.
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! desc_a - type(<psb_desc_type>). The communication descriptor.
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! info - integer. Eventually returns an error code.
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! itmax - integer(optional). The maximum number of iterations.
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! iter - integer(optional). The number of iterations performed.
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! err - real(optional). The error on return.
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! itrace - integer(optional). The unit to write messages onto.
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! istop - integer(optional). The stopping criterium.
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!
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Subroutine psb_dcgstab(a,prec,b,x,eps,desc_a,info,&
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&itmax,iter,err,itrace, istop)
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use psb_base_mod
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use psb_prec_mod
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Implicit None
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!!$ parameters
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Type(psb_dspmat_type), Intent(in) :: a
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Type(psb_dprec_type), Intent(in) :: prec
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Type(psb_desc_type), Intent(in) :: desc_a
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Real(Kind(1.d0)), Intent(in) :: b(:)
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Real(Kind(1.d0)), Intent(inout) :: x(:)
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Real(Kind(1.d0)), Intent(in) :: eps
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integer, intent(out) :: info
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Integer, Optional, Intent(in) :: itmax, itrace, istop
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Integer, Optional, Intent(out) :: iter
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Real(Kind(1.d0)), Optional, Intent(out) :: err
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!!$ Local data
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Real(Kind(1.d0)), allocatable, target :: aux(:),wwrk(:,:)
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Real(Kind(1.d0)), Pointer :: q(:),&
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& r(:), p(:), v(:), s(:), t(:), z(:), f(:)
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Real(Kind(1.d0)) :: rerr
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Integer :: litmax, naux, m, mglob, it,itrace_,&
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& np,me, n_row, n_col
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Logical, Parameter :: debug = .false.
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Logical, Parameter :: exchange=.True., noexchange=.False., debug1 = .False.
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Integer, Parameter :: irmax = 8
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Integer :: itx, i, isvch, ictxt, err_act, int_err(5),ii
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Integer :: istop_
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Real(Kind(1.d0)) :: alpha, beta, rho, rho_old, rni, xni, bni, ani,&
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& sigma, omega, tau, rn0, bn2
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#ifdef MPE_KRYLOV
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Integer istpb, istpe, ifctb, ifcte, imerr, irank, icomm,immb,imme
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Integer mpe_log_get_event_number,mpe_Describe_state,mpe_log_event
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#endif
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character(len=20) :: name
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info = 0
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name = 'psb_dcgstab'
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call psb_erractionsave(err_act)
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If (debug) Write(*,*) 'Entering PSB_DCGSTAB',present(istop)
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ictxt = psb_cd_get_context(desc_a)
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call psb_info(ictxt, me, np)
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if (debug) write(*,*) 'PSB_DCGSTAB: From GRIDINFO',np,me
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#ifdef MPE_KRYLOV
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call psb_get_mpicomm(ictxt,icomm)
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call psb_get_rank(irank,ictxt,me)
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istpb = mpe_log_get_event_number()
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istpe = mpe_log_get_event_number()
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ifctb = mpe_log_get_event_number()
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ifcte = mpe_log_get_event_number()
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immb = mpe_log_get_event_number()
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imme = mpe_log_get_event_number()
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if (irank==0) then
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info = mpe_describe_state(istpb,istpe,"Solver","WhiteSmoke")
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info = mpe_describe_state(ifctb,ifcte,"PREC","SteelBlue")
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info = mpe_describe_state(immb,imme,"SPMM","DarkOrange")
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endif
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#endif
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mglob = psb_cd_get_global_rows(desc_a)
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n_row = psb_cd_get_local_rows(desc_a)
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n_col = psb_cd_get_local_cols(desc_a)
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If (Present(istop)) Then
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istop_ = istop
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Else
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istop_ = 1
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Endif
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!
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! ISTOP_ = 1: Normwise backward error, infinity norm
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! ISTOP_ = 2: ||r||/||b|| norm 2
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!
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#ifdef MPE_KRYLOV
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imerr = MPE_Log_event( istpb, 0, "st CGSTAB" )
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#endif
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if ((istop_ < 1 ).or.(istop_ > 2 ) ) then
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write(0,*) 'psb_bicgstab: invalid istop',istop_
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info=5001
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int_err(1)=istop_
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err=info
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call psb_errpush(info,name,i_err=int_err)
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goto 9999
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endif
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call psb_chkvect(mglob,1,size(x,1),1,1,desc_a,info)
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if(info /= 0) then
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info=4010
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call psb_errpush(info,name,a_err='psb_chkvect on X')
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goto 9999
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end if
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call psb_chkvect(mglob,1,size(b,1),1,1,desc_a,info)
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if(info /= 0) then
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info=4010
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call psb_errpush(info,name,a_err='psb_chkvect on B')
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goto 9999
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end if
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naux=6*n_col
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allocate(aux(naux),stat=info)
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if (info == 0) call psb_geall(wwrk,desc_a,info,n=8)
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if (info == 0) call psb_geasb(wwrk,desc_a,info)
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if (info /= 0) then
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info=4011
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call psb_errpush(info,name)
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goto 9999
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End If
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Q => WWRK(:,1)
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R => WWRK(:,2)
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P => WWRK(:,3)
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V => WWRK(:,4)
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F => WWRK(:,5)
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S => WWRK(:,6)
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T => WWRK(:,7)
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Z => WWRK(:,8)
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If (Present(itmax)) Then
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litmax = itmax
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Else
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litmax = 1000
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Endif
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If (Present(itrace)) Then
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itrace_ = itrace
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Else
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itrace_ = 0
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End If
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! Ensure global coherence for convergence checks.
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call psb_set_coher(ictxt,isvch)
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itx = 0
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If (istop_ == 1) Then
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ani = psb_spnrmi(a,desc_a,info)
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bni = psb_geamax(b,desc_a,info)
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Else If (istop_ == 2) Then
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bn2 = psb_genrm2(b,desc_a,info)
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Endif
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if (info /= 0) Then
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info=4011
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call psb_errpush(info,name)
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goto 9999
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End If
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restart: Do
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!!$
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!!$ r0 = b-Ax0
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!!$
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If (itx >= litmax) Exit restart
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it = 0
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Call psb_geaxpby(done,b,dzero,r,desc_a,info)
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#ifdef MPE_KRYLOV
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imerr = MPE_Log_event( immb, 0, "st SPMM" )
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#endif
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Call psb_spmm(-done,a,x,done,r,desc_a,info,work=aux)
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#ifdef MPE_KRYLOV
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imerr = MPE_Log_event( imme, 0, "ed SPMM" )
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#endif
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Call psb_geaxpby(done,r,dzero,q,desc_a,info)
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if (info /= 0) Then
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info=4011
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call psb_errpush(info,name)
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goto 9999
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End If
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rho = dzero
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If (debug) Write(*,*) 'On entry to AMAX: B: ',Size(b)
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!
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! Must always provide norm of R into RNI below for first check on
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! residual
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!
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If (istop_ == 1) Then
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rni = psb_geamax(r,desc_a,info)
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xni = psb_geamax(x,desc_a,info)
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Else If (istop_ == 2) Then
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rni = psb_genrm2(r,desc_a,info)
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Endif
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if (info /= 0) Then
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info=4011
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call psb_errpush(info,name)
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goto 9999
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End If
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If (itx == 0) Then
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rn0 = rni
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End If
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If (rn0 == 0.d0 ) Then
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If (itrace_ > 0 ) Then
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If (me == 0) Write(*,*) 'BiCGSTAB: ',itx,rn0
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Endif
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Exit restart
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End If
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If (istop_ == 1) Then
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xni = psb_geamax(x,desc_a,info)
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rerr = rni/(ani*xni+bni)
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Else If (istop_ == 2) Then
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rerr = rni/bn2
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Endif
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if (info /= 0) Then
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info=4011
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call psb_errpush(info,name)
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goto 9999
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End If
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If (rerr<=eps) Then
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Exit restart
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End If
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If (itrace_ > 0) then
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if (((itx==0).or.(mod(itx,itrace_)==0)).and.(me == 0)) &
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& write(*,'(a,i4,3(2x,es10.4))') 'bicgstab: ',itx,rerr
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Endif
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iteration: Do
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it = it + 1
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itx = itx + 1
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If (debug) Write(*,*) 'Iteration: ',itx
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rho_old = rho
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rho = psb_gedot(q,r,desc_a,info)
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!!$ write(0,'(i2," rho old ",2(f,2x))')me,rho,rho_old
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If (debug) Write(0,*) 'Bi-CGSTAB RHO:',rho
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If (rho==dzero) Then
