diff --git a/Grid/algorithms/multigrid/GeneralCoarsenedMatrix.h b/Grid/algorithms/multigrid/GeneralCoarsenedMatrix.h
index 157901ef..9a8974b3 100644
--- a/Grid/algorithms/multigrid/GeneralCoarsenedMatrix.h
+++ b/Grid/algorithms/multigrid/GeneralCoarsenedMatrix.h
@@ -68,7 +68,7 @@ public:
   ///////////////////////
   // Interface
   ///////////////////////
-  GridBase      * Grid(void)           { return _FineGrid; };   // this is all the linalg routines need to know
+  GridBase      * Grid(void)           { return _CoarseGrid; };   // this is all the linalg routines need to know
   GridBase      * FineGrid(void)       { return _FineGrid; };   // this is all the linalg routines need to know
   GridCartesian * CoarseGrid(void)     { return _CoarseGrid; };   // this is all the linalg routines need to know
 
@@ -238,7 +238,7 @@ public:
     std::cout << GridLogPerformance<<"Coarse total bytes   "<< bytes/1e6<<" MB"<<std::endl;
 
   };
-
+  
   void PopulateAdag(void)
   {
     for(int64_t bidx=0;bidx<CoarseGrid()->gSites() ;bidx++){
@@ -451,4 +451,5 @@ public:
 };
 
