35 #ifndef _BLAZE_MATH_DENSE_RQ_H_ 36 #define _BLAZE_MATH_DENSE_RQ_H_ 75 template<
typename MT1,
bool SO1,
typename MT2,
bool SO2,
typename MT3,
bool SO3 >
76 void rq(
const DenseMatrix<MT1,SO1>& A, DenseMatrix<MT2,SO2>& R, DenseMatrix<MT3,SO3>& Q );
93 template<
typename MT1 >
94 inline EnableIf_<IsBuiltin< ElementType_<MT1> > >
95 rq_backend( MT1& A,
const ElementType_<MT1>* tau )
115 template<
typename MT1 >
116 inline EnableIf_<IsComplex< ElementType_<MT1> > >
117 rq_backend( MT1& A,
const ElementType_<MT1>* tau )
174 template<
typename MT1
197 const size_t m( (~A).
rows() );
198 const size_t n( (~A).
columns() );
199 const size_t mindim(
min( m, n ) );
210 const std::unique_ptr<ET1[]> tau(
new ET1[mindim] );
211 decltype(
auto) r( derestrict( ~R ) );
216 gerqf( ~Q, tau.get() );
218 resize( ~R, m, m,
false );
221 for(
size_t i=0UL; i<m; ++i ) {
222 for(
size_t j=i; j<m; ++j ) {
223 r(i,j) = (~Q)(i,j+n-m);
227 rq_backend( ~Q, tau.get() );
232 gerqf( r, tau.get() );
234 rq_backend( ~Q, tau.get() );
236 for(
size_t i=m-n; i<m; ++i ) {
237 for(
size_t j=0UL; j<i+n-m; ++j ) {
Header file for the implementation of the Submatrix view.
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exception.This macro encapsulates the default way o...
Definition: Exception.h:235
Header file for auxiliary alias declarations.
Headerfile for the generic min algorithm.
void gerqf(int m, int n, float *A, int lda, float *tau, float *work, int lwork, int *info)
LAPACK kernel for the RQ decomposition of the given dense single precision column-major matrix...
Definition: gerqf.h:147
void orgrq(int m, int n, int k, float *A, int lda, const float *tau, float *work, int lwork, int *info)
LAPACK kernel for the reconstruction of the orthogonal matrix Q from a RQ decomposition.
Definition: orgrq.h:120
void reset(const DiagonalProxy< MT > &proxy)
Resetting the represented element to the default initial values.
Definition: DiagonalProxy.h:560
Submatrix< MT, AF > submatrix(Matrix< MT, SO > &matrix, size_t row, size_t column, size_t m, size_t n)
Creating a view on a specific submatrix of the given matrix.
Definition: Submatrix.h:352
const ElementType_< MT > min(const DenseMatrix< MT, SO > &dm)
Returns the smallest element of the dense matrix.
Definition: DenseMatrix.h:1762
#define BLAZE_CONSTRAINT_MUST_NOT_BE_UNITRIANGULAR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a lower or upper unitriangular matrix ty...
Definition: UniTriangular.h:81
void rq(const DenseMatrix< MT1, SO1 > &A, DenseMatrix< MT2, SO2 > &R, DenseMatrix< MT3, SO3 > &Q)
RQ decomposition of the given dense matrix.
Definition: RQ.h:180
Constraint on the data type.
Constraint on the data type.
#define BLAZE_CONSTRAINT_MUST_NOT_BE_ADAPTOR_TYPE(T)
Constraint on the data type.In case the given data type T is an adaptor type (as for instance LowerMa...
Definition: Adaptor.h:81
Header file for the LAPACK RQ decomposition functions (gerqf)
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:78
Constraint on the data type.
Header file for the IsSquare type trait.
Constraint on the data type.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
Header file for the DenseMatrix base class.
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
Compile time check for square matrices.This type trait tests whether or not the given template parame...
Definition: IsSquare.h:88
BLAZE_ALWAYS_INLINE size_t columns(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of columns of the matrix.
Definition: Matrix.h:340
Header file for the exception macros of the math module.
BLAZE_ALWAYS_INLINE void resize(Matrix< MT, SO > &matrix, size_t rows, size_t columns, bool preserve=true)
Changing the size of the matrix.
Definition: Matrix.h:548
Header file for the EnableIf class template.
Constraint on the data type.
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
#define BLAZE_CONSTRAINT_MUST_NOT_BE_SYMMETRIC_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a symmetric matrix type, a compilation error is created.
Definition: Symmetric.h:79
#define BLAZE_CONSTRAINT_MUST_NOT_BE_LOWER_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a lower triangular matrix type...
Definition: Lower.h:81
#define BLAZE_CONSTRAINT_MUST_BE_BLAS_COMPATIBLE_TYPE(T)
Constraint on the data type.In case the given data type T is not a BLAS compatible data type (i...
Definition: BLASCompatible.h:61
Constraint on the data type.
Constraint on the data type.
#define BLAZE_CONSTRAINT_MUST_NOT_BE_STRICTLY_TRIANGULAR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a strictly lower or upper triangular mat...
Definition: StrictlyTriangular.h:81
Header file for the LAPACK functions to reconstruct Q from a RQ decomposition (ungrq) ...
BLAZE_ALWAYS_INLINE size_t rows(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of rows of the matrix.
Definition: Matrix.h:324
void ungrq(int m, int n, int k, complex< float > *A, int lda, const complex< float > *tau, complex< float > *work, int lwork, int *info)
LAPACK kernel for the reconstruction of the orthogonal matrix Q from a RQ decomposition.
Definition: ungrq.h:120
#define BLAZE_CONSTRAINT_MUST_NOT_BE_HERMITIAN_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is an Hermitian matrix type, a compilation error is created.
Definition: Hermitian.h:79
Header file for the IsResizable type trait.
Header file for the LAPACK functions to reconstruct Q from a RQ decomposition (orgrq) ...