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If (debug) Write(0,*) 'Bi-CGSTAB Itxation breakdown R',rho
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Exit iteration
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Endif
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If (it==1) Then
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Call psb_geaxpby(done,r,dzero,p,desc_a,info)
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Else
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beta = (rho/rho_old)*(alpha/omega)
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Call psb_geaxpby(-omega,v,done,p,desc_a,info)
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Call psb_geaxpby(done,r,beta,p,desc_a,info)
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End If
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#ifdef MPE_KRYLOV
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imerr = MPE_Log_event( ifctb, 0, "st PREC" )
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#endif
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Call psb_precaply(prec,p,f,desc_a,info,work=aux)
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#ifdef MPE_KRYLOV
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imerr = MPE_Log_event( ifcte, 0, "ed PREC" )
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imerr = MPE_Log_event( immb, 0, "st SPMM" )
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#endif
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Call psb_spmm(done,a,f,dzero,v,desc_a,info,&
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& work=aux)
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#ifdef MPE_KRYLOV
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imerr = MPE_Log_event( imme, 0, "ed SPMM" )
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#endif
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sigma = psb_gedot(q,v,desc_a,info)
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If (sigma==dzero) Then
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If (debug) Write(0,*) 'Bi-CGSTAB Iteration breakdown S1', sigma
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Exit iteration
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Endif
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If (debug) Write(0,*) 'Bi-CGSTAB SIGMA:',sigma
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alpha = rho/sigma
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Call psb_geaxpby(done,r,dzero,s,desc_a,info)
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if(info /= 0) then
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call psb_errpush(4010,name,a_err='psb_geaxpby')
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goto 9999
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end if
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Call psb_geaxpby(-alpha,v,done,s,desc_a,info)
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if(info /= 0) then
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call psb_errpush(4010,name,a_err='psb_geaxpby')
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goto 9999
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end if
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#ifdef MPE_KRYLOV
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imerr = MPE_Log_event( ifctb, 0, "st PREC" )
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#endif
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Call psb_precaply(prec,s,z,desc_a,info,work=aux)
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#ifdef MPE_KRYLOV
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imerr = MPE_Log_event( ifcte, 0, "ed PREC" )
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#endif
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if(info /= 0) then
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call psb_errpush(4010,name,a_err='psb_precaply')
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goto 9999
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end if
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#ifdef MPE_KRYLOV
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imerr = MPE_Log_event( immb, 0, "st SPMM" )
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#endif
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Call psb_spmm(done,a,z,dzero,t,desc_a,info,&
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& work=aux)
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#ifdef MPE_KRYLOV
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imerr = MPE_Log_event( imme, 0, "ed SPMM" )
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#endif
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if(info /= 0) then
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call psb_errpush(4010,name,a_err='psb_spmm')
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goto 9999
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end if
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sigma = psb_gedot(t,t,desc_a,info)
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If (sigma==dzero) Then
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If (debug) Write(0,*) 'BI-CGSTAB ITERATION BREAKDOWN S2', sigma
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Exit iteration
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Endif
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tau = psb_gedot(t,s,desc_a,info)
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omega = tau/sigma
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If (debug) Write(0,*) 'Bi-CGSTAB OMEGA:',omega
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If (omega==dzero) Then
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If (debug) Write(0,*) 'BI-CGSTAB ITERATION BREAKDOWN O',omega
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Exit iteration
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Endif
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Call psb_geaxpby(alpha,f,done,x,desc_a,info)
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Call psb_geaxpby(omega,z,done,x,desc_a,info)
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Call psb_geaxpby(done,s,dzero,r,desc_a,info)
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Call psb_geaxpby(-omega,t,done,r,desc_a,info)
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If (istop_ == 1) Then
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rni = psb_geamax(r,desc_a,info)
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xni = psb_geamax(x,desc_a,info)
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rerr = rni/(ani*xni+bni)
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Else If (istop_ == 2) Then
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rni = psb_genrm2(r,desc_a,info)
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rerr = rni/bn2
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Endif
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If (rerr<=eps) Then
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Exit restart
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End If
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If (itx.Ge.litmax) Exit restart
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If (itrace_ > 0) then
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if ((mod(itx,itrace_)==0).and.(me == 0)) &
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& write(*,'(a,i4,3(2x,es10.4))') &
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& 'bicgstab: ',itx,rerr
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Endif
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End Do iteration
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End Do restart
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If (itrace_ > 0) then
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if (me == 0) write(*,'(a,i4,3(2x,es10.4))') 'bicgstab: ',itx,rerr
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Endif
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If (Present(err)) err=rerr
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If (Present(iter)) iter = itx
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If (rerr>eps) Then
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Write(0,*) 'BI-CGSTAB failed to converge to ',EPS,&
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& ' in ',ITX,' iterations. '
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End If
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Deallocate(aux)
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Call psb_gefree(wwrk,desc_a,info)
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! restore external global coherence behaviour
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call psb_restore_coher(ictxt,isvch)
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#ifdef MPE_KRYLOV
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imerr = MPE_Log_event( istpe, 0, "ed CGSTAB" )
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#endif
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if(info/=0) then
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call psb_errpush(info,name)
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goto 9999
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end if
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call psb_erractionrestore(err_act)
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return
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9999 continue
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call psb_erractionrestore(err_act)
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if (err_act.eq.psb_act_abort_) then
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call psb_error(ictxt)
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return
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end if
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return
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End Subroutine psb_dcgstab
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