Add LU::transpose().solve() and LU::adjoint().solve() API.

Eigen/src/Core/util/Constants.h

@@ -492,6 +492,9 @@ struct Dense {};
 /** The type used to identify a general sparse storage. */
 struct Sparse {};
 
+/** The type used to identify a general solver (foctored) storage. */
+struct SolverStorage {};
+
 /** The type used to identify a permutation storage. */
 struct PermutationStorage {};
 
@@ -506,6 +509,7 @@ struct ArrayXpr {};
 
 // An evaluator must define its shape. By default, it can be one of the following:
 struct DenseShape             { static std::string debugName() { return "DenseShape"; } };
+struct SolverShape            { static std::string debugName() { return "SolverShape"; } };
 struct HomogeneousShape       { static std::string debugName() { return "HomogeneousShape"; } };
 struct DiagonalShape          { static std::string debugName() { return "DiagonalShape"; } };
 struct BandShape              { static std::string debugName() { return "BandShape"; } };

Eigen/src/Core/util/ForwardDeclarations.h

@@ -132,6 +132,7 @@ template<typename MatrixType> struct CommaInitializer;
 template<typename Derived> class ReturnByValue;
 template<typename ExpressionType> class ArrayWrapper;
 template<typename ExpressionType> class MatrixWrapper;
+template<typename Derived> class SolverBase;
 template<typename XprType> class InnerIterator;
 
 namespace internal {