Big renaming:

  start ---> head
  end   ---> tail
Much frustration with sed syntax. Need to learn perl some day.

22 files changed, 105 insertions, 105 deletions

diff --git a/Eigen/src/Cholesky/LDLT.h b/Eigen/src/Cholesky/LDLT.h
index d0f292634..de17f830c 100644
--- a/Eigen/src/Cholesky/LDLT.h
+++ b/Eigen/src/Cholesky/LDLT.h
@@ -194,7 +194,7 @@ LDLT<MatrixType>& LDLT<MatrixType>::compute(const MatrixType& a)
   {
     // Find largest diagonal element
     int index_of_biggest_in_corner;
-    biggest_in_corner = m_matrix.diagonal().end(size-j).cwise().abs()
+    biggest_in_corner = m_matrix.diagonal().tail(size-j).cwise().abs()
                        .maxCoeff(&index_of_biggest_in_corner);
     index_of_biggest_in_corner += j;
 
@@ -227,12 +227,12 @@ LDLT<MatrixType>& LDLT<MatrixType>::compute(const MatrixType& a)
 
     if (j == 0) {
       m_matrix.row(0) = m_matrix.row(0).conjugate();
-      m_matrix.col(0).end(size-1) = m_matrix.row(0).end(size-1) / m_matrix.coeff(0,0);
+      m_matrix.col(0).tail(size-1) = m_matrix.row(0).tail(size-1) / m_matrix.coeff(0,0);
       continue;
     }
 
-    RealScalar Djj = ei_real(m_matrix.coeff(j,j) -  m_matrix.row(j).start(j)
-                                               .dot(m_matrix.col(j).start(j)));
+    RealScalar Djj = ei_real(m_matrix.coeff(j,j) -  m_matrix.row(j).head(j)
+                                               .dot(m_matrix.col(j).head(j)));
     m_matrix.coeffRef(j,j) = Djj;
 
     // Finish early if the matrix is not full rank.
@@ -244,13 +244,13 @@ LDLT<MatrixType>& LDLT<MatrixType>::compute(const MatrixType& a)
 
     int endSize = size - j - 1;
     if (endSize > 0) {
-      _temporary.end(endSize).noalias() = m_matrix.block(j+1,0, endSize, j)
-                                * m_matrix.col(j).start(j).conjugate();
+      _temporary.tail(endSize).noalias() = m_matrix.block(j+1,0, endSize, j)
+                                * m_matrix.col(j).head(j).conjugate();
 
-      m_matrix.row(j).end(endSize) = m_matrix.row(j).end(endSize).conjugate()
-                                   - _temporary.end(endSize).transpose();
+      m_matrix.row(j).tail(endSize) = m_matrix.row(j).tail(endSize).conjugate()
+                                   - _temporary.tail(endSize).transpose();
 
-      m_matrix.col(j).end(endSize) = m_matrix.row(j).end(endSize) / Djj;
+      m_matrix.col(j).tail(endSize) = m_matrix.row(j).tail(endSize) / Djj;
     }
   }
 
diff --git a/Eigen/src/Cholesky/LLT.h b/Eigen/src/Cholesky/LLT.h
index ad737aaeb..02645b23f 100644
--- a/Eigen/src/Cholesky/LLT.h
+++ b/Eigen/src/Cholesky/LLT.h
@@ -166,7 +166,7 @@ template<> struct ei_llt_inplace<LowerTriangular>
       Block<MatrixType,Dynamic,Dynamic> A20(mat,k+1,0,rs,k);
 
       RealScalar x = ei_real(mat.coeff(k,k));
-      if (k>0) x -= mat.row(k).start(k).squaredNorm();
+      if (k>0) x -= mat.row(k).head(k).squaredNorm();
       if (x<=RealScalar(0))
         return false;
       mat.coeffRef(k,k) = x = ei_sqrt(x);
diff --git a/Eigen/src/Core/MatrixBase.h b/Eigen/src/Core/MatrixBase.h
index 593108522..467172777 100644
--- a/Eigen/src/Core/MatrixBase.h
+++ b/Eigen/src/Core/MatrixBase.h
@@ -459,11 +459,11 @@ template<typename Derived> class MatrixBase
     VectorBlock<Derived> segment(int start, int size);
     const VectorBlock<Derived> segment(int start, int size) const;
 
-    VectorBlock<Derived> start(int size);
-    const VectorBlock<Derived> start(int size) const;
+    VectorBlock<Derived> head(int size);
+    const VectorBlock<Derived> head(int size) const;
 
-    VectorBlock<Derived> end(int size);
-    const VectorBlock<Derived> end(int size) const;
+    VectorBlock<Derived> tail(int size);
+    const VectorBlock<Derived> tail(int size) const;
 
     typename BlockReturnType<Derived>::Type corner(CornerType type, int cRows, int cCols);
     const typename BlockReturnType<Derived>::Type corner(CornerType type, int cRows, int cCols) const;
@@ -478,11 +478,11 @@ template<typename Derived> class MatrixBase
     template<int CRows, int CCols>
     const typename BlockReturnType<Derived, CRows, CCols>::Type corner(CornerType type) const;
 
-    template<int Size> VectorBlock<Derived,Size> start(void);
-    template<int Size> const VectorBlock<Derived,Size> start() const;
+    template<int Size> VectorBlock<Derived,Size> head(void);
+    template<int Size> const VectorBlock<Derived,Size> head() const;
 
