|
vigra::linalg Namespace Reference |  |
Linear algebra functions. More...
Classes | |
| class | LeastAngleRegressionOptions |
| Pass options to leastAngleRegression(). More... | |
| class | Matrix |
Functions | |
| template<class T , class C > | |
| linalg::TemporaryMatrix< T > | abs (MultiArrayView< 2, T, C > const &v) |
| template<class T , class C > | |
| linalg::TemporaryMatrix< T > | acos (MultiArrayView< 2, T, C > const &v) |
| template<class T , class C1 , class C2 , class C3 > | |
| void | add (const MultiArrayView< 2, T, C1 > &a, const MultiArrayView< 2, T, C2 > &b, MultiArrayView< 2, T, C3 > &r) |
| template<class T , class C > | |
| int | argMax (MultiArrayView< 2, T, C > const &a) |
| Find the index of the maximum element in a matrix. More... | |
| template<class T , class C , class UnaryFunctor > | |
| int | argMaxIf (MultiArrayView< 2, T, C > const &a, UnaryFunctor condition) |
| Find the index of the maximum element in a matrix subject to a condition. More... | |
| template<class T , class C > | |
| int | argMin (MultiArrayView< 2, T, C > const &a) |
| Find the index of the minimum element in a matrix. More... | |
| template<class T , class C , class UnaryFunctor > | |
| int | argMinIf (MultiArrayView< 2, T, C > const &a, UnaryFunctor condition) |
| Find the index of the minimum element in a matrix subject to a condition. More... | |
| template<class T , class C > | |
| linalg::TemporaryMatrix< T > | asin (MultiArrayView< 2, T, C > const &v) |
| template<class T , class C > | |
| linalg::TemporaryMatrix< T > | atan (MultiArrayView< 2, T, C > const &v) |
| template<class T , class C > | |
| linalg::TemporaryMatrix< T > | ceil (MultiArrayView< 2, T, C > const &v) |
| template<class T , class C1 , class C2 > | |
| bool | choleskyDecomposition (MultiArrayView< 2, T, C1 > const &A, MultiArrayView< 2, T, C2 > &L) |
| template<class T , class C1 , class C2 , class C3 > | |
| void | choleskySolve (MultiArrayView< 2, T, C1 > const &L, MultiArrayView< 2, T, C2 > const &b, MultiArrayView< 2, T, C3 > &x) |
| template<class T , class C > | |
| MultiArrayIndex | columnCount (const MultiArrayView< 2, T, C > &x) |
| template<... > | |
| void | columnStatistics (...) |
| template<class T , class C > | |
| MultiArrayView< 2, T, C > | columnVector (MultiArrayView< 2, T, C > const &m, MultiArrayIndex d) |
| template<class T , class C > | |
| MultiArrayView< 2, T, C > | columnVector (MultiArrayView< 2, T, C > const &m, MultiArrayShape< 2 >::type first, int end) |
| template<class T , class C > | |
| linalg::TemporaryMatrix< T > | cos (MultiArrayView< 2, T, C > const &v) |
| template<class T1 , class C1 , class T2 , class C2 > | |
| void | covarianceMatrixOfColumns (MultiArrayView< 2, T1, C1 > const &features, MultiArrayView< 2, T2, C2 > &covariance) |
| Compute the covariance matrix between the columns of a matrix features. More... | |
| template<class T , class C > | |
| TemporaryMatrix< T > | covarianceMatrixOfColumns (MultiArrayView< 2, T, C > const &features) |
| Compute the covariance matrix between the columns of a matrix features. More... | |
| template<class T1 , class C1 , class T2 , class C2 > | |
| void | covarianceMatrixOfRows (MultiArrayView< 2, T1, C1 > const &features, MultiArrayView< 2, T2, C2 > &covariance) |
| Compute the covariance matrix between the rows of a matrix features. More... | |
