Functions
magma_int_t	magma_cheevx (magma_vec_t jobz, magma_range_t range, magma_uplo_t uplo, magma_int_t n, magmaFloatComplex A, magma_int_t lda, float vl, float vu, magma_int_t il, magma_int_t iu, float abstol, magma_int_t m, float w, magmaFloatComplex Z, magma_int_t ldz, magmaFloatComplex work, magma_int_t lwork, float rwork, magma_int_t iwork, magma_int_t ifail, magma_int_t *info)
	CHEEVX computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix A.

magma_int_t	magma_cheevx_gpu (magma_vec_t jobz, magma_range_t range, magma_uplo_t uplo, magma_int_t n, magmaFloatComplex_ptr dA, magma_int_t ldda, float vl, float vu, magma_int_t il, magma_int_t iu, float abstol, magma_int_t m, float w, magmaFloatComplex_ptr dZ, magma_int_t lddz, magmaFloatComplex wA, magma_int_t ldwa, magmaFloatComplex wZ, magma_int_t ldwz, magmaFloatComplex work, magma_int_t lwork, float rwork, magma_int_t iwork, magma_int_t ifail, magma_int_t *info)
	CHEEVX computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix A.

magma_int_t	magma_zheevx (magma_vec_t jobz, magma_range_t range, magma_uplo_t uplo, magma_int_t n, magmaDoubleComplex A, magma_int_t lda, double vl, double vu, magma_int_t il, magma_int_t iu, double abstol, magma_int_t m, double w, magmaDoubleComplex Z, magma_int_t ldz, magmaDoubleComplex work, magma_int_t lwork, double rwork, magma_int_t iwork, magma_int_t ifail, magma_int_t *info)
	ZHEEVX computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix A.

magma_int_t	magma_zheevx_gpu (magma_vec_t jobz, magma_range_t range, magma_uplo_t uplo, magma_int_t n, magmaDoubleComplex_ptr dA, magma_int_t ldda, double vl, double vu, magma_int_t il, magma_int_t iu, double abstol, magma_int_t m, double w, magmaDoubleComplex_ptr dZ, magma_int_t lddz, magmaDoubleComplex wA, magma_int_t ldwa, magmaDoubleComplex wZ, magma_int_t ldwz, magmaDoubleComplex work, magma_int_t lwork, double rwork, magma_int_t iwork, magma_int_t ifail, magma_int_t *info)
	ZHEEVX computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix A.

Detailed Description

Function Documentation

◆ magma_cheevx()

magma_int_t magma_cheevx	(	magma_vec_t	jobz,
		magma_range_t	range,
		magma_uplo_t	uplo,
		magma_int_t	n,
		magmaFloatComplex *	A,
		magma_int_t	lda,
		float	vl,
		float	vu,
		magma_int_t	il,
		magma_int_t	iu,
		float	abstol,
		magma_int_t *	m,
		float *	w,
		magmaFloatComplex *	Z,
		magma_int_t	ldz,
		magmaFloatComplex *	work,
		magma_int_t	lwork,
		float *	rwork,
		magma_int_t *	iwork,
		magma_int_t *	ifail,
		magma_int_t *	info )

CHEEVX computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix A.

Eigenvalues and eigenvectors can be selected by specifying either a range of values or a range of indices for the desired eigenvalues.