-    template<int Size> VectorBlock<Derived,Size> end();
-    template<int Size> const VectorBlock<Derived,Size> end() const;
+    template<int Size> VectorBlock<Derived,Size> tail();
+    template<int Size> const VectorBlock<Derived,Size> tail() const;
 
     template<int Size> VectorBlock<Derived,Size> segment(int start);
     template<int Size> const VectorBlock<Derived,Size> segment(int start) const;
diff --git a/Eigen/src/Core/StableNorm.h b/Eigen/src/Core/StableNorm.h
index fa1e095ca..3ebd7282b 100644
--- a/Eigen/src/Core/StableNorm.h
+++ b/Eigen/src/Core/StableNorm.h
@@ -67,7 +67,7 @@ MatrixBase<Derived>::stableNorm() const
   {
     bi = ei_first_aligned(&const_cast_derived().coeffRef(0), n);
     if (bi>0)
-      ei_stable_norm_kernel(start(bi), ssq, scale, invScale);
+      ei_stable_norm_kernel(head(bi), ssq, scale, invScale);
   }
   for (; bi<n; bi+=blockSize)
     ei_stable_norm_kernel(VectorBlock<Derived,Dynamic,Alignment>(derived(),bi,std::min(blockSize, n - bi)), ssq, scale, invScale);
diff --git a/Eigen/src/Core/VectorBlock.h b/Eigen/src/Core/VectorBlock.h
index 65268b626..15b3a2aa5 100644
--- a/Eigen/src/Core/VectorBlock.h
+++ b/Eigen/src/Core/VectorBlock.h
@@ -161,16 +161,16 @@ MatrixBase<Derived>::segment(int start, int size) const
   */
 template<typename Derived>
 inline VectorBlock<Derived>
-MatrixBase<Derived>::start(int size)
+MatrixBase<Derived>::head(int size)
 {
   EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
   return VectorBlock<Derived>(derived(), 0, size);
 }
 
-/** This is the const version of start(int).*/
+/** This is the const version of head(int).*/
 template<typename Derived>
 inline const VectorBlock<Derived>
-MatrixBase<Derived>::start(int size) const
+MatrixBase<Derived>::head(int size) const
 {
   EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
   return VectorBlock<Derived>(derived(), 0, size);
@@ -193,16 +193,16 @@ MatrixBase<Derived>::start(int size) const
   */
 template<typename Derived>
 inline VectorBlock<Derived>
-MatrixBase<Derived>::end(int size)
+MatrixBase<Derived>::tail(int size)
 {
   EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
   return VectorBlock<Derived>(derived(), this->size() - size, size);
 }
 
-/** This is the const version of end(int).*/
+/** This is the const version of tail(int).*/
 template<typename Derived>
 inline const VectorBlock<Derived>
-MatrixBase<Derived>::end(int size) const
+MatrixBase<Derived>::tail(int size) const
 {
   EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
   return VectorBlock<Derived>(derived(), this->size() - size, size);
@@ -254,17 +254,17 @@ MatrixBase<Derived>::segment(int start) const
 template<typename Derived>
 template<int Size>
 inline VectorBlock<Derived,Size>
-MatrixBase<Derived>::start()
+MatrixBase<Derived>::head()
 {
   EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
   return VectorBlock<Derived,Size>(derived(), 0);
 }
 
-/** This is the const version of start<int>().*/
+/** This is the const version of head<int>().*/
 template<typename Derived>
 template<int Size>
 inline const VectorBlock<Derived,Size>
-MatrixBase<Derived>::start() const
+MatrixBase<Derived>::head() const
 {
   EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
   return VectorBlock<Derived,Size>(derived(), 0);
@@ -284,17 +284,17 @@ MatrixBase<Derived>::start() const
 template<typename Derived>
 template<int Size>
 inline VectorBlock<Derived,Size>
-MatrixBase<Derived>::end()
+MatrixBase<Derived>::tail()
 {
   EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
   return VectorBlock<Derived, Size>(derived(), size() - Size);
 }
 
-/** This is the const version of end<int>.*/
+/** This is the const version of tail<int>.*/
 template<typename Derived>
 template<int Size>
 inline const VectorBlock<Derived,Size>
-MatrixBase<Derived>::end() const
+MatrixBase<Derived>::tail() const
 {
   EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
   return VectorBlock<Derived, Size>(derived(), size() - Size);
diff --git a/Eigen/src/Core/products/SelfadjointRank2Update.h b/Eigen/src/Core/products/SelfadjointRank2Update.h
index 69cf1896c..1c0e503e6 100644
--- a/Eigen/src/Core/products/SelfadjointRank2Update.h
+++ b/Eigen/src/Core/products/SelfadjointRank2Update.h
@@ -41,8 +41,8 @@ struct ei_selfadjoint_rank2_update_selector<Scalar,UType,VType,LowerTriangular>
     for (int i=0; i<size; ++i)
     {
       Map<Matrix<Scalar,Dynamic,1> >(mat+stride*i+i, size-i) +=
-                        (alpha * ei_conj(u.coeff(i))) * v.end(size-i)
-                      + (alpha * ei_conj(v.coeff(i))) * u.end(size-i);
+                        (alpha * ei_conj(u.coeff(i))) * v.tail(size-i)
+                      + (alpha * ei_conj(v.coeff(i))) * u.tail(size-i);
     }
   }
 };
@@ -55,8 +55,8 @@ struct ei_selfadjoint_rank2_update_selector<Scalar,UType,VType,UpperTriangular>
     const int size = u.size();
     for (int i=0; i<size; ++i)
       Map<Matrix<Scalar,Dynamic,1> >(mat+stride*i, i+1) +=
-                        (alpha * ei_conj(u.coeff(i))) * v.start(i+1)
-                      + (alpha * ei_conj(v.coeff(i))) * u.start(i+1);
+                        (alpha * ei_conj(u.coeff(i))) * v.head(i+1)
+                      + (alpha * ei_conj(v.coeff(i))) * u.head(i+1);
   }
 };
 
