Question

How to extract a block from a Eigen::SparseMatrix<double>. It seems there aren’t the methods I used for the dense ones.

‘class Eigen::SparseMatrix<double>’ has no member named ‘topLeftCorner’
‘class Eigen::SparseMatrix<double>’ has no member named ‘block’

There is a way to extract a block as a Eigen::SparseMatrix<double> ?

Answer 1

I made this function to extract blocks from a Eigen::SparseMatrix<double,ColMaior>

typedef Triplet<double> Tri;
SparseMatrix<double> sparseBlock(SparseMatrix<double,ColMajor> M,
        int ibegin, int jbegin, int icount, int jcount){
        //only for ColMajor Sparse Matrix
    assert(ibegin+icount <= M.rows());
    assert(jbegin+jcount <= M.cols());
    int Mj,Mi,i,j,currOuterIndex,nextOuterIndex;
    vector<Tri> tripletList;
    tripletList.reserve(M.nonZeros());

    for(j=0; j<jcount; j++){
        Mj=j+jbegin;
        currOuterIndex = M.outerIndexPtr()[Mj];
        nextOuterIndex = M.outerIndexPtr()[Mj+1];

        for(int a = currOuterIndex; a<nextOuterIndex; a++){
            Mi=M.innerIndexPtr()[a];

            if(Mi < ibegin) continue;
            if(Mi >= ibegin + icount) break;

            i=Mi-ibegin;    
            tripletList.push_back(Tri(i,j,M.valuePtr()[a]));
        }
    }
    SparseMatrix<double> matS(icount,jcount);
    matS.setFromTriplets(tripletList.begin(), tripletList.end());
    return matS;
}

And these if the sub-matrix is in one of the four corners:

SparseMatrix<double> sparseTopLeftBlock(SparseMatrix<double> M,
        int icount, int jcount){
    return sparseBlock(M,0,0,icount,jcount);
}
SparseMatrix<double> sparseTopRightBlock(SparseMatrix<double> M,
        int icount, int jcount){
    return sparseBlock(M,0,M.cols()-jcount,icount,jcount);
}
SparseMatrix<double> sparseBottomLeftBlock(SparseMatrix<double> M,
        int icount, int jcount){
    return sparseBlock(M,M.rows()-icount,0,icount,jcount);
}
SparseMatrix<double> sparseBottomRightBlock(SparseMatrix<double> M,
        int icount, int jcount){
    return sparseBlock(M,M.rows()-icount,M.cols()-jcount,icount,jcount);
}