Parameters

[in]	jobz	magma_vec_t = MagmaNoVec: Compute eigenvalues only; = MagmaVec: Compute eigenvalues and eigenvectors.
[in]	range	magma_range_t = MagmaRangeAll: all eigenvalues will be found. = MagmaRangeV: all eigenvalues in the half-open interval (VL,VU] will be found. = MagmaRangeI: the IL-th through IU-th eigenvalues will be found.
[in]	uplo	magma_uplo_t = MagmaUpper: Upper triangle of A is stored; = MagmaLower: Lower triangle of A is stored.
[in]	n	INTEGER The order of the matrix A. N >= 0.
[in,out]	A	COMPLEX array, dimension (LDA, N) On entry, the Hermitian matrix A. If UPLO = MagmaUpper, the leading N-by-N upper triangular part of A contains the upper triangular part of the matrix A. If UPLO = MagmaLower, the leading N-by-N lower triangular part of A contains the lower triangular part of the matrix A. On exit, the lower triangle (if UPLO=MagmaLower) or the upper triangle (if UPLO=MagmaUpper) of A, including the diagonal, is destroyed.
[in]	lda	INTEGER The leading dimension of the array A. LDA >= max(1,N).
[in]	vl	REAL
[in]	vu	REAL If RANGE=MagmaRangeV, the lower and upper bounds of the interval to be searched for eigenvalues. VL < VU. Not referenced if RANGE = MagmaRangeAll or MagmaRangeI.
[in]	il	INTEGER
[in]	iu	INTEGER If RANGE=MagmaRangeI, the indices (in ascending order) of the smallest and largest eigenvalues to be returned. 1 <= IL <= IU <= N, if N > 0; IL = 1 and IU = 0 if N = 0. Not referenced if RANGE = MagmaRangeAll or MagmaRangeV.
[in]	abstol	REAL The absolute error tolerance for the eigenvalues. An approximate eigenvalue is accepted as converged when it is determined to lie in an interval [a,b] of width less than or equal to ABSTOL + EPS * max( \|a\|,\|b\| ), where EPS is the machine precision. If ABSTOL is less than or equal to zero, then EPS\|T\| will be used in its place, where \|T\| is the 1-norm of the tridiagonal matrix obtained by reducing A to tridiagonal form. Eigenvalues will be computed most accurately when ABSTOL is set to twice the underflow threshold 2SLAMCH('S'), not zero. If this routine returns with INFO > 0, indicating that some eigenvectors did not converge, try setting ABSTOL to 2*SLAMCH('S'). See "Computing Small Singular Values of Bidiagonal Matrices with Guaranteed High Relative Accuracy," by Demmel and Kahan, LAPACK Working Note #3.
[out]	m	INTEGER The total number of eigenvalues found. 0 <= M <= N. If RANGE = MagmaRangeAll, M = N, and if RANGE = MagmaRangeI, M = IU-IL+1.
[out]	w	REAL array, dimension (N) On normal exit, the first M elements contain the selected eigenvalues in ascending order.
[out]	Z	COMPLEX array, dimension (LDZ, max(1,M)) If JOBZ = MagmaVec, then if INFO = 0, the first M columns of Z contain the orthonormal eigenvectors of the matrix A corresponding to the selected eigenvalues, with the i-th column of Z holding the eigenvector associated with W(i). If an eigenvector fails to converge, then that column of Z contains the latest approximation to the eigenvector, and the index of the eigenvector is returned in IFAIL. If JOBZ = MagmaNoVec, then Z is not referenced. Note: the user must ensure that at least max(1,M) columns are supplied in the array Z; if RANGE = MagmaRangeV, the exact value of M is not known in advance and an upper bound must be used.
[in]	ldz	INTEGER The leading dimension of the array Z. LDZ >= 1, and if JOBZ = MagmaVec, LDZ >= max(1,N).
[out]	work	(workspace) COMPLEX array, dimension (LWORK) On exit, if INFO = 0, WORK[0] returns the optimal LWORK.
[in]	lwork	INTEGER The length of the array WORK. LWORK >= max(1,2N-1). For optimal efficiency, LWORK >= (NB+1)N, where NB is the max of the blocksize for CHETRD and for CUNMTR as returned by ILAENV. If LWORK = -1, then a workspace query is assumed; the routine only calculates the optimal size of the WORK array, returns this value as the first entry of the WORK array, and no error message related to LWORK is issued by XERBLA.
	rwork	(workspace) REAL array, dimension (7*N)
	iwork	(workspace) INTEGER array, dimension (5*N)
[out]	ifail	INTEGER array, dimension (N) If JOBZ = MagmaVec, then if INFO = 0, the first M elements of IFAIL are zero. If INFO > 0, then IFAIL contains the indices of the eigenvectors that failed to converge. If JOBZ = MagmaNoVec, then IFAIL is not referenced.
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, then i eigenvectors failed to converge. Their indices are stored in array IFAIL.

