Eigen  3.2.7
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Eigen Namespace Reference

Namespace containing all symbols from the Eigen library. More...

Namespaces

 internal
 

Classes

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

Typedefs

typedef Transform< double,
2, Affine
Affine2d
 
typedef Transform< float,
2, Affine
Affine2f
 
typedef Transform< double,
3, Affine
Affine3d
 
typedef Transform< float,
3, Affine
Affine3f
 
typedef Transform< double,
2, AffineCompact
AffineCompact2d
 
typedef Transform< float,
2, AffineCompact
AffineCompact2f
 
typedef Transform< double,
3, AffineCompact
AffineCompact3d
 
typedef Transform< float,
3, AffineCompact
AffineCompact3f
 
typedef AlignedBox< double, 1 > AlignedBox1d
 
typedef AlignedBox< float, 1 > AlignedBox1f
 
typedef AlignedBox< int, 1 > AlignedBox1i
 
typedef AlignedBox< double, 2 > AlignedBox2d
 
typedef AlignedBox< float, 2 > AlignedBox2f
 
typedef AlignedBox< int, 2 > AlignedBox2i
 
typedef AlignedBox< double, 3 > AlignedBox3d
 
typedef AlignedBox< float, 3 > AlignedBox3f
 
typedef AlignedBox< int, 3 > AlignedBox3i
 
typedef AlignedBox< double, 4 > AlignedBox4d
 
typedef AlignedBox< float, 4 > AlignedBox4f
 
typedef AlignedBox< int, 4 > AlignedBox4i
 
typedef AlignedBox< double,
Dynamic
AlignedBoxXd
 
typedef AlignedBox< float,
Dynamic
AlignedBoxXf
 
typedef AlignedBox< int, DynamicAlignedBoxXi
 
typedef DiagonalMatrix< double, 2 > AlignedScaling2d
 
typedef DiagonalMatrix< float, 2 > AlignedScaling2f
 
typedef DiagonalMatrix< double, 3 > AlignedScaling3d
 
typedef DiagonalMatrix< float, 3 > AlignedScaling3f
 
typedef AngleAxis< double > AngleAxisd
 
typedef AngleAxis< float > AngleAxisf
 
typedef Transform< double,
2, Isometry
Isometry2d
 
typedef Transform< float,
2, Isometry
Isometry2f
 
typedef Transform< double,
3, Isometry
Isometry3d
 
typedef Transform< float,
3, Isometry
Isometry3f
 
typedef Matrix< std::complex
< double >, 2, 2 > 
Matrix2cd
 
typedef Matrix< std::complex
< float >, 2, 2 > 
Matrix2cf
 
typedef Matrix< double, 2, 2 > Matrix2d
 
typedef Matrix< float, 2, 2 > Matrix2f
 
typedef Matrix< int, 2, 2 > Matrix2i
 
typedef Matrix< std::complex
< double >, 2, Dynamic
Matrix2Xcd
 
typedef Matrix< std::complex
< float >, 2, Dynamic
Matrix2Xcf
 
typedef Matrix< double,
2, Dynamic
Matrix2Xd
 
typedef Matrix< float, 2, DynamicMatrix2Xf
 
typedef Matrix< int, 2, DynamicMatrix2Xi
 
typedef Matrix< std::complex
< double >, 3, 3 > 
Matrix3cd
 
typedef Matrix< std::complex
< float >, 3, 3 > 
Matrix3cf
 
typedef Matrix< double, 3, 3 > Matrix3d
 
typedef Matrix< float, 3, 3 > Matrix3f
 
typedef Matrix< int, 3, 3 > Matrix3i
 
typedef Matrix< std::complex
< double >, 3, Dynamic
Matrix3Xcd
 
typedef Matrix< std::complex
< float >, 3, Dynamic
Matrix3Xcf
 
typedef Matrix< double,
3, Dynamic
Matrix3Xd
 
typedef Matrix< float, 3, DynamicMatrix3Xf
 
typedef Matrix< int, 3, DynamicMatrix3Xi
 
typedef Matrix< std::complex
< double >, 4, 4 > 
Matrix4cd
 
typedef Matrix< std::complex
< float >, 4, 4 > 
Matrix4cf
 
typedef Matrix< double, 4, 4 > Matrix4d
 
typedef Matrix< float, 4, 4 > Matrix4f
 
typedef Matrix< int, 4, 4 > Matrix4i
 
typedef Matrix< std::complex
< double >, 4, Dynamic
Matrix4Xcd
 
typedef Matrix< std::complex
< float >, 4, Dynamic
Matrix4Xcf
 
typedef Matrix< double,
4, Dynamic
Matrix4Xd
 
typedef Matrix< float, 4, DynamicMatrix4Xf
 
typedef Matrix< int, 4, DynamicMatrix4Xi
 
typedef Matrix< std::complex
< double >, Dynamic, 2 > 
MatrixX2cd
 
typedef Matrix< std::complex
< float >, Dynamic, 2 > 
MatrixX2cf
 