 
+  
 NAMESPACE_END(Grid);
diff --git a/Grid/algorithms/multigrid/GeneralCoarsenedMatrixMultiRHS.h b/Grid/algorithms/multigrid/GeneralCoarsenedMatrixMultiRHS.h
new file mode 100644
index 00000000..fed84a33
--- /dev/null
+++ b/Grid/algorithms/multigrid/GeneralCoarsenedMatrixMultiRHS.h
@@ -0,0 +1,183 @@
+/*************************************************************************************
+
+    Grid physics library, www.github.com/paboyle/Grid 
+
+    Source file: ./lib/algorithms/GeneralCoarsenedMatrixMultiRHS.h
+
+    Copyright (C) 2015
+
+Author: Peter Boyle <pboyle@bnl.gov>
+
+    This program is free software; you can redistribute it and/or modify
+    it under the terms of the GNU General Public License as published by
+    the Free Software Foundation; either version 2 of the License, or
+    (at your option) any later version.
+
+    This program is distributed in the hope that it will be useful,
+    but WITHOUT ANY WARRANTY; without even the implied warranty of
+    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+    GNU General Public License for more details.
+
+    You should have received a copy of the GNU General Public License along
+    with this program; if not, write to the Free Software Foundation, Inc.,
+    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+    See the full license in the file "LICENSE" in the top level distribution directory
+*************************************************************************************/
+/*  END LEGAL */
+#pragma once
+
+NAMESPACE_BEGIN(Grid);
+
+// Fine Object == (per site) type of fine field
+// nbasis      == number of deflation vectors
+template<class Fobj,class CComplex,int nbasis>
+class MultiGeneralCoarsenedMatrix : public SparseMatrixBase<Lattice<iVector<CComplex,nbasis > > >  {
+public:
+  typedef typename CComplex::scalar_object SComplex;
+  typedef GeneralCoarsenedMatrix<Fobj,CComplex,nbasis> GeneralCoarseOp;
+  typedef MultiGeneralCoarsenedMatrix<Fobj,CComplex,nbasis> MultiGeneralCoarseOp;
+
+  typedef iVector<CComplex,nbasis >           siteVector;
+  typedef iMatrix<CComplex,nbasis >           siteMatrix;
+  typedef iMatrix<SComplex,nbasis >           calcMatrix;
+  typedef Lattice<iScalar<CComplex> >         CoarseComplexField;
+  typedef Lattice<siteVector>                 CoarseVector;
+  typedef Lattice<iMatrix<CComplex,nbasis > > CoarseMatrix;
+  typedef iMatrix<CComplex,nbasis >  Cobj;
+  typedef iVector<CComplex,nbasis >  Cvec;
+  typedef Lattice< CComplex >   CoarseScalar; // used for inner products on fine field
+  typedef Lattice<Fobj >        FineField;
+  typedef CoarseVector Field;
+
+  ////////////////////
+  // Data members
+  ////////////////////
+  GridCartesian *       _CoarseGridMulti; 
+  GridCartesian *       _CoarseGrid;
+  GeneralCoarseOp &     _Op;
+  NonLocalStencilGeometry geom;
+  PaddedCell Cell;
+  GeneralLocalStencil Stencil;
+  
+  std::vector<deviceVector<calcMatrix> > _A;
+  std::vector<CoarseVector> MultTemporaries;
+
+  ///////////////////////
+  // Interface
+  ///////////////////////
+  GridBase      * Grid(void)           { return _CoarseGridMulti; };   // this is all the linalg routines need to know
+  GridCartesian * CoarseGrid(void)     { return _CoarseGridMulti; };   // this is all the linalg routines need to know
+
+  MultiGeneralCoarsenedMatrix(GeneralCoarseOp & Op,GridCartesian *CoarseGridMulti) :
+    _Op(Op),
+    _CoarseGrid(Op.CoarseGrid()),
+    _CoarseGridMulti(CoarseGridMulti),
+    geom(_CoarseGridMulti,Op.geom.hops,Op.geom.skip+1),
+    Cell(Op.geom.Depth(),_CoarseGridMulti),
+    Stencil(Cell.grids.back(),geom.shifts)
+  {
+    _A.resize(geom.npoint);
+    for(int p=0;p<geom.npoint;p++){
+      _A[p].resize(_CoarseGrid->lSites());
+    }
+    CopyMatrix();
+  }
+  void CopyMatrix (void)
+  {
+    // Clone "A" to be lexicographic in the physics coords
+    // Use unvectorisetolexordarray
+    // Copy to device
+    std::vector<calcMatrix> tmp;
+    for(int p=0;p<geom.npoint;p++){