◆ magma_cheevx_gpu()

magma_int_t magma_cheevx_gpu	(	magma_vec_t	jobz,
		magma_range_t	range,
		magma_uplo_t	uplo,
		magma_int_t	n,
		magmaFloatComplex_ptr	dA,
		magma_int_t	ldda,
		float	vl,
		float	vu,
		magma_int_t	il,
		magma_int_t	iu,
		float	abstol,
		magma_int_t *	m,
		float *	w,
		magmaFloatComplex_ptr	dZ,
		magma_int_t	lddz,
		magmaFloatComplex *	wA,
		magma_int_t	ldwa,
		magmaFloatComplex *	wZ,
		magma_int_t	ldwz,
		magmaFloatComplex *	work,
		magma_int_t	lwork,
		float *	rwork,
		magma_int_t *	iwork,
		magma_int_t *	ifail,
		magma_int_t *	info )

CHEEVX computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix A.

Eigenvalues and eigenvectors can be selected by specifying either a range of values or a range of indices for the desired eigenvalues.

Parameters

[in]	jobz	magma_vec_t = MagmaNoVec: Compute eigenvalues only; = MagmaVec: Compute eigenvalues and eigenvectors.
[in]	range	magma_range_t = MagmaRangeAll: all eigenvalues will be found. = MagmaRangeV: all eigenvalues in the half-open interval (VL,VU] will be found. = MagmaRangeI: the IL-th through IU-th eigenvalues will be found.
[in]	uplo	magma_uplo_t = MagmaUpper: Upper triangle of A is stored; = MagmaLower: Lower triangle of A is stored.
[in]	n	INTEGER The order of the matrix A. N >= 0.
[in,out]	dA	COMPLEX array, dimension (LDDA, N) On entry, the Hermitian matrix A. If UPLO = MagmaUpper, the leading N-by-N upper triangular part of A contains the upper triangular part of the matrix A. If UPLO = MagmaLower, the leading N-by-N lower triangular part of A contains the lower triangular part of the matrix A. On exit, the lower triangle (if UPLO=MagmaLower) or the upper triangle (if UPLO=MagmaUpper) of A, including the diagonal, is destroyed.
[in]	ldda	INTEGER The leading dimension of the array DA. LDDA >= max(1,N).
[in]	vl	REAL
[in]	vu	REAL If RANGE=MagmaRangeV, the lower and upper bounds of the interval to be searched for eigenvalues. VL < VU. Not referenced if RANGE = MagmaRangeAll or MagmaRangeI.
[in]	il	INTEGER
[in]	iu	INTEGER If RANGE=MagmaRangeI, the indices (in ascending order) of the smallest and largest eigenvalues to be returned. 1 <= IL <= IU <= N, if N > 0; IL = 1 and IU = 0 if N = 0. Not referenced if RANGE = MagmaRangeAll or MagmaRangeV.
[in]	abstol	REAL The absolute error tolerance for the eigenvalues. An approximate eigenvalue is accepted as converged when it is determined to lie in an interval [a,b] of width less than or equal to ABSTOL + EPS * max( \|a\|,\|b\| ), where EPS is the machine precision. If ABSTOL is less than or equal to zero, then EPS\|T\| will be used in its place, where \|T\| is the 1-norm of the tridiagonal matrix obtained by reducing A to tridiagonal form. Eigenvalues will be computed most accurately when ABSTOL is set to twice the underflow threshold 2SLAMCH('S'), not zero. If this routine returns with INFO > 0, indicating that some eigenvectors did not converge, try setting ABSTOL to 2*SLAMCH('S'). See "Computing Small Singular Values of Bidiagonal Matrices with Guaranteed High Relative Accuracy," by Demmel and Kahan, LAPACK Working Note #3.
