  Eigen | Namespace containing all symbols from the Eigen library |
  internal | |
 aligned_allocator | STL compatible allocator to use with with 16 byte aligned types |
| AlignedBox | An axis aligned box |
| AMDOrdering | |
| AngleAxis | Represents a 3D rotation as a rotation angle around an arbitrary 3D axis |
| Array | General-purpose arrays with easy API for coefficient-wise operations |
| ArrayBase | Base class for all 1D and 2D array, and related expressions |
| ArrayWrapper | Expression of a mathematical vector or matrix as an array object |
| ArrayXpr | |
| BiCGSTAB | A bi conjugate gradient stabilized solver for sparse square problems |
| Block | Expression of a fixed-size or dynamic-size block |
| BlockImpl< XprType, BlockRows, BlockCols, InnerPanel, Sparse > | |
| CholmodBase | The base class for the direct Cholesky factorization of Cholmod |
| CholmodDecomposition | A general Cholesky factorization and solver based on Cholmod |
| CholmodSimplicialLDLT | A simplicial direct Cholesky (LDLT) factorization and solver based on Cholmod |
| CholmodSimplicialLLT | A simplicial direct Cholesky (LLT) factorization and solver based on Cholmod |
| CholmodSupernodalLLT | A supernodal Cholesky (LLT) factorization and solver based on Cholmod |
| COLAMDOrdering | |
| ColPivHouseholderQR | Householder rank-revealing QR decomposition of a matrix with column-pivoting |
| CommaInitializer | Helper class used by the comma initializer operator |
| ComplexEigenSolver | Computes eigenvalues and eigenvectors of general complex matrices |
| ComplexSchur | Performs a complex Schur decomposition of a real or complex square matrix |
| ConjugateGradient | A conjugate gradient solver for sparse self-adjoint problems |
| CwiseBinaryOp | Generic expression where a coefficient-wise binary operator is applied to two expressions |
| CwiseNullaryOp | Generic expression of a matrix where all coefficients are defined by a functor |
| CwiseUnaryOp | Generic expression where a coefficient-wise unary operator is applied to an expression |
| CwiseUnaryView | Generic lvalue expression of a coefficient-wise unary operator of a matrix or a vector |
| Dense | |
| DenseBase | Base class for all dense matrices, vectors, and arrays |
| DenseCoeffsBase< Derived, DirectAccessors > | Base class providing direct read-only coefficient access to matrices and arrays |
| DenseCoeffsBase< Derived, DirectWriteAccessors > | Base class providing direct read/write coefficient access to matrices and arrays |
| DenseCoeffsBase< Derived, ReadOnlyAccessors > | Base class providing read-only coefficient access to matrices and arrays |
| DenseCoeffsBase< Derived, WriteAccessors > | Base class providing read/write coefficient access to matrices and arrays |
| Diagonal | Expression of a diagonal/subdiagonal/superdiagonal in a matrix |
| DiagonalMatrix | Represents a diagonal matrix with its storage |
| DiagonalPreconditioner | A preconditioner based on the digonal entries |
| DiagonalWrapper | Expression of a diagonal matrix |
| EigenBase | |
| EigenSolver | Computes eigenvalues and eigenvectors of general matrices |
| ForceAlignedAccess | Enforce aligned packet loads and stores regardless of what is requested |
| FullPivHouseholderQR | Householder rank-revealing QR decomposition of a matrix with full pivoting |
| FullPivLU | LU decomposition of a matrix with complete pivoting, and related features |
| GeneralizedEigenSolver | Computes the generalized eigenvalues and eigenvectors of a pair of general matrices |
| GeneralizedSelfAdjointEigenSolver | Computes eigenvalues and eigenvectors of the generalized selfadjoint eigen problem |
| GeneralProduct | Expression of the product of two general matrices or vectors |
| HessenbergDecomposition | Reduces a square matrix to Hessenberg form by an orthogonal similarity transformation |
| Homogeneous | Expression of one (or a set of) homogeneous vector(s) |
| HouseholderQR | Householder QR decomposition of a matrix |
| HouseholderSequence | Sequence of Householder reflections acting on subspaces with decreasing size |
| Hyperplane | A hyperplane |
| IdentityPreconditioner | A naive preconditioner which approximates any matrix as the identity matrix |
| IncompleteLUT | Incomplete LU factorization with dual-threshold strategy |
 keep_diag | |
| InnerStride | Convenience specialization of Stride to specify only an inner stride See class Map for some examples |
| IOFormat | Stores a set of parameters controlling the way matrices are printed |
| IterativeSolverBase | Base class for linear iterative solvers |
| JacobiRotation | Rotation given by a cosine-sine pair |
| JacobiSVD | Two-sided Jacobi SVD decomposition of a rectangular matrix |
| LDLT | Robust Cholesky decomposition of a matrix with pivoting |
| LLT | Standard Cholesky decomposition (LL^T) of a matrix and associated features |
| Map | A matrix or vector expression mapping an existing array of data |
| Map< const Quaternion< _Scalar >, _Options > | Quaternion expression mapping a constant memory buffer |
| Map< Quaternion< _Scalar >, _Options > | Expression of a quaternion from a memory buffer |
| MapBase | Base class for Map and Block expression with direct access |
| MappedSparseMatrix | Sparse matrix |
| Matrix | The matrix class, also used for vectors and row-vectors |
| MatrixBase | Base class for all dense matrices, vectors, and expressions |
| MatrixWrapper | Expression of an array as a mathematical vector or matrix |
| MatrixXpr | |
| MetisOrdering | |
| NaturalOrdering | |
| NestByValue | Expression which must be nested by value |
| NoAlias | Pseudo expression providing an operator = assuming no aliasing |
| NumTraits | Holds information about the various numeric (i.e. scalar) types allowed by Eigen |
| OuterStride | Convenience specialization of Stride to specify only an outer stride See class Map for some examples |
| ParametrizedLine | A parametrized line |
| PardisoLDLT | A sparse direct Cholesky (LDLT) factorization and solver based on the PARDISO library |
| PardisoLLT | A sparse direct Cholesky (LLT) factorization and solver based on the PARDISO library |
| PardisoLU | A sparse direct LU factorization and solver based on the PARDISO library |
| PartialPivLU | LU decomposition of a matrix with partial pivoting, and related features |
| PartialReduxExpr | Generic expression of a partially reduxed matrix |
| PastixLDLT | A sparse direct supernodal Cholesky (LLT) factorization and solver based on the PaStiX library |
| PastixLLT | A sparse direct supernodal Cholesky (LLT) factorization and solver based on the PaStiX library |
| PastixLU | Interface to the PaStix solver |
| PermutationBase | Base class for permutations |
| PermutationMatrix | Permutation matrix |
| PermutationWrapper | Class to view a vector of integers as a permutation matrix |
| PlainObjectBase | Dense storage base class for matrices and arrays |
| ProductReturnType | Helper class to get the correct and optimized returned type of operator* |
| Quaternion | The quaternion class used to represent 3D orientations and rotations |
| QuaternionBase | Base class for quaternion expressions |
| RealQZ | Performs a real QZ decomposition of a pair of square matrices |
| RealSchur | Performs a real Schur decomposition of a square matrix |
| Ref | A matrix or vector expression mapping an existing expressions |
| Replicate | Expression of the multiple replication of a matrix or vector |
| Reverse | Expression of the reverse of a vector or matrix |
| Rotation2D | Represents a rotation/orientation in a 2 dimensional space |
| RotationBase | Common base class for compact rotation representations |
| Select | Expression of a coefficient wise version of the C++ ternary operator ?: |
| SelfAdjointEigenSolver | Computes eigenvalues and eigenvectors of selfadjoint matrices |
| SelfAdjointView | Expression of a selfadjoint matrix from a triangular part of a dense matrix |
| SimplicialCholesky | |
| SimplicialCholeskyBase | A direct sparse Cholesky factorizations |
| keep_diag | |
| SimplicialLDLT | A direct sparse LDLT Cholesky factorizations without square root |
| SimplicialLLT | A direct sparse LLT Cholesky factorizations |
| Sparse | |
| SparseLU | Sparse supernodal LU factorization for general matrices |
| SparseMatrix | A versatible sparse matrix representation |
| SparseMatrixBase | Base class of any sparse matrices or sparse expressions |
| SparseQR | Sparse left-looking rank-revealing QR factorization |
| SparseSelfAdjointView | Pseudo expression to manipulate a triangular sparse matrix as a selfadjoint matrix |
| SparseVector | Sparse vector class |
| SPQR | Sparse QR factorization based on SuiteSparseQR library |
| Stride | Holds strides information for Map |
| SuperILU | A sparse direct incomplete LU factorization and solver based on the SuperLU library |
| SuperLU | A sparse direct LU factorization and solver based on the SuperLU library |
| SuperLUBase | The base class for the direct and incomplete LU factorization of SuperLU |
| Transform | Represents an homogeneous transformation in a N dimensional space |
| Translation | Represents a translation transformation |
| Transpose | Expression of the transpose of a matrix |
| Transpositions | Represents a sequence of transpositions (row/column interchange) |
| TriangularView | Base class for triangular part in a matrix |
| Tridiagonalization | Tridiagonal decomposition of a selfadjoint matrix |
| Triplet | A small structure to hold a non zero as a triplet (i,j,value) |
| UmfPackLU | A sparse LU factorization and solver based on UmfPack |
| VectorBlock | Expression of a fixed-size or dynamic-size sub-vector |
| VectorwiseOp | Pseudo expression providing partial reduction operations |
| WithFormat | Pseudo expression providing matrix output with given format |
| Scaling | Represents a generic uniform scaling transformation |
1.8.5