+      unvectorizeToLexOrdArray(tmp,_Op._A[p]);
+      acceleratorCopyToDevice(&tmp[0],&_A[p][0],sizeof(calcMatrix)*tmp.size());
+    }
+  }
+  void Mdag(const CoarseVector &in, CoarseVector &out)
+  {
+    this->M(in,out);
+  }
+  void M (const CoarseVector &in, CoarseVector &out)
+  {
+    conformable(CoarseGrid(),in.Grid());
+    conformable(in.Grid(),out.Grid());
+    out.Checkerboard() = in.Checkerboard();
+    CoarseVector tin=in;
+
+    CoarseVector pin = Cell.ExchangePeriodic(tin);
+    CoarseVector pout(pin.Grid());
+
+    int npoint = geom.npoint;
+    typedef calcMatrix* Aview;
+    typedef LatticeView<Cvec> Vview;
+      
+    const int Nsimd = CComplex::Nsimd();
+    
+    int64_t osites=pin.Grid()->oSites();
+    int64_t nrhs  =pin.Grid()->GlobalDimensions()[0]/Nsimd;
+
+    {
+      autoView( in_v , pin, AcceleratorRead);
+      autoView( out_v , pout, AcceleratorWriteDiscard);
+      autoView( Stencil_v  , Stencil, AcceleratorRead);
+
+      // Static and prereserve to keep UVM region live and not resized across multiple calls
+      MultTemporaries.resize(npoint,pin.Grid());       
+
+      std::vector<Aview> AcceleratorViewContainer_h;
+      std::vector<Vview> AcceleratorVecViewContainer_h; 
+
+      for(int p=0;p<npoint;p++) {
+	AcceleratorViewContainer_h.push_back( &_A[p][0]);
+	AcceleratorVecViewContainer_h.push_back(MultTemporaries[p].View(AcceleratorWrite));
+      }
+
+      static deviceVector<Aview> AcceleratorViewContainer; AcceleratorViewContainer.resize(npoint);
+      static deviceVector<Vview> AcceleratorVecViewContainer; AcceleratorVecViewContainer.resize(npoint); 
+      
+      auto Aview_p = &AcceleratorViewContainer[0];
+      auto Vview_p = &AcceleratorVecViewContainer[0];
+
+      acceleratorCopyToDevice(&AcceleratorViewContainer_h[0],&AcceleratorViewContainer[0],npoint *sizeof(Aview));
+      acceleratorCopyToDevice(&AcceleratorVecViewContainer_h[0],&AcceleratorVecViewContainer[0],npoint *sizeof(Vview));
+
+      accelerator_for(rspb, osites*nbasis*npoint, Nsimd, {
+	  typedef decltype(coalescedRead(in_v[0](0))) calcComplex;
+	  int32_t ss   = rspb/(nbasis*npoint);
+	  int32_t bp   = rspb%(nbasis*npoint);
+	  int32_t point= bp/nbasis;
+	  int32_t b    = bp%nbasis;
+	  auto SE  = Stencil_v.GetEntry(point,ss);
+	  int32_t snbr= SE->_offset;
+	  auto nbr = coalescedReadGeneralPermute(in_v[snbr],SE->_permute,Nd);
+	  auto res = Aview_p[point][ss](0,b)*nbr(0);
+	  for(int bb=1;bb<nbasis;bb++) {
+	    res = res + Aview_p[point][ss](bb,b)*nbr(bb);
+	  }
+	  coalescedWrite(Vview_p[point][ss](b),res);
+      });
+      accelerator_for(sb, osites*nbasis, Nsimd, {
+	  int ss = sb/nbasis;
+	  int b  = sb%nbasis;
+	  auto res = coalescedRead(Vview_p[0][ss](b));
+	  for(int point=1;point<npoint;point++){
+	    res = res + coalescedRead(Vview_p[point][ss](b));
+	  }
+	  coalescedWrite(out_v[ss](b),res);
+      });
+      for(int p=0;p<npoint;p++) {
+	AcceleratorVecViewContainer_h[p].ViewClose();
+      }
+    }
+
+    out = Cell.Extract(pout);
+
+  };
+  virtual  void Mdiag    (const Field &in, Field &out){ assert(0);};
+  virtual  void Mdir     (const Field &in, Field &out,int dir, int disp){assert(0);};
+  virtual  void MdirAll  (const Field &in, std::vector<Field> &out){assert(0);};
+
+};
+  
+NAMESPACE_END(Grid);
diff --git a/Grid/algorithms/multigrid/Geometry.h b/Grid/algorithms/multigrid/Geometry.h
index 74db4417..e239484a 100644
--- a/Grid/algorithms/multigrid/Geometry.h
+++ b/Grid/algorithms/multigrid/Geometry.h
@@ -104,7 +104,8 @@ public:
 /////////////////////////////////////////////////////////////////
 class NonLocalStencilGeometry {
 public:
-  int depth;
+  //  int depth;
+  int skip;
   int hops;
   int npoint;
   std::vector<Coordinate> shifts;
@@ -115,8 +116,7 @@ public:
   GridCartesian *Grid() {return grid;};
   int Depth(void){return 1;};   // Ghost zone depth
   int Hops(void){return hops;}; // # of hops=> level of corner fill in in stencil
-
-  virtual int DimSkip(void) =0;
+  int DimSkip(void){return skip;};
 