diff --git a/Eigen/src/Eigenvalues/ComplexEigenSolver.h b/Eigen/src/Eigenvalues/ComplexEigenSolver.h
index 86206ce79..40cbb50e6 100644
--- a/Eigen/src/Eigenvalues/ComplexEigenSolver.h
+++ b/Eigen/src/Eigenvalues/ComplexEigenSolver.h
@@ -133,7 +133,7 @@ void ComplexEigenSolver<MatrixType>::compute(const MatrixType& matrix)
     for (int i=0; i<n; i++)
     {
       int k;
-      m_eivalues.cwise().abs().end(n-i).minCoeff(&k);
+      m_eivalues.cwise().abs().tail(n-i).minCoeff(&k);
       if (k != 0)
       {
         k += i;
diff --git a/Eigen/src/Eigenvalues/EigenSolver.h b/Eigen/src/Eigenvalues/EigenSolver.h
index 73d240de0..f98e54712 100644
--- a/Eigen/src/Eigenvalues/EigenSolver.h
+++ b/Eigen/src/Eigenvalues/EigenSolver.h
@@ -620,7 +620,7 @@ void EigenSolver<MatrixType>::hqr2(MatrixType& matH)
           // Overflow control
           t = ei_abs(matH.coeff(i,n));
           if ((eps * t) * t > 1)
-            matH.col(n).end(nn-i) /= t;
+            matH.col(n).tail(nn-i) /= t;
         }
       }
     }
@@ -708,7 +708,7 @@ void EigenSolver<MatrixType>::hqr2(MatrixType& matH)
     // in this algo low==0 and high==nn-1 !!
     if (i < low || i > high)
     {
-      m_eivec.row(i).end(nn-i) = matH.row(i).end(nn-i);
+      m_eivec.row(i).tail(nn-i) = matH.row(i).tail(nn-i);
     }
   }
 
diff --git a/Eigen/src/Eigenvalues/HessenbergDecomposition.h b/Eigen/src/Eigenvalues/HessenbergDecomposition.h
index 49a2469be..636b2f4f7 100644
--- a/Eigen/src/Eigenvalues/HessenbergDecomposition.h
+++ b/Eigen/src/Eigenvalues/HessenbergDecomposition.h
@@ -150,7 +150,7 @@ void HessenbergDecomposition<MatrixType>::_compute(MatrixType& matA, CoeffVector
     int remainingSize = n-i-1;
     RealScalar beta;
     Scalar h;
-    matA.col(i).end(remainingSize).makeHouseholderInPlace(h, beta);
+    matA.col(i).tail(remainingSize).makeHouseholderInPlace(h, beta);
     matA.col(i).coeffRef(i+1) = beta;
     hCoeffs.coeffRef(i) = h;
 
@@ -159,11 +159,11 @@ void HessenbergDecomposition<MatrixType>::_compute(MatrixType& matA, CoeffVector
 
     // A = H A
     matA.corner(BottomRight, remainingSize, remainingSize)
-        .applyHouseholderOnTheLeft(matA.col(i).end(remainingSize-1), h, &temp.coeffRef(0));
+        .applyHouseholderOnTheLeft(matA.col(i).tail(remainingSize-1), h, &temp.coeffRef(0));
 
     // A = A H'
     matA.corner(BottomRight, n, remainingSize)
-        .applyHouseholderOnTheRight(matA.col(i).end(remainingSize-1).conjugate(), ei_conj(h), &temp.coeffRef(0));
+        .applyHouseholderOnTheRight(matA.col(i).tail(remainingSize-1).conjugate(), ei_conj(h), &temp.coeffRef(0));
   }
 }
 
@@ -178,7 +178,7 @@ HessenbergDecomposition<MatrixType>::matrixQ() const
   for (int i = n-2; i>=0; i--)
   {
     matQ.corner(BottomRight,n-i-1,n-i-1)
-        .applyHouseholderOnTheLeft(m_matrix.col(i).end(n-i-2), ei_conj(m_hCoeffs.coeff(i)), &temp.coeffRef(0,0));
+        .applyHouseholderOnTheLeft(m_matrix.col(i).tail(n-i-2), ei_conj(m_hCoeffs.coeff(i)), &temp.coeffRef(0,0));
   }
   return matQ;
 }
diff --git a/Eigen/src/Eigenvalues/Tridiagonalization.h b/Eigen/src/Eigenvalues/Tridiagonalization.h
index 58adb38e8..e43605b0f 100644
--- a/Eigen/src/Eigenvalues/Tridiagonalization.h
+++ b/Eigen/src/Eigenvalues/Tridiagonalization.h
@@ -202,19 +202,19 @@ void Tridiagonalization<MatrixType>::_compute(MatrixType& matA, CoeffVectorType&
     int remainingSize = n-i-1;
     RealScalar beta;
     Scalar h;
-    matA.col(i).end(remainingSize).makeHouseholderInPlace(h, beta);
+    matA.col(i).tail(remainingSize).makeHouseholderInPlace(h, beta);
 
     // Apply similarity transformation to remaining columns,
-    // i.e., A = H A H' where H = I - h v v' and v = matA.col(i).end(n-i-1)
+    // i.e., A = H A H' where H = I - h v v' and v = matA.col(i).tail(n-i-1)
     matA.col(i).coeffRef(i+1) = 1;
 
-    hCoeffs.end(n-i-1) = (matA.corner(BottomRight,remainingSize,remainingSize).template selfadjointView<LowerTriangular>()
-                        * (ei_conj(h) * matA.col(i).end(remainingSize)));
+    hCoeffs.tail(n-i-1) = (matA.corner(BottomRight,remainingSize,remainingSize).template selfadjointView<LowerTriangular>()
+                        * (ei_conj(h) * matA.col(i).tail(remainingSize)));
 
