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Redblack additional case

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Peter Boyle 2024-07-10 22:03:59 +00:00
parent 89fdd7f8dd
commit 172c75029e
1 changed files with 81 additions and 0 deletions
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81
Grid/algorithms/iterative/SchurRedBlack.h
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@ -499,6 +499,87 @@ namespace Grid {
}
};
///////////////////////////////////////////////////////////////////////////////////////////////////////
// Site diagonal is identity, left preconditioned by Mee^inv
// ( 1 - Mee^inv Meo Moo^inv Moe ) phi = Mee_inv ( Mee - Meo Moo^inv Moe Mee^inv ) phi = Mee_inv eta
//
// Solve:
// ( 1 - Mee^inv Meo Moo^inv Moe )^dag ( 1 - Mee^inv Meo Moo^inv Moe ) phi = ( 1 - Mee^inv Meo Moo^inv Moe )^dag Mee_inv eta
//
// Old notation e<->o
//
// Left precon by Moo^-1
// b) (Doo^{dag} M_oo^-dag) (Moo^-1 Doo) psi_o = [ (D_oo)^dag M_oo^-dag ] Moo^-1 L^{-1} eta_o
// eta_o' = (D_oo)^dag M_oo^-dag Moo^-1 (eta_o - Moe Mee^{-1} eta_e)
///////////////////////////////////////////////////////////////////////////////////////////////////////
template<class Field> class SchurRedBlackDiagOneSolve : public SchurRedBlackBase<Field> {
public:
typedef CheckerBoardedSparseMatrixBase<Field> Matrix;
/////////////////////////////////////////////////////
// Wrap the usual normal equations Schur trick
/////////////////////////////////////////////////////
SchurRedBlackDiagOneSolve(OperatorFunction<Field> &HermitianRBSolver, const bool initSubGuess = false,
const bool _solnAsInitGuess = false)
: SchurRedBlackBase<Field>(HermitianRBSolver,initSubGuess,_solnAsInitGuess) {};
virtual void RedBlackSource(Matrix & _Matrix,const Field &src, Field &src_e,Field &src_o)
{
GridBase *grid = _Matrix.RedBlackGrid();
GridBase *fgrid= _Matrix.Grid();
SchurDiagOneOperator<Matrix,Field> _HermOpEO(_Matrix);
Field tmp(grid);
Field Mtmp(grid);
pickCheckerboard(Even,src_e,src);
pickCheckerboard(Odd ,src_o,src);
/////////////////////////////////////////////////////
// src_o = Mpcdag *MooeeInv * (source_o - Moe MeeInv source_e)
/////////////////////////////////////////////////////
_Matrix.MooeeInv(src_e,tmp); assert( tmp.Checkerboard() ==Even);
_Matrix.Meooe (tmp,Mtmp); assert( Mtmp.Checkerboard() ==Odd);
Mtmp=src_o-Mtmp;
_Matrix.MooeeInv(Mtmp,tmp); assert( tmp.Checkerboard() ==Odd);
// get the right MpcDag
_HermOpEO.MpcDag(tmp,src_o); assert(src_o.Checkerboard() ==Odd);
}
virtual void RedBlackSolution(Matrix & _Matrix,const Field &sol_o, const Field &src_e,Field &sol)
{
GridBase *grid = _Matrix.RedBlackGrid();
GridBase *fgrid= _Matrix.Grid();
Field tmp(grid);
Field sol_e(grid);
///////////////////////////////////////////////////
// sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
///////////////////////////////////////////////////
_Matrix.Meooe(sol_o,tmp); assert( tmp.Checkerboard() ==Even);
tmp = src_e-tmp; assert( src_e.Checkerboard() ==Even);
_Matrix.MooeeInv(tmp,sol_e); assert( sol_e.Checkerboard() ==Even);
setCheckerboard(sol,sol_e); assert( sol_e.Checkerboard() ==Even);
setCheckerboard(sol,sol_o); assert( sol_o.Checkerboard() ==Odd );
};
virtual void RedBlackSolve (Matrix & _Matrix,const Field &src_o, Field &sol_o)
{
SchurDiagOneOperator<Matrix,Field> _HermOpEO(_Matrix);
this->_HermitianRBSolver(_HermOpEO,src_o,sol_o);
};
virtual void RedBlackSolve (Matrix & _Matrix,const std::vector<Field> &src_o, std::vector<Field> &sol_o)
{
SchurDiagOneOperator<Matrix,Field> _HermOpEO(_Matrix);
this->_HermitianRBSolver(_HermOpEO,src_o,sol_o);
}
};
///////////////////////////////////////////////////////////////////////////////////////////////////////
// Site diagonal is identity, right preconditioned by Mee^inv
// ( 1 - Meo Moo^inv Moe Mee^inv ) phi =( 1 - Meo Moo^inv Moe Mee^inv ) Mee psi = = eta = eta