[out]	m	INTEGER The total number of eigenvalues found. 0 <= M <= N. If RANGE = MagmaRangeAll, M = N, and if RANGE = MagmaRangeI, M = IU-IL+1.
[out]	w	REAL array, dimension (N) On normal exit, the first M elements contain the selected eigenvalues in ascending order.
[out]	dZ	COMPLEX array, dimension (LDDZ, max(1,M)) If JOBZ = MagmaVec, then if INFO = 0, the first M columns of Z contain the orthonormal eigenvectors of the matrix A corresponding to the selected eigenvalues, with the i-th column of Z holding the eigenvector associated with W(i). If an eigenvector fails to converge, then that column of Z contains the latest approximation to the eigenvector, and the index of the eigenvector is returned in IFAIL. If JOBZ = MagmaNoVec, then Z is not referenced. Note: the user must ensure that at least max(1,M) columns are supplied in the array Z; if RANGE = MagmaRangeV, the exact value of M is not known in advance and an upper bound must be used. (workspace) If USE_MAGMABLAS_HEMV is defined DZ should be (LDDZ, max(1,N)) in both cases.
[in]	lddz	INTEGER The leading dimension of the array DZ. LDDZ >= 1, and if JOBZ = MagmaVec, LDDZ >= max(1,N).
	wA	(workspace) COMPLEX array, dimension (LDWA, N)
[in]	ldwa	INTEGER The leading dimension of the array wA. LDWA >= max(1,N).
	wZ	(workspace) COMPLEX array, dimension (LDWZ, max(1,M))
[in]	ldwz	INTEGER The leading dimension of the array wZ. LDWZ >= 1, and if JOBZ = MagmaVec, LDWZ >= max(1,N).
[out]	work	(workspace) COMPLEX array, dimension (LWORK) On exit, if INFO = 0, WORK[0] returns the optimal LWORK.
[in]	lwork	INTEGER The length of the array WORK. LWORK >= (NB+1)*N, where NB is the max of the blocksize for CHETRD. If LWORK = -1, then a workspace query is assumed; the routine only calculates the optimal size of the WORK array, returns this value as the first entry of the WORK array, and no error message related to LWORK is issued by XERBLA.
	rwork	(workspace) REAL array, dimension (7*N)
	iwork	(workspace) INTEGER array, dimension (5*N)
[out]	ifail	INTEGER array, dimension (N) If JOBZ = MagmaVec, then if INFO = 0, the first M elements of IFAIL are zero. If INFO > 0, then IFAIL contains the indices of the eigenvectors that failed to converge. If JOBZ = MagmaNoVec, then IFAIL is not referenced.
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, then i eigenvectors failed to converge. Their indices are stored in array IFAIL.

◆ magma_zheevx()

magma_int_t magma_zheevx	(	magma_vec_t	jobz,
		magma_range_t	range,
		magma_uplo_t	uplo,
		magma_int_t	n,
		magmaDoubleComplex *	A,
		magma_int_t	lda,
		double	vl,
		double	vu,
		magma_int_t	il,
		magma_int_t	iu,
		double	abstol,
		magma_int_t *	m,
		double *	w,
		magmaDoubleComplex *	Z,
		magma_int_t	ldz,
		magmaDoubleComplex *	work,
		magma_int_t	lwork,
		double *	rwork,
		magma_int_t *	iwork,
		magma_int_t *	ifail,
		magma_int_t *	info )

ZHEEVX computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix A.

Eigenvalues and eigenvectors can be selected by specifying either a range of values or a range of indices for the desired eigenvalues.