-    hCoeffs.end(n-i-1) += (ei_conj(h)*Scalar(-0.5)*(hCoeffs.end(remainingSize).dot(matA.col(i).end(remainingSize)))) * matA.col(i).end(n-i-1);
+    hCoeffs.tail(n-i-1) += (ei_conj(h)*Scalar(-0.5)*(hCoeffs.tail(remainingSize).dot(matA.col(i).tail(remainingSize)))) * matA.col(i).tail(n-i-1);
 
     matA.corner(BottomRight, remainingSize, remainingSize).template selfadjointView<LowerTriangular>()
-      .rankUpdate(matA.col(i).end(remainingSize), hCoeffs.end(remainingSize), -1);
+      .rankUpdate(matA.col(i).tail(remainingSize), hCoeffs.tail(remainingSize), -1);
 
     matA.col(i).coeffRef(i+1) = beta;
     hCoeffs.coeffRef(i) = h;
@@ -242,7 +242,7 @@ void Tridiagonalization<MatrixType>::matrixQInPlace(MatrixBase<QDerived>* q) con
   for (int i = n-2; i>=0; i--)
   {
     matQ.corner(BottomRight,n-i-1,n-i-1)
-        .applyHouseholderOnTheLeft(m_matrix.col(i).end(n-i-2), ei_conj(m_hCoeffs.coeff(i)), &aux.coeffRef(0,0));
+        .applyHouseholderOnTheLeft(m_matrix.col(i).tail(n-i-2), ei_conj(m_hCoeffs.coeff(i)), &aux.coeffRef(0,0));
   }
 }
 
diff --git a/Eigen/src/Geometry/OrthoMethods.h b/Eigen/src/Geometry/OrthoMethods.h
index d16b72c43..0e890505b 100644
--- a/Eigen/src/Geometry/OrthoMethods.h
+++ b/Eigen/src/Geometry/OrthoMethods.h
@@ -173,7 +173,7 @@ struct ei_unitOrthogonal_selector<Derived,3>
     if((!ei_isMuchSmallerThan(src.x(), src.z()))
     || (!ei_isMuchSmallerThan(src.y(), src.z())))
     {
-      RealScalar invnm = RealScalar(1)/src.template start<2>().norm();
+      RealScalar invnm = RealScalar(1)/src.template head<2>().norm();
       perp.coeffRef(0) = -ei_conj(src.y())*invnm;
       perp.coeffRef(1) = ei_conj(src.x())*invnm;
       perp.coeffRef(2) = 0;
@@ -184,7 +184,7 @@ struct ei_unitOrthogonal_selector<Derived,3>
      */
     else
     {
-      RealScalar invnm = RealScalar(1)/src.template end<2>().norm();
+      RealScalar invnm = RealScalar(1)/src.template tail<2>().norm();
       perp.coeffRef(0) = 0;
       perp.coeffRef(1) = -ei_conj(src.z())*invnm;
       perp.coeffRef(2) = ei_conj(src.y())*invnm;
diff --git a/Eigen/src/Geometry/Quaternion.h b/Eigen/src/Geometry/Quaternion.h
index 861eff19c..24772089e 100644
--- a/Eigen/src/Geometry/Quaternion.h
+++ b/Eigen/src/Geometry/Quaternion.h
@@ -77,10 +77,10 @@ public:
   inline Scalar& w() { return this->derived().coeffs().coeffRef(3); }
 
   /** \returns a read-only vector expression of the imaginary part (x,y,z) */
-  inline const VectorBlock<Coefficients,3> vec() const { return coeffs().template start<3>(); }
+  inline const VectorBlock<Coefficients,3> vec() const { return coeffs().template head<3>(); }
 
   /** \returns a vector expression of the imaginary part (x,y,z) */
-  inline VectorBlock<Coefficients,3> vec() { return coeffs().template start<3>(); }
+  inline VectorBlock<Coefficients,3> vec() { return coeffs().template head<3>(); }
 
   /** \returns a read-only vector expression of the coefficients (x,y,z,w) */
   inline const typename ei_traits<Derived>::Coefficients& coeffs() const { return derived().coeffs(); }
diff --git a/Eigen/src/Geometry/Transform.h b/Eigen/src/Geometry/Transform.h
index 363fa9dc4..f91891d7b 100644
--- a/Eigen/src/Geometry/Transform.h
+++ b/Eigen/src/Geometry/Transform.h
@@ -1102,7 +1102,7 @@ struct ei_transform_right_product_impl<Other,AffineCompact, Dim,HDim, HDim,1>
   static ResultType run(const TransformType& tr, const Other& other)
   {
     ResultType res;
-    res.template start<HDim>() = tr.matrix() * other;
+    res.template head<HDim>() = tr.matrix() * other;
     res.coeffRef(Dim) = other.coeff(Dim);
   }
 };
@@ -1120,7 +1120,7 @@ struct ei_transform_right_product_impl<Other,Mode, Dim,HDim, Dim,Dim>
     res.matrix().col(Dim) = tr.matrix().col(Dim);
     res.linearExt() = (tr.linearExt() * other).lazy();
     if(Mode==Affine)
-      res.matrix().row(Dim).template start<Dim>() = tr.matrix().row(Dim).template start<Dim>();
+      res.matrix().row(Dim).template head<Dim>() = tr.matrix().row(Dim).template head<Dim>();
     return res;
   }
 };
diff --git a/Eigen/src/Geometry/Umeyama.h b/Eigen/src/Geometry/Umeyama.h
index 551a69e5b..5be098d77 100644
--- a/Eigen/src/Geometry/Umeyama.h
+++ b/Eigen/src/Geometry/Umeyama.h
@@ -170,8 +170,8 @@ umeyama(const MatrixBase<Derived>& src, const MatrixBase<OtherDerived>& dst, boo
   // Eq. (41)
   // Note that we first assign dst_mean to the destination so that there no need
   // for a temporary.
-  Rt.col(m).start(m) = dst_mean;
-  Rt.col(m).start(m).noalias() -= c*Rt.corner(TopLeft,m,m)*src_mean;
+  Rt.col(m).head(m) = dst_mean;
+  Rt.col(m).head(m).noalias() -= c*Rt.corner(TopLeft,m,m)*src_mean;
 
