Functions
void	magma_chbtype1cb (magma_int_t n, magma_int_t nb, magmaFloatComplex A, magma_int_t lda, magmaFloatComplex V, magma_int_t ldv, magmaFloatComplex TAU, magma_int_t st, magma_int_t ed, magma_int_t sweep, magma_int_t Vblksiz, magma_int_t wantz, magmaFloatComplex work)
	magma_chbtype1cb is a kernel that will operate on a region (triangle) of data bounded by st and ed.

void	magma_dsbtype1cb (magma_int_t n, magma_int_t nb, double A, magma_int_t lda, double V, magma_int_t ldv, double TAU, magma_int_t st, magma_int_t ed, magma_int_t sweep, magma_int_t Vblksiz, magma_int_t wantz, double work)
	magma_dsbtype1cb is a kernel that will operate on a region (triangle) of data bounded by st and ed.

void	magma_ssbtype1cb (magma_int_t n, magma_int_t nb, float A, magma_int_t lda, float V, magma_int_t ldv, float TAU, magma_int_t st, magma_int_t ed, magma_int_t sweep, magma_int_t Vblksiz, magma_int_t wantz, float work)
	magma_ssbtype1cb is a kernel that will operate on a region (triangle) of data bounded by st and ed.

void	magma_zhbtype1cb (magma_int_t n, magma_int_t nb, magmaDoubleComplex A, magma_int_t lda, magmaDoubleComplex V, magma_int_t ldv, magmaDoubleComplex TAU, magma_int_t st, magma_int_t ed, magma_int_t sweep, magma_int_t Vblksiz, magma_int_t wantz, magmaDoubleComplex work)
	magma_zhbtype1cb is a kernel that will operate on a region (triangle) of data bounded by st and ed.

Detailed Description

Function Documentation

◆ magma_chbtype1cb()

void magma_chbtype1cb	(	magma_int_t	n,
		magma_int_t	nb,
		magmaFloatComplex *	A,
		magma_int_t	lda,
		magmaFloatComplex *	V,
		magma_int_t	ldv,
		magmaFloatComplex *	TAU,
		magma_int_t	st,
		magma_int_t	ed,
		magma_int_t	sweep,
		magma_int_t	Vblksiz,
		magma_int_t	wantz,
		magmaFloatComplex *	work )

magma_chbtype1cb is a kernel that will operate on a region (triangle) of data bounded by st and ed.

This kernel eliminate a column by an column-wise annihiliation, then it apply a left+right update on the Hermitian triangle. Note that the column to be eliminated is located at st-1.

All detail are available on technical report or SC11 paper. Azzam Haidar, Hatem Ltaief, and Jack Dongarra. 2011. Parallel reduction to condensed forms for symmetric eigenvalue problems using aggregated fine-grained and memory-aware kernels. In Proceedings of 2011 International Conference for High Performance Computing, Networking, Storage and Analysis (SC '11). ACM, New York, NY, USA, Article 8, 11 pages. http://doi.acm.org/10.1145/2063384.2063394

Parameters

[in]	n	The order of the matrix A.
[in]	nb	The size of the band.
[in,out]	A	A pointer to the matrix A of size (2*nb+1)-by-n.
[in]	lda	The leading dimension of the matrix A. lda >= max(1,2*nb+1)
[out]	V	magmaFloatComplex array, dimension 2n if eigenvalue only requested or (ldvblkcnt*Vblksiz) if Eigenvectors requested The Householder reflectors are stored in this array.
[in]	ldv	The leading dimension of the matrix V. ldv >= TODO.
[out]	TAU	magmaFloatComplex array, dimension (n). The scalar factors of the Householder reflectors are stored in this array.
[in]	st	A pointer to the start index where this kernel will operate.
[in]	ed	A pointer to the end index where this kernel will operate.
[in]	sweep	The sweep number that is eliminated. it serve to calculate the pointer to the position where to store the Vs and Ts.
[in]	Vblksiz	constant which correspond to the blocking used when applying the Vs. it serve to calculate the pointer to the position where to store the Vs and Ts.
[in]	wantz	constant which indicate if Eigenvalue are requested or both Eigenvalue/Eigenvectors.
[in]	work	Workspace of size nb.

Returns

Return values

MAGMA_SUCCESS	successful exit
<	0 if -i, the i-th argument had an illegal value

◆ magma_dsbtype1cb()

void magma_dsbtype1cb	(	magma_int_t	n,
		magma_int_t	nb,
		double *	A,
		magma_int_t	lda,
		double *	V,
		magma_int_t	ldv,
		double *	TAU,
		magma_int_t	st,
		magma_int_t	ed,
		magma_int_t	sweep,
		magma_int_t	Vblksiz,
		magma_int_t	wantz,
		double *	work )

magma_dsbtype1cb is a kernel that will operate on a region (triangle) of data bounded by st and ed.