| template<class T , class C > | |
| TemporaryMatrix< T > | covarianceMatrixOfRows (MultiArrayView< 2, T, C > const &features) |
| Compute the covariance matrix between the rows of a matrix features. More... | |
| template<class T , class C1 , class C2 , class C3 > | |
| void | cross (const MultiArrayView< 1, T, C1 > &x, const MultiArrayView< 1, T, C2 > &y, MultiArrayView< 1, T, C3 > &r) |
| template<class T , class C1 , class C2 , class C3 > | |
| void | cross (const MultiArrayView< 2, T, C1 > &x, const MultiArrayView< 2, T, C2 > &y, MultiArrayView< 2, T, C3 > &r) |
| template<class T , class C1 , class C2 > | |
| TemporaryMatrix< T > | cross (const MultiArrayView< 2, T, C1 > &x, const MultiArrayView< 2, T, C2 > &y) |
| template<class T , class C1 > | |
| NumericTraits< T >::Promote | determinant (MultiArrayView< 2, T, C1 > const &a, std::string method="default") |
| template<class T , class C1 , class C2 > | |
| void | diagonalMatrix (MultiArrayView< 2, T, C1 > const &v, MultiArrayView< 2, T, C2 > &r) |
| template<class T , class C > | |
| TemporaryMatrix< T > | diagonalMatrix (MultiArrayView< 2, T, C > const &v) |
| template<class T , class C1 , class C2 > | |
| NormTraits< T >::SquaredNormType | dot (const MultiArrayView< 2, T, C1 > &x, const MultiArrayView< 2, T, C2 > &y) |
| template<class T , class C1 , class C2 > | |
| NormTraits< T >::SquaredNormType | dot (const MultiArrayView< 1, T, C1 > &x, const MultiArrayView< 1, T, C2 > &y) |
| template<class T , class C > | |
| linalg::TemporaryMatrix< T > | exp (MultiArrayView< 2, T, C > const &v) |
| template<class T , class C > | |
| linalg::TemporaryMatrix< T > | floor (MultiArrayView< 2, T, C > const &v) |
| template<class T , class C > | |
| void | identityMatrix (MultiArrayView< 2, T, C > &r) |
| template<class T > | |
| TemporaryMatrix< T > | identityMatrix (MultiArrayIndex size) |
| template<class T , class C1 , class C2 > | |
| bool | inverse (const MultiArrayView< 2, T, C1 > &v, MultiArrayView< 2, T, C2 > &res) |
| template<class T , class C > | |
| TemporaryMatrix< T > | inverse (const MultiArrayView< 2, T, C > &v) |
| template<class T , class C > | |
| bool | isSymmetric (const MultiArrayView< 2, T, C > &v) |
| template<class T , class C1 , class C2 > | |
| TemporaryMatrix< T > | joinHorizontally (const MultiArrayView< 2, T, C1 > &a, const MultiArrayView< 2, T, C2 > &b) |
| template<class T , class C1 , class C2 > | |
| TemporaryMatrix< T > | joinVertically (const MultiArrayView< 2, T, C1 > &a, const MultiArrayView< 2, T, C2 > &b) |
| template<... > | |
| unsigned int | leastAngleRegression (...) |
| template<class T , class C1 , class C2 , class C3 > | |
| bool | leastSquares (MultiArrayView< 2, T, C1 > const &A, MultiArrayView< 2, T, C2 > const &b, MultiArrayView< 2, T, C3 > &x, std::string method="QR") |
| template<... > | |
| bool | linearSolve (...) |
| template<class T , class C1 , class C2 , class C3 > | |
| bool | linearSolveLowerTriangular (const MultiArrayView< 2, T, C1 > &l, const MultiArrayView< 2, T, C2 > &b, MultiArrayView< 2, T, C3 > x) |
| template<class T , class C1 , class C2 , class C3 > | |
| bool | linearSolveUpperTriangular (const MultiArrayView< 2, T, C1 > &r, const MultiArrayView< 2, T, C2 > &b, MultiArrayView< 2, T, C3 > x) |
| template<class T , class C > | |
