!!$ !!$ Parallel Sparse BLAS version 3.4 !!$ (C) Copyright 2006, 2010, 2015 !!$ Salvatore Filippone University of Rome Tor Vergata !!$ Alfredo Buttari CNRS-IRIT, Toulouse !!$ !!$ Redistribution and use in source and binary forms, with or without !!$ modification, are permitted provided that the following conditions !!$ are met: !!$ 1. Redistributions of source code must retain the above copyright !!$ notice, this list of conditions and the following disclaimer. !!$ 2. Redistributions in binary form must reproduce the above copyright !!$ notice, this list of conditions, and the following disclaimer in the !!$ documentation and/or other materials provided with the distribution. !!$ 3. 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File: psb_krylov_mod.f90 ! Interfaces for Krylov subspace iterative methods. ! ! ! Subroutine: psb_ckrylov ! ! Front-end for the Krylov subspace iterations, complexversion ! ! Arguments: ! ! methd - character The specific method; can take the values: ! CG ! CGS ! BICG ! BICGSTAB ! BICGSTABL ! RGMRES ! ! a - type(psb_cspmat_type) Input: sparse matrix containing A. ! prec - class(psb_cprec_type) Input: preconditioner ! b - complex,dimension(:) Input: vector containing the ! right hand side B ! x - complex,dimension(:) Input/Output: vector containing the ! initial guess and final solution X. ! eps - real Input: Stopping tolerance; the iteration is ! stopped when the error ! estimate |err| <= eps ! ! desc_a - type(psb_desc_type). Input: The communication descriptor. ! info - integer. Output: Return code ! ! itmax - integer(optional) Input: maximum number of iterations to be ! performed. ! iter - integer(optional) Output: how many iterations have been ! performed. ! err - real (optional) Output: error estimate on exit ! itrace - integer(optional) Input: print an informational message ! with the error estimate every itrace ! iterations ! irst - integer(optional) Input: restart parameter for RGMRES and ! BICGSTAB(L) methods ! istop - integer(optional) Input: stopping criterion, or how ! to estimate the error. ! 1: err = |r|/(|a||x|+|b|) ! 2: err = |r|/|b| ! where r is the (preconditioned, recursive ! estimate of) residual ! Subroutine psb_ckrylov_vect(method,a,prec,b,x,eps,desc_a,info,& & itmax,iter,err,itrace,irst,istop,cond) use psb_base_mod use psb_prec_mod,only : psb_cprec_type use psb_krylov_mod, psb_protect_name => psb_ckrylov_vect character(len=*) :: method Type(psb_cspmat_type), Intent(in) :: a Type(psb_desc_type), Intent(in) :: desc_a class(psb_cprec_type), intent(inout) :: prec type(psb_c_vect_type), Intent(inout) :: b type(psb_c_vect_type), Intent(inout) :: x Real(psb_spk_), Intent(in) :: eps integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), Optional, Intent(in) :: itmax, itrace, irst,istop integer(psb_ipk_), Optional, Intent(out) :: iter Real(psb_spk_), Optional, Intent(out) :: err,cond interface subroutine psb_ccg_vect(a,prec,b,x,eps,& & desc_a,info,itmax,iter,err,itrace,istop,cond) import :: psb_ipk_, psb_spk_, psb_desc_type, & & psb_cspmat_type, psb_cprec_type, psb_c_vect_type type(psb_cspmat_type), intent(in) :: a type(psb_desc_type), intent(in) :: desc_a class(psb_cprec_type), intent(inout) :: prec type(psb_c_vect_type), Intent(inout) :: b type(psb_c_vect_type), Intent(inout) :: x real(psb_spk_), intent(in) :: eps integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), optional, intent(in) :: itmax, itrace,istop integer(psb_ipk_), optional, intent(out) :: iter real(psb_spk_), optional, intent(out) :: err,cond end subroutine psb_ccg_vect subroutine psb_cbicg_vect(a,prec,b,x,eps,& & desc_a,info,itmax,iter,err,itrace,istop) import :: psb_ipk_, psb_spk_, psb_desc_type, & & psb_cspmat_type, psb_cprec_type, psb_c_vect_type type(psb_cspmat_type), intent(in) :: a type(psb_desc_type), intent(in) :: desc_a class(psb_cprec_type), intent(inout) :: prec type(psb_c_vect_type), Intent(inout) :: b type(psb_c_vect_type), Intent(inout) :: x real(psb_spk_), intent(in) :: eps integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), optional, intent(in) :: itmax, itrace,istop