   if (with_scaling) Rt.block(0,0,m,m) *= c;
 
diff --git a/Eigen/src/Householder/HouseholderSequence.h b/Eigen/src/Householder/HouseholderSequence.h
index 25e962001..26e0f6a88 100644
--- a/Eigen/src/Householder/HouseholderSequence.h
+++ b/Eigen/src/Householder/HouseholderSequence.h
@@ -105,10 +105,10 @@ template<typename VectorsType, typename CoeffsType> class HouseholderSequence
       {
         if(m_trans)
           dst.corner(BottomRight, length-k, length-k)
-          .applyHouseholderOnTheRight(m_vectors.col(k).end(length-k-1), m_coeffs.coeff(k), &temp.coeffRef(0));
+          .applyHouseholderOnTheRight(m_vectors.col(k).tail(length-k-1), m_coeffs.coeff(k), &temp.coeffRef(0));
         else
           dst.corner(BottomRight, length-k, length-k)
-            .applyHouseholderOnTheLeft(m_vectors.col(k).end(length-k-1), m_coeffs.coeff(k), &temp.coeffRef(k));
+            .applyHouseholderOnTheLeft(m_vectors.col(k).tail(length-k-1), m_coeffs.coeff(k), &temp.coeffRef(k));
       }
     }
 
@@ -122,7 +122,7 @@ template<typename VectorsType, typename CoeffsType> class HouseholderSequence
       {
         int actual_k = m_trans ? vecs-k-1 : k;
         dst.corner(BottomRight, dst.rows(), length-actual_k)
-           .applyHouseholderOnTheRight(m_vectors.col(actual_k).end(length-actual_k-1), m_coeffs.coeff(actual_k), &temp.coeffRef(0));
+           .applyHouseholderOnTheRight(m_vectors.col(actual_k).tail(length-actual_k-1), m_coeffs.coeff(actual_k), &temp.coeffRef(0));
       }
     }
 
@@ -136,7 +136,7 @@ template<typename VectorsType, typename CoeffsType> class HouseholderSequence
       {
         int actual_k = m_trans ? k : vecs-k-1;
         dst.corner(BottomRight, length-actual_k, dst.cols())
-           .applyHouseholderOnTheLeft(m_vectors.col(actual_k).end(length-actual_k-1), m_coeffs.coeff(actual_k), &temp.coeffRef(0));
+           .applyHouseholderOnTheLeft(m_vectors.col(actual_k).tail(length-actual_k-1), m_coeffs.coeff(actual_k), &temp.coeffRef(0));
       }
     }
 
diff --git a/Eigen/src/LU/FullPivLU.h b/Eigen/src/LU/FullPivLU.h
index 1358c9490..4dabe54d8 100644
--- a/Eigen/src/LU/FullPivLU.h
+++ b/Eigen/src/LU/FullPivLU.h
@@ -451,9 +451,9 @@ FullPivLU<MatrixType>& FullPivLU<MatrixType>::compute(const MatrixType& matrix)
     // bottom-right corner by Gaussian elimination.
     
     if(k<rows-1)
-      m_lu.col(k).end(rows-k-1) /= m_lu.coeff(k,k);
+      m_lu.col(k).tail(rows-k-1) /= m_lu.coeff(k,k);
     if(k<size-1)
-      m_lu.block(k+1,k+1,rows-k-1,cols-k-1).noalias() -= m_lu.col(k).end(rows-k-1) * m_lu.row(k).end(cols-k-1);
+      m_lu.block(k+1,k+1,rows-k-1,cols-k-1).noalias() -= m_lu.col(k).tail(rows-k-1) * m_lu.row(k).tail(cols-k-1);
   }
 
   // the main loop is over, we still have to accumulate the transpositions to find the
@@ -537,8 +537,8 @@ struct ei_kernel_retval<FullPivLU<_MatrixType> >
       m(dec().matrixLU().block(0, 0, rank(), cols));
     for(int i = 0; i < rank(); ++i)
     {
-      if(i) m.row(i).start(i).setZero();
-      m.row(i).end(cols-i) = dec().matrixLU().row(pivots.coeff(i)).end(cols-i);
+      if(i) m.row(i).head(i).setZero();
+      m.row(i).tail(cols-i) = dec().matrixLU().row(pivots.coeff(i)).tail(cols-i);
     }
     m.block(0, 0, rank(), rank());
     m.block(0, 0, rank(), rank()).template triangularView<StrictlyLowerTriangular>().setZero();
@@ -558,7 +558,7 @@ struct ei_kernel_retval<FullPivLU<_MatrixType> >
       m.col(i).swap(m.col(pivots.coeff(i)));
 