| linalg::TemporaryMatrix< T > | log (MultiArrayView< 2, T, C > const &v) |
| template<class T , class C > | |
| linalg::TemporaryMatrix< T > | log10 (MultiArrayView< 2, T, C > const &v) |
| template<class T , class C1 > | |
| T | logDeterminant (MultiArrayView< 2, T, C1 > const &a) |
| template<class T , class C1 , class C2 , class C3 > | |
| void | mmul (const MultiArrayView< 2, T, C1 > &a, const MultiArrayView< 2, T, C2 > &b, MultiArrayView< 2, T, C3 > &r) |
| template<class T , class C1 , class C2 > | |
| TemporaryMatrix< T > | mmul (const MultiArrayView< 2, T, C1 > &a, const MultiArrayView< 2, T, C2 > &b) |
| template<... > | |
| unsigned int | nonnegativeLeastSquares (...) |
| template<class T , class C1 , class C2 , class C3 > | |
| bool | nonsymmetricEigensystem (MultiArrayView< 2, T, C1 > const &a, MultiArrayView< 2, std::complex< T >, C2 > &ew, MultiArrayView< 2, T, C3 > &ev) |
| template<class T , class ALLOC > | |
| Matrix< T, ALLLOC >::NormType | norm (const Matrix< T, ALLLOC > &a) |
| template<class T > | |
| TemporaryMatrix< T > | ones (MultiArrayIndex rows, MultiArrayIndex cols) |
| template<class T , class C , class U > | |
| TemporaryMatrix< T > | operator* (const MultiArrayView< 2, T, C > &a, PointWise< U > b) |
| template<class T , class C > | |
| TemporaryMatrix< T > | operator* (const MultiArrayView< 2, T, C > &a, T b) |
| template<class T , class C > | |
| TemporaryMatrix< T > | operator* (T a, const MultiArrayView< 2, T, C > &b) |
| template<class T , class A , int N, class DATA , class DERIVED > | |
| TinyVector< T, N > | operator* (const Matrix< T, A > &a, const TinyVectorBase< T, N, DATA, DERIVED > &b) |
| template<class T , int N, class DATA , class DERIVED , class A > | |
| TinyVector< T, N > | operator* (const TinyVectorBase< T, N, DATA, DERIVED > &a, const Matrix< T, A > &b) |
| template<class T , class C1 , class C2 > | |
| TemporaryMatrix< T > | operator* (const MultiArrayView< 2, T, C1 > &a, const MultiArrayView< 2, T, C2 > &b) |
| template<class T , class C1 , class C2 > | |
| TemporaryMatrix< T > | operator+ (const MultiArrayView< 2, T, C1 > &a, const MultiArrayView< 2, T, C2 > &b) |
| template<class T , class C > | |
| TemporaryMatrix< T > | operator+ (const MultiArrayView< 2, T, C > &a, T b) |
| template<class T , class C > | |
| TemporaryMatrix< T > | operator+ (T a, const MultiArrayView< 2, T, C > &b) |
| template<class T , class C1 , class C2 > | |
| TemporaryMatrix< T > | operator- (const MultiArrayView< 2, T, C1 > &a, const MultiArrayView< 2, T, C2 > &b) |
| template<class T , class C > | |
| TemporaryMatrix< T > | operator- (const MultiArrayView< 2, T, C > &a) |
| template<class T , class C > | |
| TemporaryMatrix< T > | operator- (const MultiArrayView< 2, T, C > &a, T b) |
| template<class T , class C > | |
| TemporaryMatrix< T > | operator- (T a, const MultiArrayView< 2, T, C > &b) |
| template<class T , class C , class U > | |
| TemporaryMatrix< T > | operator/ (const MultiArrayView< 2, T, C > &a, PointWise< U > b) |
| template<class T , class C > | |
| TemporaryMatrix< T > | operator/ (const MultiArrayView< 2, T, C > &a, T b) |
| template<class T , class C > | |
| TemporaryMatrix< T > | operator/ (T a, const MultiArrayView< 2, T, C > &b) |
| template<class T , class C1 , class C2 , class C3 > | |
| void | outer (const MultiArrayView< 2, T, C1 > &x, const MultiArrayView< 2, T, C2 > &y, MultiArrayView< 2, T, C3 > &r) |
