Second principal invariant $\iota_2(A)=\mathrm{tr}(\mathrm{cof}(A))$ for $A\in\mathbb{R}^{n,n}$ . More...

Inheritance diagram for RFFGen::LinearAlgebra::SecondPrincipalInvariant< Matrix, class >:

Public Member Functions
	SecondPrincipalInvariant ()=default
	Default constructor.

	SecondPrincipalInvariant (const Matrix &A)
	Constructor. More...

void	update (const Matrix &A)
	Reset matrix to compute second principal invariant from.

auto	d0 () const
	Value of the second principal invariant.

template<int , int >
auto	d1 (const Matrix &dA1) const
	First directional derivative. More...

template<int , int >
auto	d2 (const Matrix &dA1, const Matrix &dA2) const
	Second directional derivative. More...

Detailed Description

Second principal invariant $\iota_2(A)=\mathrm{tr}(\mathrm{cof}(A))$ for $A\in\mathbb{R}^{n,n}$ .

Constructor & Destructor Documentation

template<class Matrix , class = Concepts::SymmetricMatrixConceptCheck<Matrix>>

RFFGen::LinearAlgebra::SecondPrincipalInvariant< Matrix, class >::SecondPrincipalInvariant ( const Matrix & A )

inline

Constructor.

Parameters

A	matrix to compute second principal invariant from

template<class Matrix , class = Concepts::SymmetricMatrixConceptCheck<Matrix>>

template<int , int >

auto RFFGen::LinearAlgebra::SecondPrincipalInvariant< Matrix, class >::d1 ( const Matrix & dA1 ) const

inline

First directional derivative.

Parameters

dA1	direction for which the derivative is computed

template<class Matrix , class = Concepts::SymmetricMatrixConceptCheck<Matrix>>

template<int , int >

auto RFFGen::LinearAlgebra::SecondPrincipalInvariant< Matrix, class >::d2	(	const Matrix &	dA1,
		const Matrix &	dA2
	)		const

inline

Second directional derivative.

Parameters

dA1	direction for which the derivative is computed
dA2	direction for which the derivative is computed

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