Functions
Matrix< double >	sub (const Matrix< double > &A, std::size_t r0, std::size_t nr, std::size_t c0, std::size_t nc)
	A(r0:r0+nr, c0:c0+nc), half-open, 0-based.
void	put (Matrix< double > &A, std::size_t r0, std::size_t c0, const Matrix< double > &S)
	A(r0:, c0:) = S.
Matrix< double >	trans (const Matrix< double > &A)
Matrix< double >	hjoin (const Matrix< double > &A, const Matrix< double > &B)
	[A B], horizontally.
Matrix< double >	vjoin (const Matrix< double > &A, const Matrix< double > &B)
	[A; B], vertically.
std::vector< double >	lsolve (const Matrix< double > &Z, const std::vector< double > &b)
	Z \ b for a square Z.
void	qr_econ (const Matrix< double > &A, Matrix< double > &Q, Matrix< double > &R)
	Economy QR, A = Q R with Q (r x k) orthonormal columns and R (k x c), k = min(r, c), by Householder reflections.

Function Documentation

◆ hjoin()

Matrix< double > line::smc::mg1x_detail::hjoin	(	const Matrix< double > &	A,
		const Matrix< double > &	B )

inline

[A B], horizontally.

Definition at line 940 of file mg1.h.

References line::Matrix< T >::cols(), hjoin(), line::InputError::InputError(), put(), and line::Matrix< T >::rows().

Referenced by hjoin().

◆ lsolve()

std::vector< double > line::smc::mg1x_detail::lsolve	(	const Matrix< double > &	Z,
		const std::vector< double > &	b )

inline

Z \ b for a square Z.

Definition at line 958 of file mg1.h.

References lsolve(), and line::solve().

Referenced by lsolve(), line::smc::sylv_powers_direct(), and line::smc::sylv_powers_real_schur().

◆ put()

void line::smc::mg1x_detail::put	(	Matrix< double > &	A,
		std::size_t	r0,
		std::size_t	c0,
		const Matrix< double > &	S )

inline

A(r0:, c0:) = S.

Definition at line 927 of file mg1.h.

References line::Matrix< T >::cols(), put(), and line::Matrix< T >::rows().

Referenced by hjoin(), line::smc::rr_detail::Disp::left(), put(), line::smc::rr_detail::Disp::right(), line::smc::sylv_powers_real_schur(), and vjoin().

◆ qr_econ()

void line::smc::mg1x_detail::qr_econ	(	const Matrix< double > &	A,
		Matrix< double > &	Q,
		Matrix< double > &	R )

inline

Economy QR, A = Q R with Q (r x k) orthonormal columns and R (k x c), k = min(r, c), by Householder reflections.

The sign convention differs from LAPACK's, which MG1_RR cannot see: its generators enter B only through a product invariant under an orthogonal change of basis.

Definition at line 967 of file mg1.h.

References line::Matrix< T >::cols(), qr_econ(), and line::Matrix< T >::rows().

Referenced by qr_econ().