typedef Matrix< double,
Dynamic, 2 > 
MatrixX2d
 
typedef Matrix< float, Dynamic, 2 > MatrixX2f
 
typedef Matrix< int, Dynamic, 2 > MatrixX2i
 
typedef Matrix< std::complex
< double >, Dynamic, 3 > 
MatrixX3cd
 
typedef Matrix< std::complex
< float >, Dynamic, 3 > 
MatrixX3cf
 
typedef Matrix< double,
Dynamic, 3 > 
MatrixX3d
 
typedef Matrix< float, Dynamic, 3 > MatrixX3f
 
typedef Matrix< int, Dynamic, 3 > MatrixX3i
 
typedef Matrix< std::complex
< double >, Dynamic, 4 > 
MatrixX4cd
 
typedef Matrix< std::complex
< float >, Dynamic, 4 > 
MatrixX4cf
 
typedef Matrix< double,
Dynamic, 4 > 
MatrixX4d
 
typedef Matrix< float, Dynamic, 4 > MatrixX4f
 
typedef Matrix< int, Dynamic, 4 > MatrixX4i
 
typedef Matrix< std::complex
< double >, Dynamic, Dynamic
MatrixXcd
 
typedef Matrix< std::complex
< float >, Dynamic, Dynamic
MatrixXcf
 
typedef Matrix< double,
Dynamic, Dynamic
MatrixXd
 
typedef Matrix< float, Dynamic,
Dynamic
MatrixXf
 
typedef Matrix< int, Dynamic,
Dynamic
MatrixXi
 
typedef Transform< double,
2, Projective
Projective2d
 
typedef Transform< float,
2, Projective
Projective2f
 
typedef Transform< double,
3, Projective
Projective3d
 
typedef Transform< float,
3, Projective
Projective3f
 
typedef Quaternion< double > Quaterniond
 
typedef Quaternion< float > Quaternionf
 
typedef Map< Quaternion
< double >, Aligned
QuaternionMapAlignedd
 
typedef Map< Quaternion< float >
, Aligned
QuaternionMapAlignedf
 
typedef Map< Quaternion
< double >, 0 > 
QuaternionMapd
 
typedef Map< Quaternion< float >, 0 > QuaternionMapf
 
typedef Rotation2D< double > Rotation2Dd
 
typedef Rotation2D< float > Rotation2Df
 
typedef Matrix< std::complex
< double >, 1, 2 > 
RowVector2cd
 
typedef Matrix< std::complex
< float >, 1, 2 > 
RowVector2cf
 
typedef Matrix< double, 1, 2 > RowVector2d
 
typedef Matrix< float, 1, 2 > RowVector2f
 
typedef Matrix< int, 1, 2 > RowVector2i
 
typedef Matrix< std::complex
< double >, 1, 3 > 
RowVector3cd
 
typedef Matrix< std::complex
< float >, 1, 3 > 
RowVector3cf
 
typedef Matrix< double, 1, 3 > RowVector3d
 
typedef Matrix< float, 1, 3 > RowVector3f
 
typedef Matrix< int, 1, 3 > RowVector3i
 
typedef Matrix< std::complex
< double >, 1, 4 > 
RowVector4cd
 
typedef Matrix< std::complex
< float >, 1, 4 > 
RowVector4cf
 
typedef Matrix< double, 1, 4 > RowVector4d
 
typedef Matrix< float, 1, 4 > RowVector4f
 
typedef Matrix< int, 1, 4 > RowVector4i
 
typedef Matrix< std::complex
< double >, 1, Dynamic
RowVectorXcd
 
typedef Matrix< std::complex
< float >, 1, Dynamic
RowVectorXcf
 
typedef Matrix< double,
1, Dynamic
RowVectorXd
 
typedef Matrix< float, 1, DynamicRowVectorXf
 
typedef Matrix< int, 1, DynamicRowVectorXi
 
typedef Matrix< std::complex
< double >, 2, 1 > 
Vector2cd
 
typedef Matrix< std::complex
< float >, 2, 1 > 
Vector2cf
 
typedef Matrix< double, 2, 1 > Vector2d
 
typedef Matrix< float, 2, 1 > Vector2f
 
typedef Matrix< int, 2, 1 > Vector2i
 
typedef Matrix< std::complex
< double >, 3, 1 > 
Vector3cd
 
typedef Matrix< std::complex
< float >, 3, 1 > 
Vector3cf
 
typedef Matrix< double, 3, 1 > Vector3d
 
typedef Matrix< float, 3, 1 > Vector3f
 
typedef Matrix< int, 3, 1 > Vector3i
 
typedef Matrix< std::complex
< double >, 4, 1 > 
Vector4cd
 
typedef Matrix< std::complex
< float >, 4, 1 > 
Vector4cf
 
typedef Matrix< double, 4, 1 > Vector4d
 
typedef Matrix< float, 4, 1 > Vector4f
 
typedef Matrix< int, 4, 1 > Vector4i
 
typedef Matrix< std::complex
< double >, Dynamic, 1 > 
VectorXcd
 
typedef Matrix< std::complex
< float >, Dynamic, 1 > 
VectorXcf
 
