Linear::Hessenberg< T, N, Flags > Struct Template Reference

Struct for Hessenberg decomposition. More...

#include <Decomp.h>

Public Member Functions
template<size_t M2, size_t N2, unsigned int Flags2>
	Hessenberg (const Matrix< T, M2, N2, Flags2 > &A)
	Constructor. More...
template<size_t M2, size_t N2, unsigned int Flags2>
void	Compute (const Matrix< T, M2, N2, Flags2 > &A)
	Computes the Hessenberg decomposition. More...

Public Attributes
SquareMatrix< T, N, Flags >	Q
SquareMatrix< T, N, Flags >	H
SquareMatrix< T, N, Flags >	Qh

Detailed Description

template<typename T, size_t N, unsigned int Flags = 0>
struct Linear::Hessenberg< T, N, Flags >

Struct for Hessenberg decomposition.

This struct NxN matrix Q and NxN matrix H such that \(A=QHQ^*\) where Q is unitary and H is upper Hessenberg.

Parameters

T	Type to store matrix entries as.
N	Number of rows/columns for Q and H (both square). Dynamic is allowed for N.
Flags	Flags to pass to the matrices (default = row major).

Constructor & Destructor Documentation

Hessenberg()

template<typename T , size_t N, unsigned int Flags = 0>

template<size_t M2, size_t N2, unsigned int Flags2>

Linear::Hessenberg< T, N, Flags >::Hessenberg ( const Matrix< T, M2, N2, Flags2 > &  A )

inline

Constructor.

Just calls Compute.

Parameters

A	M2xN2 Matrix

Member Function Documentation

Compute()

template<typename T , size_t N, unsigned int Flags = 0>

template<size_t M2, size_t N2, unsigned int Flags2>

void Linear::Hessenberg< T, N, Flags >::Compute ( const Matrix< T, M2, N2, Flags2 > &  A )

inline

Computes the Hessenberg decomposition.

If A is not square or Q != N, then an exception is thrown.

Parameters

A	M2xN2 Matrix

Member Data Documentation

H

template<typename T , size_t N, unsigned int Flags = 0>

SquareMatrix<T,N,Flags> Linear::Hessenberg< T, N, Flags >::H

Upper Hessenberg matrix

Q

template<typename T , size_t N, unsigned int Flags = 0>

SquareMatrix<T,N,Flags> Linear::Hessenberg< T, N, Flags >::Q

Unitary matrix

Qh

template<typename T , size_t N, unsigned int Flags = 0>

SquareMatrix<T,N,Flags> Linear::Hessenberg< T, N, Flags >::Qh

Qh=ConjugateTranspose(Q)

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

• src/Decomp.h