la_determinant::operator(.det.) Interface Reference

Compute the determinant of a square matrix using the .det. operator. More...

Public Member Functions
pure real(sp) function	la_spure_determinant (a)
pure real(dp) function	la_dpure_determinant (a)
pure real(qp) function	la_qpure_determinant (a)
pure complex(sp) function	la_cpure_determinant (a)
pure complex(dp) function	la_zpure_determinant (a)
pure complex(qp) function	la_wpure_determinant (a)

Detailed Description

Compute the determinant of a square matrix using the .det. operator.

This operator computes the determinant of a real or complex square matrix \( A \) from its LU factorization, in a pure context and without an error flag.

Parameters

[in]

A

The input square matrix of size \( [n, n] \).

Returns

The determinant of the matrix \( A \), of the same kind as \( A \).

Note

This operator is a shorthand for the pure determinant, allowing expressions such as: \( d = .det. A \)

Warning

The matrix \( A \) is copied internally, so the operator never modifies its argument. Execution stops if the matrix is not square.

Member Function/Subroutine Documentation

la_cpure_determinant()

pure complex(sp) function la_determinant::operator(.det.)::la_cpure_determinant

(

complex(sp), dimension(:,:), intent(in)

a

)

Parameters

[in]

a

Input matrix a[m,n]

Returns

Result: matrix determinant

la_dpure_determinant()

pure real(dp) function la_determinant::operator(.det.)::la_dpure_determinant

(

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

a

)

Parameters

[in]

a

Input matrix a[m,n]

Returns

Result: matrix determinant

la_qpure_determinant()

pure real(qp) function la_determinant::operator(.det.)::la_qpure_determinant

(

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

a

)

Parameters

[in]

a

Input matrix a[m,n]

Returns

Result: matrix determinant

la_spure_determinant()

pure real(sp) function la_determinant::operator(.det.)::la_spure_determinant

(

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

a

)

Parameters

[in]

a

Input matrix a[m,n]

Returns

Result: matrix determinant

la_wpure_determinant()

pure complex(qp) function la_determinant::operator(.det.)::la_wpure_determinant

(

complex(qp), dimension(:,:), intent(in)

a

)

Parameters

[in]

a

Input matrix a[m,n]

Returns

Result: matrix determinant

la_zpure_determinant()

pure complex(dp) function la_determinant::operator(.det.)::la_zpure_determinant

(

complex(dp), dimension(:,:), intent(in)

a

)

Parameters

[in]

a

Input matrix a[m,n]

Returns

Result: matrix determinant

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

• la_determinant.f90