funcy::linalg::SecondPrincipalInvariant< Mat > Class Template Reference

#include <principal_invariants.h>

Inheritance diagram for funcy::linalg::SecondPrincipalInvariant< Mat >:

Collaboration diagram for funcy::linalg::SecondPrincipalInvariant< Mat >:

Public Member Functions
	SecondPrincipalInvariant (const Mat &A)
	Constructor. More...
void	update (const Mat &A)
	Reset matrix to compute second principal invariant from.
auto	d0 () const noexcept
	Value of the second principal invariant.
auto	d1 (const Mat &dA1) const
	First directional derivative. More...
auto	d2 (const Mat &dA1, const Mat &dA2) const
	Second directional derivative. More...

Detailed Description

template<Matrix Mat>
class funcy::linalg::SecondPrincipalInvariant< Mat >

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

Constructor & Destructor Documentation

SecondPrincipalInvariant()

template<Matrix Mat>

funcy::linalg::SecondPrincipalInvariant< Mat >::SecondPrincipalInvariant ( const Mat &  A )

inline

Constructor.

Parameters

A	matrix to compute second principal invariant from

Member Function Documentation

d1()

template<Matrix Mat>

auto funcy::linalg::SecondPrincipalInvariant< Mat >::d1 ( const Mat &  dA1 ) const

inline

First directional derivative.

Parameters

dA1	direction for which the derivative is computed

d2()

template<Matrix Mat>

auto funcy::linalg::SecondPrincipalInvariant< Mat >::d2 ( const Mat &  dA1, const Mat &  dA2  ) const

inline

Second directional derivative.

Parameters

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

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

• include/funcy/linalg/principal_invariants.h