nwtc_num::outerproduct Interface Reference

This routine calculates the outer product of two vectors, \(u = \left(u_1, u_2, \ldots, u_m\right)\) and \(v = \left(v_1, v_2, \ldots ,v_n\right)\). More...

Public Member Functions
real(siki) function, dimension(size(u), size(v))	outerproductr4 (u, v)
	This routine calculates the outer product of two vectors, \(u = \left(u_1, u_2, \ldots, u_m\right)\) and \(v = \left(v_1, v_2, \ldots ,v_n\right)\). More...
real(r8ki) function, dimension(size(u), size(v))	outerproductr8 (u, v)
	This routine calculates the outer product of two vectors, \(u = \left(u_1, u_2, \ldots, u_m\right)\) and \(v = \left(v_1, v_2, \ldots ,v_n\right)\). More...
real(quki) function, dimension(size(u), size(v))	outerproductr16 (u, v)
	This routine calculates the outer product of two vectors, \(u = \left(u_1, u_2, \ldots, u_m\right)\) and \(v = \left(v_1, v_2, \ldots ,v_n\right)\). More...

Detailed Description

This routine calculates the outer product of two vectors, \(u = \left(u_1, u_2, \ldots, u_m\right)\) and \(v = \left(v_1, v_2, \ldots ,v_n\right)\).

The outer product is defined as

\begin{equation} A = u \otimes v = \begin{bmatrix} u_1 v_1 & u_1 v_2 & \dots & u_1 v_n \\ u_2 v_1 & u_2 v_2 & \dots & u_2 v_n \\ \vdots & \vdots & \ddots & \vdots \\ u_m v_1 & u_m v_2 & \dots & u_m v_n \end{bmatrix} \end{equation}

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

Parameters

[in]	u	first vector, \(u\), in the outer product
[in]	v	second vector, \(v\), in the outer product

Returns

the resultant matrix, A

Member Function/Subroutine Documentation

outerproductr16()

real(quki) function, dimension(size(u),size(v)) nwtc_num::outerproduct::outerproductr16	(	real(quki), dimension(:), intent(in)	u,
		real(quki), dimension(:), intent(in)	v
	)

This routine calculates the outer product of two vectors, \(u = \left(u_1, u_2, \ldots, u_m\right)\) and \(v = \left(v_1, v_2, \ldots ,v_n\right)\).

The outer product is defined as

\begin{equation} A = u \otimes v = \begin{bmatrix} u_1 v_1 & u_1 v_2 & \dots & u_1 v_n \\ u_2 v_1 & u_2 v_2 & \dots & u_2 v_n \\ \vdots & \vdots & \ddots & \vdots \\ u_m v_1 & u_m v_2 & \dots & u_m v_n \end{bmatrix} \end{equation}

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

Parameters

[in]	u	first vector, \(u\), in the outer product
[in]	v	second vector, \(v\), in the outer product

Returns

the resultant matrix, A

outerproductr4()

real(siki) function, dimension(size(u),size(v)) nwtc_num::outerproduct::outerproductr4	(	real(siki), dimension(:), intent(in)	u,
		real(siki), dimension(:), intent(in)	v
	)

This routine calculates the outer product of two vectors, \(u = \left(u_1, u_2, \ldots, u_m\right)\) and \(v = \left(v_1, v_2, \ldots ,v_n\right)\).

The outer product is defined as

\begin{equation} A = u \otimes v = \begin{bmatrix} u_1 v_1 & u_1 v_2 & \dots & u_1 v_n \\ u_2 v_1 & u_2 v_2 & \dots & u_2 v_n \\ \vdots & \vdots & \ddots & \vdots \\ u_m v_1 & u_m v_2 & \dots & u_m v_n \end{bmatrix} \end{equation}

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

Parameters

[in]	u	first vector, \(u\), in the outer product
[in]	v	second vector, \(v\), in the outer product

Returns

the resultant matrix, A

outerproductr8()

real(r8ki) function, dimension(size(u),size(v)) nwtc_num::outerproduct::outerproductr8	(	real(r8ki), dimension(:), intent(in)	u,
		real(r8ki), dimension(:), intent(in)	v
	)

This routine calculates the outer product of two vectors, \(u = \left(u_1, u_2, \ldots, u_m\right)\) and \(v = \left(v_1, v_2, \ldots ,v_n\right)\).

The outer product is defined as

\begin{equation} A = u \otimes v = \begin{bmatrix} u_1 v_1 & u_1 v_2 & \dots & u_1 v_n \\ u_2 v_1 & u_2 v_2 & \dots & u_2 v_n \\ \vdots & \vdots & \ddots & \vdots \\ u_m v_1 & u_m v_2 & \dots & u_m v_n \end{bmatrix} \end{equation}

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

Parameters

[in]	u	first vector, \(u\), in the outer product
[in]	v	second vector, \(v\), in the outer product

Returns

the resultant matrix, A

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

• NWTC_Num.f90