typedef Matrix< double,
Dynamic, 1 > 
VectorXd
 
typedef Matrix< float, Dynamic, 1 > VectorXf
 
typedef Matrix< int, Dynamic, 1 > VectorXi
 

Enumerations

enum  {
  Lower,
  Upper,
  UnitDiag,
  ZeroDiag,
  UnitLower,
  UnitUpper,
  StrictlyLower,
  StrictlyUpper,
  SelfAdjoint,
  Symmetric
}
 
enum  {
  Unaligned,
  Aligned
}
 
enum  {
  ColMajor,
  RowMajor,
  AutoAlign,
  DontAlign
}
 
enum  {
  OnTheLeft,
  OnTheRight
}
 
enum  AccessorLevels {
  ReadOnlyAccessors,
  WriteAccessors,
  DirectAccessors,
  DirectWriteAccessors
}
 
enum  ComputationInfo {
  Success,
  NumericalIssue,
  NoConvergence,
  InvalidInput
}
 
enum  CornerType
 
enum  DecompositionOptions { ,
  ComputeFullU,
  ComputeThinU,
  ComputeFullV,
  ComputeThinV,
  EigenvaluesOnly,
  ComputeEigenvectors ,
  Ax_lBx,
  ABx_lx,
  BAx_lx
}
 
enum  DirectionType {
  Vertical,
  Horizontal,
  BothDirections
}
 
enum  QRPreconditioners {
  NoQRPreconditioner,
  HouseholderQRPreconditioner,
  ColPivHouseholderQRPreconditioner,
  FullPivHouseholderQRPreconditioner
}
 
enum  TransformTraits {
  Isometry,
  Affine,
  AffineCompact,
  Projective
}
 

Functions

template<typename VectorsType , typename CoeffsType >
HouseholderSequence
< VectorsType, CoeffsType > 
householderSequence (const VectorsType &v, const CoeffsType &h)
 Convenience function for constructing a Householder sequence. More...
 
void initParallel ()
 
std::ptrdiff_t l1CacheSize ()
 
std::ptrdiff_t l2CacheSize ()
 
int nbThreads ()
 
template<typename SparseDerived , typename PermDerived >
const
internal::permut_sparsematrix_product_retval
< PermutationBase< PermDerived >
, SparseDerived, OnTheRight,
false > 
operator* (const SparseMatrixBase< SparseDerived > &matrix, const PermutationBase< PermDerived > &perm)
 
template<typename SparseDerived , typename PermDerived >
const
internal::permut_sparsematrix_product_retval
< PermutationBase< PermDerived >
, SparseDerived, OnTheLeft,
false > 
operator* (const PermutationBase< PermDerived > &perm, const SparseMatrixBase< SparseDerived > &matrix)
 
template<typename SparseDerived , typename PermDerived >
const
internal::permut_sparsematrix_product_retval
< PermutationBase< PermDerived >
, SparseDerived, OnTheRight,
true > 
operator* (const SparseMatrixBase< SparseDerived > &matrix, const Transpose< PermutationBase< PermDerived > > &tperm)
 
template<typename SparseDerived , typename PermDerived >
const
internal::permut_sparsematrix_product_retval
< PermutationBase< PermDerived >
, SparseDerived, OnTheLeft,
true > 
operator* (const Transpose< PermutationBase< PermDerived > > &tperm, const SparseMatrixBase< SparseDerived > &matrix)
 
template<typename Derived , typename TranspositionsDerived >
const
internal::transposition_matrix_product_retval
< TranspositionsDerived,
Derived, OnTheRight
operator* (const MatrixBase< Derived > &matrix, const TranspositionsBase< TranspositionsDerived > &transpositions)
 
template<typename Derived , typename TranspositionDerived >
const
internal::transposition_matrix_product_retval
< TranspositionDerived,
Derived, OnTheLeft
operator* (const TranspositionsBase< TranspositionDerived > &transpositions, const MatrixBase< Derived > &matrix)
 
template<typename OtherDerived , typename VectorsType , typename CoeffsType , int Side>
internal::matrix_type_times_scalar_type
< typename VectorsType::Scalar,
OtherDerived >::Type 
operator* (const MatrixBase< OtherDerived > &other, const HouseholderSequence< VectorsType, CoeffsType, Side > &h)
 Computes the product of a matrix with a Householder sequence. More...
 