Parameters

[in]	jobz	magma_vec_t = MagmaNoVec: Compute eigenvalues only; = MagmaVec: Compute eigenvalues and eigenvectors.
[in]	range	magma_range_t = MagmaRangeAll: all eigenvalues will be found. = MagmaRangeV: all eigenvalues in the half-open interval (VL,VU] will be found. = MagmaRangeI: the IL-th through IU-th eigenvalues will be found.
[in]	uplo	magma_uplo_t = MagmaUpper: Upper triangle of A is stored; = MagmaLower: Lower triangle of A is stored.
[in]	n	INTEGER The order of the matrix A. N >= 0.
[in,out]	A	COMPLEX_16 array, dimension (LDA, N) On entry, the Hermitian matrix A. If UPLO = MagmaUpper, the leading N-by-N upper triangular part of A contains the upper triangular part of the matrix A. If UPLO = MagmaLower, the leading N-by-N lower triangular part of A contains the lower triangular part of the matrix A. On exit, the lower triangle (if UPLO=MagmaLower) or the upper triangle (if UPLO=MagmaUpper) of A, including the diagonal, is destroyed.
[in]	lda	INTEGER The leading dimension of the array A. LDA >= max(1,N).
[in]	vl	DOUBLE PRECISION
[in]	vu	DOUBLE PRECISION If RANGE=MagmaRangeV, the lower and upper bounds of the interval to be searched for eigenvalues. VL < VU. Not referenced if RANGE = MagmaRangeAll or MagmaRangeI.
[in]	il	INTEGER
[in]	iu	INTEGER If RANGE=MagmaRangeI, the indices (in ascending order) of the smallest and largest eigenvalues to be returned. 1 <= IL <= IU <= N, if N > 0; IL = 1 and IU = 0 if N = 0. Not referenced if RANGE = MagmaRangeAll or MagmaRangeV.
[in]	abstol	DOUBLE PRECISION The absolute error tolerance for the eigenvalues. An approximate eigenvalue is accepted as converged when it is determined to lie in an interval [a,b] of width less than or equal to ABSTOL + EPS * max( \|a\|,\|b\| ), where EPS is the machine precision. If ABSTOL is less than or equal to zero, then EPS\|T\| will be used in its place, where \|T\| is the 1-norm of the tridiagonal matrix obtained by reducing A to tridiagonal form. Eigenvalues will be computed most accurately when ABSTOL is set to twice the underflow threshold 2DLAMCH('S'), not zero. If this routine returns with INFO > 0, indicating that some eigenvectors did not converge, try setting ABSTOL to 2*DLAMCH('S'). See "Computing Small Singular Values of Bidiagonal Matrices with Guaranteed High Relative Accuracy," by Demmel and Kahan, LAPACK Working Note #3.
[out]	m	INTEGER The total number of eigenvalues found. 0 <= M <= N. If RANGE = MagmaRangeAll, M = N, and if RANGE = MagmaRangeI, M = IU-IL+1.
[out]	w	DOUBLE PRECISION array, dimension (N) On normal exit, the first M elements contain the selected eigenvalues in ascending order.
[out]	Z	COMPLEX_16 array, dimension (LDZ, max(1,M)) If JOBZ = MagmaVec, then if INFO = 0, the first M columns of Z contain the orthonormal eigenvectors of the matrix A corresponding to the selected eigenvalues, with the i-th column of Z holding the eigenvector associated with W(i). If an eigenvector fails to converge, then that column of Z contains the latest approximation to the eigenvector, and the index of the eigenvector is returned in IFAIL. If JOBZ = MagmaNoVec, then Z is not referenced. Note: the user must ensure that at least max(1,M) columns are supplied in the array Z; if RANGE = MagmaRangeV, the exact value of M is not known in advance and an upper bound must be used.
[in]	ldz	INTEGER The leading dimension of the array Z. LDZ >= 1, and if JOBZ = MagmaVec, LDZ >= max(1,N).
[out]	work	(workspace) COMPLEX_16 array, dimension (LWORK) On exit, if INFO = 0, WORK[0] returns the optimal LWORK.
[in]	lwork	INTEGER The length of the array WORK. LWORK >= max(1,2N-1). For optimal efficiency, LWORK >= (NB+1)N, where NB is the max of the blocksize for ZHETRD and for ZUNMTR as returned by ILAENV. If LWORK = -1, then a workspace query is assumed; the routine only calculates the optimal size of the WORK array, returns this value as the first entry of the WORK array, and no error message related to LWORK is issued by XERBLA.
	rwork	(workspace) DOUBLE PRECISION array, dimension (7*N)
	iwork	(workspace) INTEGER array, dimension (5*N)
[out]	ifail	INTEGER array, dimension (N) If JOBZ = MagmaVec, then if INFO = 0, the first M elements of IFAIL are zero. If INFO > 0, then IFAIL contains the indices of the eigenvectors that failed to converge. If JOBZ = MagmaNoVec, then IFAIL is not referenced.
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, then i eigenvectors failed to converge. Their indices are stored in array IFAIL.

