lalg_adv_oct_m::lalg_matrix_function Interface Reference

Detailed Description

Definition at line 228 of file lalg_adv.F90.

Private Member Functions
subroutine	dlalg_matrix_function (n, factor, a, fun_a, fun, hermitian)
	This routine calculates a function of a matrix by using an eigenvalue decomposition. More...
subroutine	zlalg_matrix_function (n, factor, a, fun_a, fun, hermitian)
	This routine calculates a function of a matrix by using an eigenvalue decomposition. More...

Member Function/Subroutine Documentation

dlalg_matrix_function()

subroutine lalg_adv_oct_m::lalg_matrix_function::dlalg_matrix_function ( integer, intent(in)  n, real(real64), intent(in)  factor, real(real64), dimension(:, :), intent(in)  a, real(real64), dimension(:, :), intent(inout)  fun_a,   fun, logical, intent(in)  hermitian  )

private

This routine calculates a function of a matrix by using an eigenvalue decomposition.

For the hermitian case:

\[ A = V D V^T \implies fun(A) = V fun(D) V^T \]

and in general

\[ A = V D V^-1 \implies fun(A) = V fun(D) V^-1 \]

where \(V\) are the eigenvectors, and \(D\) is a diagonal matrix containing the eigenvalues.

In addition, this function can compute \(fun(factor*A)\) for a complex factor.

This is slow but it is simple to implement, and for the moment it does not affect performance.

Parameters

[in]	n	dimension of the matrix A
[in]	factor	complex factor
[in]	a	matrix A
[in,out]	fun_a	fun(A)
[in]	hermitian	is the matrix hermitian?

Definition at line 3515 of file lalg_adv.F90.

zlalg_matrix_function()

subroutine lalg_adv_oct_m::lalg_matrix_function::zlalg_matrix_function ( integer, intent(in)  n, complex(real64), intent(in)  factor, complex(real64), dimension(:, :), intent(in)  a, complex(real64), dimension(:, :), intent(inout)  fun_a,   fun, logical, intent(in)  hermitian  )

private

This routine calculates a function of a matrix by using an eigenvalue decomposition.

For the hermitian case:

\[ A = V D V^T \implies fun(A) = V fun(D) V^T \]

and in general

\[ A = V D V^-1 \implies fun(A) = V fun(D) V^-1 \]

where \(V\) are the eigenvectors, and \(D\) is a diagonal matrix containing the eigenvalues.

In addition, this function can compute \(fun(factor*A)\) for a complex factor.

This is slow but it is simple to implement, and for the moment it does not affect performance.

Parameters

[in]	n	dimension of the matrix A
[in]	factor	complex factor
[in]	a	matrix A
[in,out]	fun_a	fun(A)
[in]	hermitian	is the matrix hermitian?

Definition at line 2088 of file lalg_adv.F90.

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

• math/lalg_adv.F90