template<typename Derived , typename PermutationDerived >
const
internal::permut_matrix_product_retval
< PermutationDerived, Derived,
OnTheRight
operator* (const MatrixBase< Derived > &matrix, const PermutationBase< PermutationDerived > &permutation)
 
template<typename Derived , typename PermutationDerived >
const
internal::permut_matrix_product_retval
< PermutationDerived, Derived,
OnTheLeft
operator* (const PermutationBase< PermutationDerived > &permutation, const MatrixBase< Derived > &matrix)
 
template<typename Derived >
const Eigen::CwiseUnaryOp
< Eigen::internal::scalar_inverse_mult_op
< typename Derived::Scalar >
, const Derived > 
operator/ (const typename Derived::Scalar &s, const Eigen::ArrayBase< Derived > &a)
 Component-wise division of a scalar by array elements.
 
template<typename VectorsType , typename CoeffsType >
HouseholderSequence
< VectorsType, CoeffsType,
OnTheRight
rightHouseholderSequence (const VectorsType &v, const CoeffsType &h)
 Convenience function for constructing a Householder sequence. More...
 
void setCpuCacheSizes (std::ptrdiff_t l1, std::ptrdiff_t l2)
 
void setNbThreads (int v)
 
template<typename Derived , typename OtherDerived >
internal::umeyama_transform_matrix_type
< Derived, OtherDerived >
::type 
umeyama (const MatrixBase< Derived > &src, const MatrixBase< OtherDerived > &dst, bool with_scaling=true)
 Returns the transformation between two point sets. More...
 
template<typename _Scalar , int _Options, typename _Index >
cholmod_sparse viewAsCholmod (SparseMatrix< _Scalar, _Options, _Index > &mat)
 
template<typename _Scalar , int _Options, typename _Index , unsigned int UpLo>
cholmod_sparse viewAsCholmod (const SparseSelfAdjointView< SparseMatrix< _Scalar, _Options, _Index >, UpLo > &mat)
 
template<typename Derived >
cholmod_dense viewAsCholmod (MatrixBase< Derived > &mat)
 
template<typename Scalar , int Flags, typename Index >
MappedSparseMatrix< Scalar,
Flags, Index > 
viewAsEigen (cholmod_sparse &cm)
 

Variables

const unsigned int ActualPacketAccessBit
 
const unsigned int AlignedBit
 
const unsigned int DirectAccessBit
 
const int Dynamic
 
const int DynamicIndex
 
const unsigned int EvalBeforeAssigningBit
 
const unsigned int EvalBeforeNestingBit
 
const int Infinity
 
const unsigned int LinearAccessBit
 
const unsigned int LvalueBit
 
const unsigned int PacketAccessBit
 
const unsigned int RowMajorBit
 

Detailed Description

Namespace containing all symbols from the Eigen library.

Function Documentation

void Eigen::initParallel ( )
inline

Must be call first when calling Eigen from multiple threads

std::ptrdiff_t Eigen::l1CacheSize ( )
inline
Returns
the currently set level 1 cpu cache size (in bytes) used to estimate the ideal blocking size parameters.
See Also
setCpuCacheSize
std::ptrdiff_t Eigen::l2CacheSize ( )
inline
Returns
the currently set level 2 cpu cache size (in bytes) used to estimate the ideal blocking size parameters.
See Also
setCpuCacheSize
int Eigen::nbThreads ( )
inline
Returns
the max number of threads reserved for Eigen
See Also
setNbThreads
const internal::permut_sparsematrix_product_retval<PermutationBase<PermDerived>, SparseDerived, OnTheRight, false> Eigen::operator* ( const SparseMatrixBase< SparseDerived > &  matrix,
const PermutationBase< PermDerived > &  perm 
)
inline
Returns
the matrix with the permutation applied to the columns

References EigenBase< Derived >::derived(), and OnTheRight.

const internal::permut_sparsematrix_product_retval<PermutationBase<PermDerived>, SparseDerived, OnTheLeft, false> Eigen::operator* ( const PermutationBase< PermDerived > &  perm,
const SparseMatrixBase< SparseDerived > &  matrix 
)
inline
Returns
the matrix with the permutation applied to the rows

References EigenBase< Derived >::derived(), and OnTheLeft.

const internal::permut_sparsematrix_product_retval<PermutationBase<PermDerived>, SparseDerived, OnTheRight, true> Eigen::operator* ( const SparseMatrixBase< SparseDerived > &  matrix,
const Transpose< PermutationBase< PermDerived > > &  tperm 
)
inline
Returns
the matrix with the inverse permutation applied to the columns.