     // see the negative sign in the next line, that's what we were talking about above.
-    for(int i = 0; i < rank(); ++i) dst.row(dec().permutationQ().indices().coeff(i)) = -m.row(i).end(dimker);
+    for(int i = 0; i < rank(); ++i) dst.row(dec().permutationQ().indices().coeff(i)) = -m.row(i).tail(dimker);
     for(int i = rank(); i < cols; ++i) dst.row(dec().permutationQ().indices().coeff(i)).setZero();
     for(int k = 0; k < dimker; ++k) dst.coeffRef(dec().permutationQ().indices().coeff(rank()+k), k) = Scalar(1);
   }
diff --git a/Eigen/src/LU/PartialPivLU.h b/Eigen/src/LU/PartialPivLU.h
index 577daa345..e65b057ae 100644
--- a/Eigen/src/LU/PartialPivLU.h
+++ b/Eigen/src/LU/PartialPivLU.h
@@ -229,7 +229,7 @@ struct ei_partial_lu_impl
     {
       int row_of_biggest_in_col;
       RealScalar biggest_in_corner
-        = lu.col(k).end(rows-k).cwise().abs().maxCoeff(&row_of_biggest_in_col);
+        = lu.col(k).tail(rows-k).cwise().abs().maxCoeff(&row_of_biggest_in_col);
       row_of_biggest_in_col += k;
 
       if(biggest_in_corner == 0) // the pivot is exactly zero: the matrix is singular
@@ -256,8 +256,8 @@ struct ei_partial_lu_impl
       {
         int rrows = rows-k-1;
         int rsize = size-k-1;
-        lu.col(k).end(rrows) /= lu.coeff(k,k);
-        lu.corner(BottomRight,rrows,rsize).noalias() -= lu.col(k).end(rrows) * lu.row(k).end(rsize);
+        lu.col(k).tail(rrows) /= lu.coeff(k,k);
+        lu.corner(BottomRight,rrows,rsize).noalias() -= lu.col(k).tail(rrows) * lu.row(k).tail(rsize);
       }
     }
     return true;
diff --git a/Eigen/src/QR/ColPivHouseholderQR.h b/Eigen/src/QR/ColPivHouseholderQR.h
index 1b2472a99..3e33fadbf 100644
--- a/Eigen/src/QR/ColPivHouseholderQR.h
+++ b/Eigen/src/QR/ColPivHouseholderQR.h
@@ -359,14 +359,14 @@ ColPivHouseholderQR<MatrixType>& ColPivHouseholderQR<MatrixType>::compute(const
   {
     // first, we look up in our table colSqNorms which column has the biggest squared norm
     int biggest_col_index;
-    RealScalar biggest_col_sq_norm = colSqNorms.end(cols-k).maxCoeff(&biggest_col_index);
+    RealScalar biggest_col_sq_norm = colSqNorms.tail(cols-k).maxCoeff(&biggest_col_index);
     biggest_col_index += k;
 
     // since our table colSqNorms accumulates imprecision at every step, we must now recompute
     // the actual squared norm of the selected column.
     // Note that not doing so does result in solve() sometimes returning inf/nan values
     // when running the unit test with 1000 repetitions.
-    biggest_col_sq_norm = m_qr.col(biggest_col_index).end(rows-k).squaredNorm();
+    biggest_col_sq_norm = m_qr.col(biggest_col_index).tail(rows-k).squaredNorm();
 
     // we store that back into our table: it can't hurt to correct our table.
     colSqNorms.coeffRef(biggest_col_index) = biggest_col_sq_norm;
@@ -379,7 +379,7 @@ ColPivHouseholderQR<MatrixType>& ColPivHouseholderQR<MatrixType>::compute(const
     if(biggest_col_sq_norm < threshold_helper * (rows-k))
     {
       m_nonzero_pivots = k;
-      m_hCoeffs.end(size-k).setZero();
+      m_hCoeffs.tail(size-k).setZero();
       m_qr.corner(BottomRight,rows-k,cols-k)
           .template triangularView<StrictlyLowerTriangular>()
           .setZero();
@@ -396,7 +396,7 @@ ColPivHouseholderQR<MatrixType>& ColPivHouseholderQR<MatrixType>::compute(const
 
     // generate the householder vector, store it below the diagonal
     RealScalar beta;
-    m_qr.col(k).end(rows-k).makeHouseholderInPlace(m_hCoeffs.coeffRef(k), beta);
+    m_qr.col(k).tail(rows-k).makeHouseholderInPlace(m_hCoeffs.coeffRef(k), beta);
 
     // apply the householder transformation to the diagonal coefficient
     m_qr.coeffRef(k,k) = beta;
@@ -406,10 +406,10 @@ ColPivHouseholderQR<MatrixType>& ColPivHouseholderQR<MatrixType>::compute(const
 
     // apply the householder transformation
     m_qr.corner(BottomRight, rows-k, cols-k-1)
-        .applyHouseholderOnTheLeft(m_qr.col(k).end(rows-k-1), m_hCoeffs.coeffRef(k), &temp.coeffRef(k+1));
+        .applyHouseholderOnTheLeft(m_qr.col(k).tail(rows-k-1), m_hCoeffs.coeffRef(k), &temp.coeffRef(k+1));
 