◆ magma_zheevx_gpu()

magma_int_t magma_zheevx_gpu	(	magma_vec_t	jobz,
		magma_range_t	range,
		magma_uplo_t	uplo,
		magma_int_t	n,
		magmaDoubleComplex_ptr	dA,
		magma_int_t	ldda,
		double	vl,
		double	vu,
		magma_int_t	il,
		magma_int_t	iu,
		double	abstol,
		magma_int_t *	m,
		double *	w,
		magmaDoubleComplex_ptr	dZ,
		magma_int_t	lddz,
		magmaDoubleComplex *	wA,
		magma_int_t	ldwa,
		magmaDoubleComplex *	wZ,
		magma_int_t	ldwz,
		magmaDoubleComplex *	work,
		magma_int_t	lwork,
		double *	rwork,
		magma_int_t *	iwork,
		magma_int_t *	ifail,
		magma_int_t *	info )

ZHEEVX computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix A.

Eigenvalues and eigenvectors can be selected by specifying either a range of values or a range of indices for the desired eigenvalues.

Parameters

[in]	jobz	magma_vec_t = MagmaNoVec: Compute eigenvalues only; = MagmaVec: Compute eigenvalues and eigenvectors.
[in]	range	magma_range_t = MagmaRangeAll: all eigenvalues will be found. = MagmaRangeV: all eigenvalues in the half-open interval (VL,VU] will be found. = MagmaRangeI: the IL-th through IU-th eigenvalues will be found.
[in]	uplo	magma_uplo_t = MagmaUpper: Upper triangle of A is stored; = MagmaLower: Lower triangle of A is stored.
[in]	n	INTEGER The order of the matrix A. N >= 0.
[in,out]	dA	COMPLEX_16 array, dimension (LDDA, N) On entry, the Hermitian matrix A. If UPLO = MagmaUpper, the leading N-by-N upper triangular part of A contains the upper triangular part of the matrix A. If UPLO = MagmaLower, the leading N-by-N lower triangular part of A contains the lower triangular part of the matrix A. On exit, the lower triangle (if UPLO=MagmaLower) or the upper triangle (if UPLO=MagmaUpper) of A, including the diagonal, is destroyed.
[in]	ldda	INTEGER The leading dimension of the array DA. LDDA >= max(1,N).
[in]	vl	DOUBLE PRECISION
[in]	vu	DOUBLE PRECISION If RANGE=MagmaRangeV, the lower and upper bounds of the interval to be searched for eigenvalues. VL < VU. Not referenced if RANGE = MagmaRangeAll or MagmaRangeI.
[in]	il	INTEGER
[in]	iu	INTEGER If RANGE=MagmaRangeI, the indices (in ascending order) of the smallest and largest eigenvalues to be returned. 1 <= IL <= IU <= N, if N > 0; IL = 1 and IU = 0 if N = 0. Not referenced if RANGE = MagmaRangeAll or MagmaRangeV.
[in]	abstol	DOUBLE PRECISION The absolute error tolerance for the eigenvalues. An approximate eigenvalue is accepted as converged when it is determined to lie in an interval [a,b] of width less than or equal to ABSTOL + EPS * max( \|a\|,\|b\| ), where EPS is the machine precision. If ABSTOL is less than or equal to zero, then EPS\|T\| will be used in its place, where \|T\| is the 1-norm of the tridiagonal matrix obtained by reducing A to tridiagonal form. Eigenvalues will be computed most accurately when ABSTOL is set to twice the underflow threshold 2DLAMCH('S'), not zero. If this routine returns with INFO > 0, indicating that some eigenvectors did not converge, try setting ABSTOL to 2*DLAMCH('S'). See "Computing Small Singular Values of Bidiagonal Matrices with Guaranteed High Relative Accuracy," by Demmel and Kahan, LAPACK Working Note #3.
[out]	m	INTEGER The total number of eigenvalues found. 0 <= M <= N. If RANGE = MagmaRangeAll, M = N, and if RANGE = MagmaRangeI, M = IU-IL+1.
[out]	w	DOUBLE PRECISION array, dimension (N) On normal exit, the first M elements contain the selected eigenvalues in ascending order.
[out]	dZ	COMPLEX_16 array, dimension (LDDZ, max(1,M)) If JOBZ = MagmaVec, then if INFO = 0, the first M columns of Z contain the orthonormal eigenvectors of the matrix A corresponding to the selected eigenvalues, with the i-th column of Z holding the eigenvector associated with W(i). If an eigenvector fails to converge, then that column of Z contains the latest approximation to the eigenvector, and the index of the eigenvector is returned in IFAIL. If JOBZ = MagmaNoVec, then Z is not referenced. Note: the user must ensure that at least max(1,M) columns are supplied in the array Z; if RANGE = MagmaRangeV, the exact value of M is not known in advance and an upper bound must be used. (workspace) If USE_MAGMABLAS_HEMV is defined DZ should be (LDDZ, max(1,N)) in both cases.
[in]	lddz	INTEGER The leading dimension of the array DZ. LDDZ >= 1, and if JOBZ = MagmaVec, LDDZ >= max(1,N).
	wA	(workspace) COMPLEX_16 array, dimension (LDWA, N)
[in]	ldwa	INTEGER The leading dimension of the array wA. LDWA >= max(1,N).
	wZ	(workspace) COMPLEX_16 array, dimension (LDWZ, max(1,M))
[in]	ldwz	INTEGER The leading dimension of the array wZ. LDWZ >= 1, and if JOBZ = MagmaVec, LDWZ >= max(1,N).
[out]	work	(workspace) COMPLEX_16 array, dimension (LWORK) On exit, if INFO = 0, WORK[0] returns the optimal LWORK.
[in]	lwork	INTEGER The length of the array WORK. LWORK >= (NB+1)*N, where NB is the max of the blocksize for ZHETRD. If LWORK = -1, then a workspace query is assumed; the routine only calculates the optimal size of the WORK array, returns this value as the first entry of the WORK array, and no error message related to LWORK is issued by XERBLA.
	rwork	(workspace) DOUBLE PRECISION array, dimension (7*N)
	iwork	(workspace) INTEGER array, dimension (5*N)
[out]	ifail	INTEGER array, dimension (N) If JOBZ = MagmaVec, then if INFO = 0, the first M elements of IFAIL are zero. If INFO > 0, then IFAIL contains the indices of the eigenvectors that failed to converge. If JOBZ = MagmaNoVec, then IFAIL is not referenced.
[out]	info	INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, then i eigenvectors failed to converge. Their indices are stored in array IFAIL.

Functions

Detailed Description

Function Documentation

◆ magma_cheevx()

◆ magma_cheevx_gpu()

◆ magma_zheevx()

◆ magma_zheevx_gpu()