diff --git a/gtsam/inference/GenericSequentialSolver-inl.h b/gtsam/inference/GenericSequentialSolver-inl.h
index c5fcd67ee..836168d15 100644
--- a/gtsam/inference/GenericSequentialSolver-inl.h
+++ b/gtsam/inference/GenericSequentialSolver-inl.h
@@ -32,18 +32,18 @@ namespace gtsam {
 	template<class FACTOR>
 	GenericSequentialSolver<FACTOR>::GenericSequentialSolver(
 			const FactorGraph<FACTOR>& factorGraph) :
-		factors_(new FactorGraph<FACTOR> (factorGraph)), structure_(
-				new VariableIndex(factorGraph)), eliminationTree_(EliminationTree<
-				FACTOR>::Create(*factors_, *structure_)) {
+			factors_(new FactorGraph<FACTOR>(factorGraph)),
+			structure_(new VariableIndex(factorGraph)),
+			eliminationTree_(EliminationTree<FACTOR>::Create(*factors_, *structure_)) {
 	}
 
 	/* ************************************************************************* */
 	template<class FACTOR>
 	GenericSequentialSolver<FACTOR>::GenericSequentialSolver(
-			const typename FactorGraph<FACTOR>::shared_ptr& factorGraph,
+			const sharedFactorGraph& factorGraph,
 			const VariableIndex::shared_ptr& variableIndex) :
-		factors_(factorGraph), structure_(variableIndex), eliminationTree_(
-				EliminationTree<FACTOR>::Create(*factors_, *structure_)) {
+			factors_(factorGraph), structure_(variableIndex),
+			eliminationTree_(EliminationTree<FACTOR>::Create(*factors_, *structure_)) {
 	}
 
 	/* ************************************************************************* */
@@ -67,7 +67,7 @@ namespace gtsam {
 	/* ************************************************************************* */
 	template<class FACTOR>
 	void GenericSequentialSolver<FACTOR>::replaceFactors(
-			const typename FactorGraph<FACTOR>::shared_ptr& factorGraph) {
+			const sharedFactorGraph& factorGraph) {
 		// Reset this shared pointer first to deallocate if possible - for big
 		// problems there may not be enough memory to store two copies.
 		eliminationTree_.reset();
@@ -91,8 +91,7 @@ namespace gtsam {
 			typename EliminationTree<FACTOR>::Eliminate function) const {
 
 		// Compute a COLAMD permutation with the marginal variable constrained to the end.
-		Permutation::shared_ptr permutation(Inference::PermutationCOLAMD(
-				*structure_, js));
+		Permutation::shared_ptr permutation(Inference::PermutationCOLAMD(*structure_, js));
 		Permutation::shared_ptr permutationInverse(permutation->inverse());
 
 		// Permute the factors - NOTE that this permutes the original factors, not
@@ -102,15 +101,15 @@ namespace gtsam {
 						if (factor) factor->permuteWithInverse(*permutationInverse);
 
 		// Eliminate all variables
-		typename BayesNet<typename FACTOR::ConditionalType>::shared_ptr bayesNet(
-				EliminationTree<FACTOR>::Create(*factors_)->eliminate(function));
+		typename BayesNet<typename FACTOR::ConditionalType>::shared_ptr
+			bayesNet(EliminationTree<FACTOR>::Create(*factors_)->eliminate(function));
 
 		// Undo the permuation on the original factors and on the structure.
 		BOOST_FOREACH(const typename FACTOR::shared_ptr& factor, *factors_)
-						if (factor) factor->permuteWithInverse(*permutation);
+					if (factor) factor->permuteWithInverse(*permutation);
 
 		// Take the joint marginal from the Bayes net.
-		typename FactorGraph<FACTOR>::shared_ptr joint(new FactorGraph<FACTOR> );
+		sharedFactorGraph joint(new FactorGraph<FACTOR> );
 		joint->reserve(js.size());
 		typename BayesNet<typename FACTOR::ConditionalType>::const_reverse_iterator
 				conditional = bayesNet->rbegin();
diff --git a/gtsam/inference/GenericSequentialSolver.h b/gtsam/inference/GenericSequentialSolver.h
index 52da0a96d..0e6ad6792 100644
--- a/gtsam/inference/GenericSequentialSolver.h
+++ b/gtsam/inference/GenericSequentialSolver.h
@@ -24,19 +24,36 @@
 
 namespace gtsam {
 
+	/**
+	 * This solver implements sequential variable elimination for factor graphs.
+	 * Underlying this is a column elimination tree, see Gilbert 2001 BIT.
+	 *
+	 * The elimination ordering is "baked in" to the variable indices at this
+	 * stage, i.e. elimination proceeds in order from '0'.
+	 *
+	 * This is not the most efficient algorithm we provide, most efficient is the
+	 * MultifrontalSolver, which examines and uses the clique structure.
+	 * However, sequential variable elimination is easier to understand so this is a good
+	 * starting point to learn about these algorithms and our implementation.
+	 * Additionally, the first step of MFQR is symbolic sequential elimination.
+	 */
 	template<class FACTOR>
 	class GenericSequentialSolver: public Testable<
 			GenericSequentialSolver<FACTOR> > {
 
 	protected:
 
-		// Store the original factors for computing marginals
-		typename FactorGraph<FACTOR>::shared_ptr factors_;
+		typedef typename FactorGraph<FACTOR>::shared_ptr sharedFactorGraph;
 
-		// Column structure of the factor graph
+		/** Store the original factors for computing marginals
+		 * TODO Frank says: really? Marginals should be computed from result.
+		 */
+		sharedFactorGraph factors_;
+
+		/** Store column structure of the factor graph. Why? */
 		VariableIndex::shared_ptr structure_;
 
-		// Elimination tree that performs elimination.
+		/** Elimination tree that performs elimination */
 		typename EliminationTree<FACTOR>::shared_ptr eliminationTree_;
 
 	public:
@@ -53,7 +70,7 @@ namespace gtsam {
 		 * is the fastest.
 		 */
 		GenericSequentialSolver(
-				const typename FactorGraph<FACTOR>::shared_ptr& factorGraph,
+				const sharedFactorGraph& factorGraph,
 				const VariableIndex::shared_ptr& variableIndex);
 
 		/** Print to cout */
@@ -67,8 +84,7 @@ namespace gtsam {
 		 * This function can be used if the numerical part of the factors changes,
 		 * such as during relinearization or adjusting of noise models.
 		 */
-		void replaceFactors(
-				const typename FactorGraph<FACTOR>::shared_ptr& factorGraph);
+		void replaceFactors(const sharedFactorGraph& factorGraph);
 
 		/**
 		 * Eliminate the factor graph sequentially.  Uses a column elimination tree
@@ -79,8 +95,7 @@ namespace gtsam {
 
 		/**
 		 * Compute the marginal joint over a set of variables, by integrating out
-		 * all of the other variables.  This function returns the result as a factor
-		 * graph.
+		 * all of the other variables.  Returns the result as a factor graph.
 		 */
 		typename FactorGraph<FACTOR>::shared_ptr jointFactorGraph(
 				const std::vector<Index>& js,