     // update our table of squared norms of the columns
-    colSqNorms.end(cols-k-1) -= m_qr.row(k).end(cols-k-1).cwise().abs2();
+    colSqNorms.tail(cols-k-1) -= m_qr.row(k).tail(cols-k-1).cwise().abs2();
   }
 
   m_cols_permutation.setIdentity(cols);
diff --git a/Eigen/src/QR/FullPivHouseholderQR.h b/Eigen/src/QR/FullPivHouseholderQR.h
index ae4e4aa4d..f32fb168f 100644
--- a/Eigen/src/QR/FullPivHouseholderQR.h
+++ b/Eigen/src/QR/FullPivHouseholderQR.h
@@ -306,7 +306,7 @@ FullPivHouseholderQR<MatrixType>& FullPivHouseholderQR<MatrixType>::compute(cons
     m_rows_transpositions.coeffRef(k) = row_of_biggest_in_corner;
     cols_transpositions.coeffRef(k) = col_of_biggest_in_corner;
     if(k != row_of_biggest_in_corner) {
-      m_qr.row(k).end(cols-k).swap(m_qr.row(row_of_biggest_in_corner).end(cols-k));
+      m_qr.row(k).tail(cols-k).swap(m_qr.row(row_of_biggest_in_corner).tail(cols-k));
       ++number_of_transpositions;
     }
     if(k != col_of_biggest_in_corner) {
@@ -315,11 +315,11 @@ FullPivHouseholderQR<MatrixType>& FullPivHouseholderQR<MatrixType>::compute(cons
     }
 
     RealScalar beta;
-    m_qr.col(k).end(rows-k).makeHouseholderInPlace(m_hCoeffs.coeffRef(k), beta);
+    m_qr.col(k).tail(rows-k).makeHouseholderInPlace(m_hCoeffs.coeffRef(k), beta);
     m_qr.coeffRef(k,k) = beta;
 
     m_qr.corner(BottomRight, rows-k, cols-k-1)
-        .applyHouseholderOnTheLeft(m_qr.col(k).end(rows-k-1), m_hCoeffs.coeffRef(k), &temp.coeffRef(k+1));
+        .applyHouseholderOnTheLeft(m_qr.col(k).tail(rows-k-1), m_hCoeffs.coeffRef(k), &temp.coeffRef(k+1));
   }
 
   m_cols_permutation.setIdentity(cols);
@@ -360,7 +360,7 @@ struct ei_solve_retval<FullPivHouseholderQR<_MatrixType>, Rhs>
       int remainingSize = rows-k;
       c.row(k).swap(c.row(dec().rowsTranspositions().coeff(k)));
       c.corner(BottomRight, remainingSize, rhs().cols())
-       .applyHouseholderOnTheLeft(dec().matrixQR().col(k).end(remainingSize-1),
+       .applyHouseholderOnTheLeft(dec().matrixQR().col(k).tail(remainingSize-1),
                                   dec().hCoeffs().coeff(k), &temp.coeffRef(0));
     }
 
@@ -400,7 +400,7 @@ typename FullPivHouseholderQR<MatrixType>::MatrixQType FullPivHouseholderQR<Matr
   for (int k = size-1; k >= 0; k--)
   {
     res.block(k, k, rows-k, rows-k)
-       .applyHouseholderOnTheLeft(m_qr.col(k).end(rows-k-1), ei_conj(m_hCoeffs.coeff(k)), &temp.coeffRef(k));
+       .applyHouseholderOnTheLeft(m_qr.col(k).tail(rows-k-1), ei_conj(m_hCoeffs.coeff(k)), &temp.coeffRef(k));
     res.row(k).swap(res.row(m_rows_transpositions.coeff(k)));
   }
   return res;
diff --git a/Eigen/src/QR/HouseholderQR.h b/Eigen/src/QR/HouseholderQR.h
index 95496b943..8add0dcd5 100644
--- a/Eigen/src/QR/HouseholderQR.h
+++ b/Eigen/src/QR/HouseholderQR.h
@@ -197,12 +197,12 @@ HouseholderQR<MatrixType>& HouseholderQR<MatrixType>::compute(const MatrixType&
     int remainingCols = cols - k - 1;
 
     RealScalar beta;
-    m_qr.col(k).end(remainingRows).makeHouseholderInPlace(m_hCoeffs.coeffRef(k), beta);
+    m_qr.col(k).tail(remainingRows).makeHouseholderInPlace(m_hCoeffs.coeffRef(k), beta);
     m_qr.coeffRef(k,k) = beta;
 
     // apply H to remaining part of m_qr from the left
     m_qr.corner(BottomRight, remainingRows, remainingCols)
-        .applyHouseholderOnTheLeft(m_qr.col(k).end(remainingRows-1), m_hCoeffs.coeffRef(k), &temp.coeffRef(k+1));
+        .applyHouseholderOnTheLeft(m_qr.col(k).tail(remainingRows-1), m_hCoeffs.coeffRef(k), &temp.coeffRef(k+1));
   }
   m_isInitialized = true;
   return *this;
@@ -226,7 +226,7 @@ struct ei_solve_retval<HouseholderQR<_MatrixType>, Rhs>
     // Note that the matrix Q = H_0^* H_1^*... so its inverse is Q^* = (H_0 H_1 ...)^T
     c.applyOnTheLeft(householderSequence(
       dec().matrixQR().corner(TopLeft,rows,rank),
-      dec().hCoeffs().start(rank)).transpose()
+      dec().hCoeffs().head(rank)).transpose()
     );
 
