OPAL (Object Oriented Parallel Accelerator Library)  2021.1.99
OPAL
Functions
matt_boost Namespace Reference

Functions

template<class V >
BOOST_UBLAS_INLINE V trace (ublas::matrix< V > &e)
 Computes the trace of a square matrix. More...
 
template<class V , class A >
BOOST_UBLAS_INLINE ublas::vector< V, A > cross_prod (ublas::vector< V, A > &v1, ublas::vector< V, A > &v2)
 Computes the cross product \( v_{1}\times v_{2}\) of two vectors in \( \mathbb{R}^{3} \). More...
 
template<class V >
BOOST_UBLAS_INLINE ublas::matrix< V > taylor_exp (const ublas::matrix< V > &F, const V ds, const unsigned int order)
 Computes Taylor-Series of M(s) = exp(F*s) More...
 
template<class M , class E1 , class E2 , class E3 >
BOOST_UBLAS_INLINE M gemmm (const ublas::matrix_expression< E1 > &e1, const ublas::matrix_expression< E2 > &e2, const ublas::matrix_expression< E3 > &e3)
 Generalized matrix-matrix-matrix multiplication \( e_{1}\cdot e_{2}\cdot e_{3} \). More...
 

Function Documentation

◆ cross_prod()

template<class V , class A >
BOOST_UBLAS_INLINE ublas::vector<V, A> matt_boost::cross_prod ( ublas::vector< V, A > &  v1,
ublas::vector< V, A > &  v2 
)

Computes the cross product \( v_{1}\times v_{2}\) of two vectors in \( \mathbb{R}^{3} \).

Definition at line 60 of file matrix_vector_operation.h.

Referenced by RealDiracMatrix::diagonalize(), and RealDiracMatrix::update().

◆ gemmm()

template<class M , class E1 , class E2 , class E3 >
BOOST_UBLAS_INLINE M matt_boost::gemmm ( const ublas::matrix_expression< E1 > &  e1,
const ublas::matrix_expression< E2 > &  e2,
const ublas::matrix_expression< E3 > &  e3 
)

Generalized matrix-matrix-matrix multiplication \( e_{1}\cdot e_{2}\cdot e_{3} \).

Definition at line 92 of file matrix_vector_operation.h.

References prod().

Here is the call graph for this function:

◆ taylor_exp()

template<class V >
BOOST_UBLAS_INLINE ublas::matrix<V> matt_boost::taylor_exp ( const ublas::matrix< V > &  F,
const V  ds,
const unsigned int  order 
)

Computes Taylor-Series of M(s) = exp(F*s)

Definition at line 76 of file matrix_vector_operation.h.

References prod().

Here is the call graph for this function:

◆ trace()

template<class V >
BOOST_UBLAS_INLINE V matt_boost::trace ( ublas::matrix< V > &  e)

Computes the trace of a square matrix.

Definition at line 45 of file matrix_vector_operation.h.

References Physics::e, and sum().

Referenced by RealDiracMatrix::diagonalize().

Here is the call graph for this function: