container::kernels::lapack_heevd< T, Device > Struct Template Reference

#include <lapack.h>

Collaboration diagram for container::kernels::lapack_heevd< T, Device >:

Public Types
using	Real = typename GetTypeReal< T >::type
	Computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix.

Public Member Functions
void	operator() (const int dim, T *Mat, const int lda, Real *eigen_val)

Member Typedef Documentation

Real

template<typename T , typename Device >

using container::kernels::lapack_heevd< T, Device >::Real = typename GetTypeReal<T>::type

Computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix.

This function solves the standard Hermitian eigenvalue problem A*x = lambda*x, where A is a Hermitian matrix. It computes all eigenvalues and optionally the corresponding eigenvectors using a divide and conquer algorithm.

Parameters

[in]	dim	The order of the matrix A. dim >= 0.
[in,out]	Mat	On entry, the Hermitian matrix A. On exit, if eigenvectors are computed, A contains the orthonormal eigenvectors of the matrix A.
[in]	lda	The leading dimension of the array Mat. lda >= max(1, dim).
[out]	eigen_val	Array of size at least dim. On normal exit, contains the eigenvalues in ascending order.

Note

See LAPACK ZHEEVD or CHEEVD documentation for more details. The matrix is assumed to be stored in upper or lower triangular form according to the uplo parameter (not shown here but typically passed to the actual implementation).

Member Function Documentation

operator()()

template<typename T , typename Device >

void container::kernels::lapack_heevd< T, Device >::operator()	(	const int	dim,
		T *	Mat,
		const int	lda,
		Real *	eigen_val
	)

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

• /home/runner/work/abacus-develop/abacus-develop/source/source_base/module_container/ATen/kernels/lapack.h