     dec().matrixQR()
diff --git a/Eigen/src/SVD/JacobiSVD.h b/Eigen/src/SVD/JacobiSVD.h
index 5792c5767..d2cd8e478 100644
--- a/Eigen/src/SVD/JacobiSVD.h
+++ b/Eigen/src/SVD/JacobiSVD.h
@@ -342,7 +342,7 @@ JacobiSVD<MatrixType, Options>& JacobiSVD<MatrixType, Options>::compute(const Ma
   for(int i = 0; i < diagSize; i++)
   {
     int pos;
-    m_singularValues.end(diagSize-i).maxCoeff(&pos);
+    m_singularValues.tail(diagSize-i).maxCoeff(&pos);
     if(pos)
     {
       pos += i;
diff --git a/Eigen/src/SVD/SVD.h b/Eigen/src/SVD/SVD.h
index 0ec41e36d..c1b14128c 100644
--- a/Eigen/src/SVD/SVD.h
+++ b/Eigen/src/SVD/SVD.h
@@ -205,7 +205,7 @@ SVD<MatrixType>& SVD<MatrixType>::compute(const MatrixType& matrix)
     g = s = scale = 0.0;
     if (i < m)
     {
-      scale = A.col(i).end(m-i).cwise().abs().sum();
+      scale = A.col(i).tail(m-i).cwise().abs().sum();
       if (scale != Scalar(0))
       {
         for (k=i; k<m; k++)
@@ -219,18 +219,18 @@ SVD<MatrixType>& SVD<MatrixType>::compute(const MatrixType& matrix)
         A(i, i)=f-g;
         for (j=l-1; j<n; j++)
         {
-          s = A.col(j).end(m-i).dot(A.col(i).end(m-i));
+          s = A.col(j).tail(m-i).dot(A.col(i).tail(m-i));
           f = s/h;
-          A.col(j).end(m-i) += f*A.col(i).end(m-i);
+          A.col(j).tail(m-i) += f*A.col(i).tail(m-i);
         }
-        A.col(i).end(m-i) *= scale;
+        A.col(i).tail(m-i) *= scale;
       }
     }
     W[i] = scale * g;
     g = s = scale = 0.0;
     if (i+1 <= m && i+1 != n)
     {
-      scale = A.row(i).end(n-l+1).cwise().abs().sum();
+      scale = A.row(i).tail(n-l+1).cwise().abs().sum();
       if (scale != Scalar(0))
       {
         for (k=l-1; k<n; k++)
@@ -242,13 +242,13 @@ SVD<MatrixType>& SVD<MatrixType>::compute(const MatrixType& matrix)
         g = -sign(ei_sqrt(s),f);
         h = f*g - s;
         A(i,l-1) = f-g;
-        rv1.end(n-l+1) = A.row(i).end(n-l+1)/h;
+        rv1.tail(n-l+1) = A.row(i).tail(n-l+1)/h;
         for (j=l-1; j<m; j++)
         {
-          s = A.row(i).end(n-l+1).dot(A.row(j).end(n-l+1));
-          A.row(j).end(n-l+1) += s*rv1.end(n-l+1).transpose();
+          s = A.row(i).tail(n-l+1).dot(A.row(j).tail(n-l+1));
+          A.row(j).tail(n-l+1) += s*rv1.tail(n-l+1).transpose();
         }
-        A.row(i).end(n-l+1) *= scale;
+        A.row(i).tail(n-l+1) *= scale;
       }
     }
     anorm = std::max( anorm, (ei_abs(W[i])+ei_abs(rv1[i])) );
@@ -265,12 +265,12 @@ SVD<MatrixType>& SVD<MatrixType>::compute(const MatrixType& matrix)
           V(j, i) = (A(i, j)/A(i, l))/g;
         for (j=l; j<n; j++)
         {
-          s = V.col(j).end(n-l).dot(A.row(i).end(n-l));
-          V.col(j).end(n-l) += s * V.col(i).end(n-l);
+          s = V.col(j).tail(n-l).dot(A.row(i).tail(n-l));
+          V.col(j).tail(n-l) += s * V.col(i).tail(n-l);
         }
       }
-      V.row(i).end(n-l).setZero();
-      V.col(i).end(n-l).setZero();
+      V.row(i).tail(n-l).setZero();
+      V.col(i).tail(n-l).setZero();
     }
     V(i, i) = 1.0;
     g = rv1[i];
@@ -282,7 +282,7 @@ SVD<MatrixType>& SVD<MatrixType>::compute(const MatrixType& matrix)
     l = i+1;
     g = W[i];
     if (n-l>0)
-      A.row(i).end(n-l).setZero();
+      A.row(i).tail(n-l).setZero();
     if (g != Scalar(0.0))
     {
       g = Scalar(1.0)/g;
@@ -290,15 +290,15 @@ SVD<MatrixType>& SVD<MatrixType>::compute(const MatrixType& matrix)
       {
         for (j=l; j<n; j++)
         {
-          s = A.col(j).end(m-l).dot(A.col(i).end(m-l));
+          s = A.col(j).tail(m-l).dot(A.col(i).tail(m-l));
           f = (s/A(i,i))*g;
-          A.col(j).end(m-i) += f * A.col(i).end(m-i);
+          A.col(j).tail(m-i) += f * A.col(i).tail(m-i);
         }
       }
-      A.col(i).end(m-i) *= g;
+      A.col(i).tail(m-i) *= g;
     }
     else
-      A.col(i).end(m-i).setZero();
+      A.col(i).tail(m-i).setZero();
     ++A(i,i);
   }
   // Diagonalization of the bidiagonal form: Loop over
@@ -408,7 +408,7 @@ SVD<MatrixType>& SVD<MatrixType>::compute(const MatrixType& matrix)
     for (int i=0; i<n; i++)
     {
       int k;
-      W.end(n-i).maxCoeff(&k);
+      W.tail(n-i).maxCoeff(&k);
       if (k != 0)
       {
         k += i;
@@ -451,8 +451,8 @@ struct ei_solve_retval<SVD<_MatrixType>, Rhs>
           aux.coeffRef(i) /= si;
       }
       const int minsize = std::min(dec().rows(),dec().cols());
-      dst.col(j).start(minsize) = aux.start(minsize);
-      if(dec().cols()>dec().rows()) dst.col(j).end(cols()-minsize).setZero();
+      dst.col(j).head(minsize) = aux.head(minsize);
+      if(dec().cols()>dec().rows()) dst.col(j).tail(cols()-minsize).setZero();
       dst.col(j) = dec().matrixV() * dst.col(j);
     }
   }