nwtc_num::trace Interface Reference

This function computes the trace of a matrix \(A \in \mathbb{R}^{m,n}\). More...

Public Member Functions
real(siki) function	tracer4 (A)
	This function computes the trace of a matrix \(A \in \mathbb{R}^{m,n}\). More...
real(r8ki) function	tracer8 (A)
	This function computes the trace of a matrix \(A \in \mathbb{R}^{m,n}\). More...
real(quki) function	tracer16 (A)
	This function computes the trace of a matrix \(A \in \mathbb{R}^{m,n}\). More...

Detailed Description

This function computes the trace of a matrix \(A \in \mathbb{R}^{m,n}\).

The trace of \(A\), \(\mathrm{Tr}\left[ A \right]\), is the sum of the diagonal elements of \(A\):

\begin{equation} \mathrm{Tr}\left[ A \right] = \sum_{i=1}^{\min(m,n)} A(i,i) \end{equation}

Use trace (nwtc_num::trace) instead of directly calling a specific routine in the generic interface.

Parameters

[in]

a

matrix A

Returns

sum of the diagonal elements of A

Member Function/Subroutine Documentation

tracer16()

real(quki) function nwtc_num::trace::tracer16

(

real(quki), dimension(:,:), intent(in)

A

)

This function computes the trace of a matrix \(A \in \mathbb{R}^{m,n}\).

The trace of \(A\), \(\mathrm{Tr}\left[ A \right]\), is the sum of the diagonal elements of \(A\):

\begin{equation} \mathrm{Tr}\left[ A \right] = \sum_{i=1}^{\min(m,n)} A(i,i) \end{equation}

Use trace (nwtc_num::trace) instead of directly calling a specific routine in the generic interface.

Parameters

[in]

a

matrix A

Returns

sum of the diagonal elements of A

tracer4()

real(siki) function nwtc_num::trace::tracer4

(

real(siki), dimension(:,:), intent(in)

A

)

This function computes the trace of a matrix \(A \in \mathbb{R}^{m,n}\).

The trace of \(A\), \(\mathrm{Tr}\left[ A \right]\), is the sum of the diagonal elements of \(A\):

\begin{equation} \mathrm{Tr}\left[ A \right] = \sum_{i=1}^{\min(m,n)} A(i,i) \end{equation}

Use trace (nwtc_num::trace) instead of directly calling a specific routine in the generic interface.

Parameters

[in]

a

matrix A

Returns

sum of the diagonal elements of A

tracer8()

real(r8ki) function nwtc_num::trace::tracer8

(

real(r8ki), dimension(:,:), intent(in)

A

)

This function computes the trace of a matrix \(A \in \mathbb{R}^{m,n}\).

The trace of \(A\), \(\mathrm{Tr}\left[ A \right]\), is the sum of the diagonal elements of \(A\):

\begin{equation} \mathrm{Tr}\left[ A \right] = \sum_{i=1}^{\min(m,n)} A(i,i) \end{equation}

Use trace (nwtc_num::trace) instead of directly calling a specific routine in the generic interface.

Parameters

[in]

a

matrix A

Returns

sum of the diagonal elements of A

Parameters

[in]

a

matrix A

Returns

sum of the diagonal elements of A

---

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

• NWTC_Num.f90