References EigenBase< Derived >::derived(), and OnTheRight.

const internal::permut_sparsematrix_product_retval<PermutationBase<PermDerived>, SparseDerived, OnTheLeft, true> Eigen::operator* ( const Transpose< PermutationBase< PermDerived > > &  tperm,
const SparseMatrixBase< SparseDerived > &  matrix 
)
inline
Returns
the matrix with the inverse permutation applied to the rows.

References EigenBase< Derived >::derived(), and OnTheLeft.

const internal::transposition_matrix_product_retval<TranspositionsDerived, Derived, OnTheRight> Eigen::operator* ( const MatrixBase< Derived > &  matrix,
const TranspositionsBase< TranspositionsDerived > &  transpositions 
)
inline
Returns
the matrix with the transpositions applied to the columns.

References OnTheRight.

const internal::transposition_matrix_product_retval<TranspositionDerived, Derived, OnTheLeft> Eigen::operator* ( const TranspositionsBase< TranspositionDerived > &  transpositions,
const MatrixBase< Derived > &  matrix 
)
inline
Returns
the matrix with the transpositions applied to the rows.

References OnTheLeft.

internal::matrix_type_times_scalar_type<typename VectorsType::Scalar,OtherDerived>::Type Eigen::operator* ( const MatrixBase< OtherDerived > &  other,
const HouseholderSequence< VectorsType, CoeffsType, Side > &  h 
)

Computes the product of a matrix with a Householder sequence.

Parameters
[in]otherMatrix being multiplied.
[in]hHouseholderSequence being multiplied.
Returns
Expression object representing the product.

This function computes $ MH $ where $ M $ is the matrix other and $ H $ is the Householder sequence represented by h.

const internal::permut_matrix_product_retval<PermutationDerived, Derived, OnTheRight> Eigen::operator* ( const MatrixBase< Derived > &  matrix,
const PermutationBase< PermutationDerived > &  permutation 
)
inline
Returns
the matrix with the permutation applied to the columns.

References EigenBase< Derived >::derived(), and OnTheRight.

const internal::permut_matrix_product_retval<PermutationDerived, Derived, OnTheLeft> Eigen::operator* ( const PermutationBase< PermutationDerived > &  permutation,
const MatrixBase< Derived > &  matrix 
)
inline
Returns
the matrix with the permutation applied to the rows.

References EigenBase< Derived >::derived(), and OnTheLeft.

void Eigen::setCpuCacheSizes ( std::ptrdiff_t  l1,
std::ptrdiff_t  l2 
)
inline

Set the cpu L1 and L2 cache sizes (in bytes). These values are use to adjust the size of the blocks for the algorithms working per blocks.

See Also
computeProductBlockingSizes
void Eigen::setNbThreads ( int  v)
inline

Sets the max number of threads reserved for Eigen

See Also
nbThreads
cholmod_sparse Eigen::viewAsCholmod ( const SparseSelfAdjointView< SparseMatrix< _Scalar, _Options, _Index >, UpLo > &  mat)

Returns a view of the Eigen sparse matrix mat as Cholmod sparse matrix. The data are not copied but shared.

References Lower, Upper, and viewAsCholmod().

cholmod_dense Eigen::viewAsCholmod ( MatrixBase< Derived > &  mat)

Returns a view of the Eigen dense matrix mat as Cholmod dense matrix. The data are not copied but shared.

References RowMajorBit.

MappedSparseMatrix<Scalar,Flags,Index> Eigen::viewAsEigen ( cholmod_sparse &  cm)

Returns a view of the Cholmod sparse matrix cm as an Eigen sparse matrix. The data are not copied but shared.

Variable Documentation

const int DynamicIndex

This value means that a signed quantity (e.g., a signed index) is not known at compile-time, and that instead its value has to be specified at runtime.

const int Infinity

This value means +Infinity; it is currently used only as the p parameter to MatrixBase::lpNorm<int>(). The value Infinity there means the L-infinity norm.