diff --git a/Eigen/src/Core/MatrixBase.h b/Eigen/src/Core/MatrixBase.h
index db156f6e9..62877bce0 100644
--- a/Eigen/src/Core/MatrixBase.h
+++ b/Eigen/src/Core/MatrixBase.h
@@ -250,7 +250,8 @@ template<typename Derived> class MatrixBase
     
     // huuuge hack. make Eigen2's matrix.part<Diagonal>() work in eigen3. Problem: Diagonal is now a class template instead
     // of an integer constant. Solution: overload the part() method template wrt template parameters list.
-    template<template<typename T, int n> class U>
+    // Note: replacing next line by "template<template<typename T, int n> class U>" produces a mysterious error C2082 in MSVC.
+    template<template<typename, int> class U>
     const DiagonalWrapper<ConstDiagonalReturnType> part() const
     { return diagonal().asDiagonal(); }
     #endif // EIGEN2_SUPPORT
diff --git a/Eigen/src/Core/SolveTriangular.h b/Eigen/src/Core/SolveTriangular.h
index 71e129c7f..a23014a34 100644
--- a/Eigen/src/Core/SolveTriangular.h
+++ b/Eigen/src/Core/SolveTriangular.h
@@ -180,7 +180,7 @@ void TriangularView<MatrixType,Mode>::solveInPlace(const MatrixBase<OtherDerived
   eigen_assert(cols() == rows());
   eigen_assert( (Side==OnTheLeft && cols() == other.rows()) || (Side==OnTheRight && cols() == other.cols()) );
   eigen_assert(!(Mode & ZeroDiag));
-  eigen_assert(Mode & (Upper|Lower));
+  eigen_assert((Mode & (Upper|Lower)) != 0);
 
   enum { copy = internal::traits<OtherDerived>::Flags & RowMajorBit  && OtherDerived::IsVectorAtCompileTime };
   typedef typename internal::conditional<copy,
diff --git a/Eigen/src/Sparse/TriangularSolver.h b/Eigen/src/Sparse/TriangularSolver.h
index 73468e044..62bb8bb44 100644
--- a/Eigen/src/Sparse/TriangularSolver.h
+++ b/Eigen/src/Sparse/TriangularSolver.h
@@ -171,7 +171,7 @@ void SparseTriangularView<ExpressionType,Mode>::solveInPlace(MatrixBase<OtherDer
   eigen_assert(m_matrix.cols() == m_matrix.rows());
   eigen_assert(m_matrix.cols() == other.rows());
   eigen_assert(!(Mode & ZeroDiag));
-  eigen_assert(Mode & (Upper|Lower));
+  eigen_assert((Mode & (Upper|Lower)) != 0);
 
   enum { copy = internal::traits<OtherDerived>::Flags & RowMajorBit };
 
@@ -298,7 +298,7 @@ void SparseTriangularView<ExpressionType,Mode>::solveInPlace(SparseMatrixBase<Ot
   eigen_assert(m_matrix.cols() == m_matrix.rows());
   eigen_assert(m_matrix.cols() == other.rows());
   eigen_assert(!(Mode & ZeroDiag));
-  eigen_assert(Mode & (Upper|Lower));
+  eigen_assert((Mode & (Upper|Lower)) != 0);
 
 //   enum { copy = internal::traits<OtherDerived>::Flags & RowMajorBit };