   virtual ~NonLocalStencilGeometry() {};
 
@@ -156,7 +156,7 @@ public:
     std::cout << GridLogMessage << "NonLocalStencilGeometry has "<< this->npoint << " terms in stencil "<<std::endl;
   }
   
-  NonLocalStencilGeometry(GridCartesian *_coarse_grid,int _hops) : grid(_coarse_grid), hops(_hops)
+  NonLocalStencilGeometry(GridCartesian *_coarse_grid,int _hops,int _skip) : grid(_coarse_grid), hops(_hops), skip(_skip)
   {
     Coordinate latt = grid->GlobalDimensions();
     stencil_size.resize(grid->Nd());
@@ -177,6 +177,7 @@ public:
        stencil_size[d]= 3;
      }
     }
+    this->BuildShifts();
   };
 
 };
@@ -184,14 +185,14 @@ public:
 // Need to worry about red-black now
 class NonLocalStencilGeometry4D : public NonLocalStencilGeometry {
 public:
-  virtual int DimSkip(void) { return 0;};
-  NonLocalStencilGeometry4D(GridCartesian *Coarse,int _hops) : NonLocalStencilGeometry(Coarse,_hops) { };
+  virtual int DerivedDimSkip(void) { return 0;};
+  NonLocalStencilGeometry4D(GridCartesian *Coarse,int _hops) : NonLocalStencilGeometry(Coarse,_hops,0) { };
   virtual ~NonLocalStencilGeometry4D() {};
 };
 class NonLocalStencilGeometry5D : public NonLocalStencilGeometry {
 public:
-  virtual int DimSkip(void) { return 1; }; 
-  NonLocalStencilGeometry5D(GridCartesian *Coarse,int _hops) : NonLocalStencilGeometry(Coarse,_hops)  { };
+  virtual int DerivedDimSkip(void) { return 1; }; 
+  NonLocalStencilGeometry5D(GridCartesian *Coarse,int _hops) : NonLocalStencilGeometry(Coarse,_hops,1)  { };
   virtual ~NonLocalStencilGeometry5D() {};
 };
 /*
@@ -201,42 +202,36 @@ class NextToNextToNextToNearestStencilGeometry4D : public NonLocalStencilGeometr
 public:
   NextToNextToNextToNearestStencilGeometry4D(GridCartesian *Coarse) :  NonLocalStencilGeometry4D(Coarse,4)
   {
-    this->BuildShifts();
   };
 };
 class NextToNextToNextToNearestStencilGeometry5D : public  NonLocalStencilGeometry5D {
 public:
   NextToNextToNextToNearestStencilGeometry5D(GridCartesian *Coarse) :  NonLocalStencilGeometry5D(Coarse,4)
   {
-    this->BuildShifts();
   };
 };
 class NextToNearestStencilGeometry4D : public  NonLocalStencilGeometry4D {
 public:
   NextToNearestStencilGeometry4D(GridCartesian *Coarse) :  NonLocalStencilGeometry4D(Coarse,2)
   {
-    this->BuildShifts();
   };
 };
 class NextToNearestStencilGeometry5D : public  NonLocalStencilGeometry5D {
 public:
   NextToNearestStencilGeometry5D(GridCartesian *Coarse) :  NonLocalStencilGeometry5D(Coarse,2)
   {
-    this->BuildShifts();
   };
 };
 class NearestStencilGeometry4D : public  NonLocalStencilGeometry4D {
 public:
   NearestStencilGeometry4D(GridCartesian *Coarse) :  NonLocalStencilGeometry4D(Coarse,1)
   {
-    this->BuildShifts();
   };
 };
 class NearestStencilGeometry5D : public  NonLocalStencilGeometry5D {
 public:
   NearestStencilGeometry5D(GridCartesian *Coarse) :  NonLocalStencilGeometry5D(Coarse,1)
   {
-    this->BuildShifts();
   };
 };
 
diff --git a/Grid/algorithms/multigrid/MultiGrid.h b/Grid/algorithms/multigrid/MultiGrid.h
index a1bf400c..c7e67f39 100644
--- a/Grid/algorithms/multigrid/MultiGrid.h
+++ b/Grid/algorithms/multigrid/MultiGrid.h
@@ -31,3 +31,4 @@ Author: Peter Boyle <pboyle@bnl.gov>
 #include <Grid/algorithms/multigrid/Geometry.h>
 #include <Grid/algorithms/multigrid/CoarsenedMatrix.h>
 #include <Grid/algorithms/multigrid/GeneralCoarsenedMatrix.h>
+#include <Grid/algorithms/multigrid/GeneralCoarsenedMatrixMultiRHS.h>