| template<class T , class C1 , class C2 > | |
| TemporaryMatrix< T > | outer (const MultiArrayView< 2, T, C1 > &x, const MultiArrayView< 2, T, C2 > &y) |
| template<class T , class C > | |
| TemporaryMatrix< T > | outer (const MultiArrayView< 2, T, C > &x) |
| template<class T , int N> | |
| TemporaryMatrix< T > | outer (const TinyVector< T, N > &x) |
| template<class T , class C1 , class C2 , class C3 > | |
| void | pdiv (const MultiArrayView< 2, T, C1 > &a, const MultiArrayView< 2, T, C2 > &b, MultiArrayView< 2, T, C3 > &r) |
| template<class T , class C1 , class C2 > | |
| TemporaryMatrix< T > | pdiv (const MultiArrayView< 2, T, C1 > &a, const MultiArrayView< 2, T, C2 > &b) |
| template<class T , class C1 , class C2 , class C3 > | |
| void | pmul (const MultiArrayView< 2, T, C1 > &a, const MultiArrayView< 2, T, C2 > &b, MultiArrayView< 2, T, C3 > &r) |
| template<class T , class C1 , class C2 > | |
| TemporaryMatrix< T > | pmul (const MultiArrayView< 2, T, C1 > &a, const MultiArrayView< 2, T, C2 > &b) |
| template<class POLYNOMIAL , class VECTOR > | |
| bool | polynomialRealRootsEigenvalueMethod (POLYNOMIAL const &p, VECTOR &roots, bool) |
| template<class POLYNOMIAL , class VECTOR > | |
| bool | polynomialRootsEigenvalueMethod (POLYNOMIAL const &poly, VECTOR &roots, bool polishRoots) |
| template<class T , class C > | |
| linalg::TemporaryMatrix< T > | pow (MultiArrayView< 2, T, C > const &v, T exponent) |
| template<... > | |
| void | prepareColumns (...) |
Standardize the columns of a matrix according to given DataPreparationGoals. More... | |
| template<... > | |
| void | prepareRows (...) |
Standardize the rows of a matrix according to given DataPreparationGoals. More... | |
| template<class T , class C1 , class C2 , class C3 > | |
| bool | qrDecomposition (MultiArrayView< 2, T, C1 > const &a, MultiArrayView< 2, T, C2 > &q, MultiArrayView< 2, T, C3 > &r, double epsilon=0.0) |
| template<class T , class C1 , class C2 > | |
| void | repeatMatrix (MultiArrayView< 2, T, C1 > const &v, MultiArrayView< 2, T, C2 > &r, unsigned int verticalCount, unsigned int horizontalCount) |
| template<class T , class C > | |
| TemporaryMatrix< T > | repeatMatrix (MultiArrayView< 2, T, C > const &v, unsigned int verticalCount, unsigned int horizontalCount) |
| template<class T , class C1 , class C2 , class C3 > | |
| bool | reverseElimination (const MultiArrayView< 2, T, C1 > &r, const MultiArrayView< 2, T, C2 > &b, MultiArrayView< 2, T, C3 > x) |
| template<class T , class C1 , class C2 , class C3 > | |
| bool | ridgeRegression (MultiArrayView< 2, T, C1 > const &A, MultiArrayView< 2, T, C2 > const &b, MultiArrayView< 2, T, C3 > &x, double lambda) |
| template<class T , class C1 , class C2 , class C3 , class Array > | |
| bool | ridgeRegressionSeries (MultiArrayView< 2, T, C1 > const &A, MultiArrayView< 2, T, C2 > const &b, MultiArrayView< 2, T, C3 > &x, Array const &lambda) |
| template<class T , class C > | |
| linalg::TemporaryMatrix< T > | round (MultiArrayView< 2, T, C > const &v) |
| template<class T , class C > | |
| MultiArrayIndex | rowCount (const MultiArrayView< 2, T, C > &x) |
| template<... > | |
| void | rowStatistics (...) |
| template<class T , class C > | |
| MultiArrayView< 2, T, C > | rowVector (MultiArrayView< 2, T, C > const &m, MultiArrayIndex d) |
