line::smc::rr_detail::Disp Struct Reference

The displacement representation B = L(b) + L(c1) L(Z r1)' + L(c2) L(Z r2)' of the Ramaswami-reduction matrix, with L(x) the block lower-triangular Toeplitz matrix whose first block column is x (N*m x m) and Z the block down-shift. More...

#include <line/lib/smc/mg1.h>

Collaboration diagram for line::smc::rr_detail::Disp:

Public Member Functions
Matrix< double >	blk (const Matrix< double > &x, std::size_t k) const
	Block k (0-based) of a stacked N*m x m generator.
Matrix< double >	left (const Matrix< double > &temp) const
	temp * B, MG1_RR_tempB.m.
Matrix< double >	right (const Matrix< double > &temp) const
	B * temp, MG1_RR_Btemp.m.

Public Attributes
std::size_t	N
std::size_t	m
Matrix< double >	b
Matrix< double >	c1
Matrix< double >	c2
Matrix< double >	r1
Matrix< double >	r2

Detailed Description

The displacement representation B = L(b) + L(c1) L(Z r1)' + L(c2) L(Z r2)' of the Ramaswami-reduction matrix, with L(x) the block lower-triangular Toeplitz matrix whose first block column is x (N*m x m) and Z the block down-shift.

Only the generators are stored; left and right are MG1_RR_tempB.m and MG1_RR_Btemp.m.

Definition at line 1208 of file mg1.h.

Member Function Documentation

blk()

Matrix< double > line::smc::rr_detail::Disp::blk ( const Matrix< double > & x, std::size_t k ) const

inline

Block k (0-based) of a stacked N*m x m generator.

Definition at line 1213 of file mg1.h.

References m, and line::smc::mg1x_detail::sub().

Referenced by left(), and right().

left()

Matrix< double > line::smc::rr_detail::Disp::left ( const Matrix< double > & temp ) const

inline

temp * B, MG1_RR_tempB.m.

Definition at line 1218 of file mg1.h.

References b, blk(), c1, c2, m, line::smc::madd(), line::matmul(), N, line::smc::mg1x_detail::put(), r1, r2, line::Matrix< T >::rows(), line::smc::mg1x_detail::sub(), and line::smc::mg1x_detail::trans().

Referenced by line::smc::mg1_rr().

right()

Matrix< double > line::smc::rr_detail::Disp::right ( const Matrix< double > & temp ) const

inline

B * temp, MG1_RR_Btemp.m.

Definition at line 1252 of file mg1.h.

References b, blk(), c1, c2, line::Matrix< T >::cols(), m, line::smc::madd(), line::matmul(), N, line::smc::mg1x_detail::put(), r1, r2, line::smc::mg1x_detail::sub(), and line::smc::mg1x_detail::trans().

Referenced by line::smc::mg1_rr().

Member Data Documentation

b

Matrix<double> line::smc::rr_detail::Disp::b

Definition at line 1210 of file mg1.h.

Referenced by left(), line::smc::mg1_rr(), and right().

c1

Matrix<double> line::smc::rr_detail::Disp::c1

Definition at line 1210 of file mg1.h.

Referenced by left(), line::smc::mg1_rr(), and right().

c2

Matrix<double> line::smc::rr_detail::Disp::c2

Definition at line 1210 of file mg1.h.

Referenced by left(), line::smc::mg1_rr(), and right().

m

std::size_t line::smc::rr_detail::Disp::m

Definition at line 1209 of file mg1.h.

Referenced by blk(), left(), and right().

N

std::size_t line::smc::rr_detail::Disp::N

Definition at line 1209 of file mg1.h.

Referenced by left(), and right().

r1

Matrix<double> line::smc::rr_detail::Disp::r1

Definition at line 1210 of file mg1.h.

Referenced by left(), line::smc::mg1_rr(), and right().

r2

Matrix<double> line::smc::rr_detail::Disp::r2

Definition at line 1210 of file mg1.h.

Referenced by left(), line::smc::mg1_rr(), and right().

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The documentation for this struct was generated from the following file:

• include/line/lib/smc/mg1.h