ByteVectorIterator it = A.nonZeroRowIterator(j, 0, j);
while (it.hasNext()) {
it.next();
// "then add A[j,eL] multiplied with row eL of A to row j of A."
final int eL = it.index();
beta = it.get();
// We do not actually have to perform this operation on the matrix A
// because it will not be used again.
// A.addRowsInPlace(beta, eL, j);