integer(psb_ipk_), optional, intent(out) :: iter real(psb_spk_), optional, intent(out) :: err end subroutine psb_cbicg_vect subroutine psb_ccgstab_vect(a,prec,b,x,eps,& & desc_a,info,itmax,iter,err,itrace,istop) import :: psb_ipk_, psb_spk_, psb_desc_type, & & psb_cspmat_type, psb_cprec_type, psb_c_vect_type type(psb_cspmat_type), intent(in) :: a type(psb_desc_type), intent(in) :: desc_a type(psb_c_vect_type), Intent(inout) :: b type(psb_c_vect_type), Intent(inout) :: x real(psb_spk_), intent(in) :: eps class(psb_cprec_type), intent(inout) :: prec integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), optional, intent(in) :: itmax, itrace,istop integer(psb_ipk_), optional, intent(out) :: iter real(psb_spk_), optional, intent(out) :: err end subroutine psb_ccgstab_vect Subroutine psb_ccgstabl_vect(a,prec,b,x,eps,desc_a,info,& &itmax,iter,err, itrace,irst,istop) import :: psb_ipk_, psb_spk_, psb_desc_type, & & psb_cspmat_type, psb_cprec_type, psb_c_vect_type Type(psb_cspmat_type), Intent(in) :: a Type(psb_desc_type), Intent(in) :: desc_a class(psb_cprec_type), intent(inout) :: prec type(psb_c_vect_type), Intent(inout) :: b type(psb_c_vect_type), Intent(inout) :: x Real(psb_spk_), Intent(in) :: eps integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), Optional, Intent(in) :: itmax, itrace, irst,istop integer(psb_ipk_), Optional, Intent(out) :: iter Real(psb_spk_), Optional, Intent(out) :: err end subroutine psb_ccgstabl_vect Subroutine psb_crgmres_vect(a,prec,b,x,eps,desc_a,info,& &itmax,iter,err,itrace,irst,istop) import :: psb_ipk_, psb_spk_, psb_desc_type, & & psb_cspmat_type, psb_cprec_type, psb_c_vect_type Type(psb_cspmat_type), Intent(in) :: a Type(psb_desc_type), Intent(in) :: desc_a class(psb_cprec_type), intent(inout) :: prec type(psb_c_vect_type), Intent(inout) :: b type(psb_c_vect_type), Intent(inout) :: x Real(psb_spk_), Intent(in) :: eps integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), Optional, Intent(in) :: itmax, itrace, irst,istop integer(psb_ipk_), Optional, Intent(out) :: iter Real(psb_spk_), Optional, Intent(out) :: err end subroutine psb_crgmres_vect subroutine psb_ccgs_vect(a,prec,b,x,eps,desc_a,info,& &itmax,iter,err,itrace,istop) import :: psb_ipk_, psb_spk_, psb_desc_type, & & psb_cspmat_type, psb_cprec_type, psb_c_vect_type type(psb_cspmat_type), intent(in) :: a type(psb_desc_type), intent(in) :: desc_a class(psb_cprec_type), intent(inout) :: prec type(psb_c_vect_type), Intent(inout) :: b type(psb_c_vect_type), Intent(inout) :: x real(psb_spk_), intent(in) :: eps integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), optional, intent(in) :: itmax, itrace,istop integer(psb_ipk_), optional, intent(out) :: iter real(psb_spk_), optional, intent(out) :: err end subroutine psb_ccgs_vect end interface integer(psb_ipk_) :: ictxt,me,np,err_act character(len=20) :: name info = psb_success_ name = 'psb_krylov' call psb_erractionsave(err_act) ictxt=desc_a%get_context() call psb_info(ictxt, me, np) ! Default return for COND if (present(cond)) cond = szero select case(psb_toupper(method)) case('CG') call psb_ccg_vect(a,prec,b,x,eps,desc_a,info,& &itmax,iter,err,itrace,istop,cond) case('CGS') call psb_ccgs_vect(a,prec,b,x,eps,desc_a,info,& &itmax,iter,err,itrace,istop) case('BICG') call psb_cbicg_vect(a,prec,b,x,eps,desc_a,info,& &itmax,iter,err,itrace,istop) case('BICGSTAB') call psb_ccgstab_vect(a,prec,b,x,eps,desc_a,info,& &itmax,iter,err,itrace,istop) case('RGMRES') call psb_crgmres_vect(a,prec,b,x,eps,desc_a,info,& &itmax,iter,err,itrace,irst,istop) case('BICGSTABL') call psb_ccgstabl_vect(a,prec,b,x,eps,desc_a,info,& &itmax,iter,err,itrace,irst,istop) case default if (me == 0) write(psb_err_unit,*) trim(name),& & ': Warning: Unknown method ',method,& & ', defaulting to BiCGSTAB' call psb_ccgstab_vect(a,prec,b,x,eps,desc_a,info,& &itmax,iter,err,itrace,istop) end select if(info /= psb_success_) then call psb_errpush(info,name) goto 9999 end if call psb_erractionrestore(err_act) return 9999 call psb_error_handler(ictxt,err_act) return end subroutine psb_ckrylov_vect