| template<class T , class C > | |
| MultiArrayView< 2, T, C > | rowVector (MultiArrayView< 2, T, C > const &m, MultiArrayShape< 2 >::type first, MultiArrayIndex end) |
| template<class T , class C1 , class C2 > | |
| void | sdiv (const MultiArrayView< 2, T, C1 > &a, T b, MultiArrayView< 2, T, C2 > &r) |
| template<class T , class C > | |
| linalg::TemporaryMatrix< T > | sign (MultiArrayView< 2, T, C > const &v) |
| template<class T , class C > | |
| linalg::TemporaryMatrix< T > | sin (MultiArrayView< 2, T, C > const &v) |
| template<class T , class C1 , class C2 , class C3 , class C4 > | |
| unsigned int | singularValueDecomposition (MultiArrayView< 2, T, C1 > const &A, MultiArrayView< 2, T, C2 > &U, MultiArrayView< 2, T, C3 > &S, MultiArrayView< 2, T, C4 > &V) |
| template<class T , class C1 , class C2 > | |
| void | smul (const MultiArrayView< 2, T, C1 > &a, T b, MultiArrayView< 2, T, C2 > &r) |
| template<class T , class C2 , class C3 > | |
| void | smul (T a, const MultiArrayView< 2, T, C2 > &b, MultiArrayView< 2, T, C3 > &r) |
| template<class T , class C > | |
| linalg::TemporaryMatrix< T > | sq (MultiArrayView< 2, T, C > const &v) |
| template<class T , class C > | |
| linalg::TemporaryMatrix< T > | sqrt (MultiArrayView< 2, T, C > const &v) |
| template<class T , class ALLOC > | |
| Matrix< T, ALLLOC > ::SquaredNormType | squaredNorm (const Matrix< T, ALLLOC > &a) |
| template<class T , class C1 , class C2 , class C3 > | |
| void | sub (const MultiArrayView< 2, T, C1 > &a, const MultiArrayView< 2, T, C2 > &b, MultiArrayView< 2, T, C3 > &r) |
| template<class T , class C > | |
| MultiArrayView< 2, T, C > | subVector (MultiArrayView< 2, T, C > const &m, int first, int end) |
| template<class T , class C1 , class C2 , class C3 > | |
| bool | symmetricEigensystem (MultiArrayView< 2, T, C1 > const &a, MultiArrayView< 2, T, C2 > &ew, MultiArrayView< 2, T, C3 > &ev) |
| template<class T , class C1 , class C2 , class C3 > | |
| bool | symmetricEigensystemNoniterative (MultiArrayView< 2, T, C1 > const &a, MultiArrayView< 2, T, C2 > &ew, MultiArrayView< 2, T, C3 > &ev) |
| template<class T , class C > | |
| linalg::TemporaryMatrix< T > | tan (MultiArrayView< 2, T, C > const &v) |
| template<class T , class C > | |
| NumericTraits< T >::Promote | trace (MultiArrayView< 2, T, C > const &m) |
| template<class T , class C1 , class C2 > | |
| void | transpose (const MultiArrayView< 2, T, C1 > &v, MultiArrayView< 2, T, C2 > &r) |
| template<class T , class C > | |
| MultiArrayView< 2, T, StridedArrayTag > | transpose (MultiArrayView< 2, T, C > const &v) |
| template<class T , class C1 , class C2 , class C3 , class C4 > | |
| bool | weightedLeastSquares (MultiArrayView< 2, T, C1 > const &A, MultiArrayView< 2, T, C2 > const &b, MultiArrayView< 2, T, C3 > const &weights, MultiArrayView< 2, T, C4 > &x, std::string method="QR") |
| template<class T , class C1 , class C2 , class C3 , class C4 > | |
| bool | weightedRidgeRegression (MultiArrayView< 2, T, C1 > const &A, MultiArrayView< 2, T, C2 > const &b, MultiArrayView< 2, T, C3 > const &weights, MultiArrayView< 2, T, C4 > &x, double lambda) |
Detailed Description
Linear algebra functions.
Namespace vigra/linalg hold VIGRA's linear algebra functionality. But most of its contents is exported into namespace vigra via using directives.