This kernel eliminate a column by an column-wise annihiliation, then it apply a left+right update on the symmetric triangle. Note that the column to be eliminated is located at st-1.

All detail are available on technical report or SC11 paper. Azzam Haidar, Hatem Ltaief, and Jack Dongarra. 2011. Parallel reduction to condensed forms for symmetric eigenvalue problems using aggregated fine-grained and memory-aware kernels. In Proceedings of 2011 International Conference for High Performance Computing, Networking, Storage and Analysis (SC '11). ACM, New York, NY, USA, Article 8, 11 pages. http://doi.acm.org/10.1145/2063384.2063394

Parameters

[in]	n	The order of the matrix A.
[in]	nb	The size of the band.
[in,out]	A	A pointer to the matrix A of size (2*nb+1)-by-n.
[in]	lda	The leading dimension of the matrix A. lda >= max(1,2*nb+1)
[out]	V	double array, dimension 2n if eigenvalue only requested or (ldvblkcnt*Vblksiz) if Eigenvectors requested The Householder reflectors are stored in this array.
[in]	ldv	The leading dimension of the matrix V. ldv >= TODO.
[out]	TAU	double array, dimension (n). The scalar factors of the Householder reflectors are stored in this array.
[in]	st	A pointer to the start index where this kernel will operate.
[in]	ed	A pointer to the end index where this kernel will operate.
[in]	sweep	The sweep number that is eliminated. it serve to calculate the pointer to the position where to store the Vs and Ts.
[in]	Vblksiz	constant which correspond to the blocking used when applying the Vs. it serve to calculate the pointer to the position where to store the Vs and Ts.
[in]	wantz	constant which indicate if Eigenvalue are requested or both Eigenvalue/Eigenvectors.
[in]	work	Workspace of size nb.

Returns

Return values

MAGMA_SUCCESS	successful exit
<	0 if -i, the i-th argument had an illegal value

◆ magma_ssbtype1cb()

void magma_ssbtype1cb	(	magma_int_t	n,
		magma_int_t	nb,
		float *	A,
		magma_int_t	lda,
		float *	V,
		magma_int_t	ldv,
		float *	TAU,
		magma_int_t	st,
		magma_int_t	ed,
		magma_int_t	sweep,
		magma_int_t	Vblksiz,
		magma_int_t	wantz,
		float *	work )

magma_ssbtype1cb is a kernel that will operate on a region (triangle) of data bounded by st and ed.

This kernel eliminate a column by an column-wise annihiliation, then it apply a left+right update on the symmetric triangle. Note that the column to be eliminated is located at st-1.

All detail are available on technical report or SC11 paper. Azzam Haidar, Hatem Ltaief, and Jack Dongarra. 2011. Parallel reduction to condensed forms for symmetric eigenvalue problems using aggregated fine-grained and memory-aware kernels. In Proceedings of 2011 International Conference for High Performance Computing, Networking, Storage and Analysis (SC '11). ACM, New York, NY, USA, Article 8, 11 pages. http://doi.acm.org/10.1145/2063384.2063394

Parameters

[in]	n	The order of the matrix A.
[in]	nb	The size of the band.
[in,out]	A	A pointer to the matrix A of size (2*nb+1)-by-n.
[in]	lda	The leading dimension of the matrix A. lda >= max(1,2*nb+1)
[out]	V	float array, dimension 2n if eigenvalue only requested or (ldvblkcnt*Vblksiz) if Eigenvectors requested The Householder reflectors are stored in this array.
[in]	ldv	The leading dimension of the matrix V. ldv >= TODO.
[out]	TAU	float array, dimension (n). The scalar factors of the Householder reflectors are stored in this array.
[in]	st	A pointer to the start index where this kernel will operate.
[in]	ed	A pointer to the end index where this kernel will operate.
[in]	sweep	The sweep number that is eliminated. it serve to calculate the pointer to the position where to store the Vs and Ts.
[in]	Vblksiz	constant which correspond to the blocking used when applying the Vs. it serve to calculate the pointer to the position where to store the Vs and Ts.
[in]	wantz	constant which indicate if Eigenvalue are requested or both Eigenvalue/Eigenvectors.
[in]	work	Workspace of size nb.

Returns

Return values

MAGMA_SUCCESS	successful exit
<	0 if -i, the i-th argument had an illegal value

◆ magma_zhbtype1cb()

void magma_zhbtype1cb	(	magma_int_t	n,
		magma_int_t	nb,
		magmaDoubleComplex *	A,
		magma_int_t	lda,
		magmaDoubleComplex *	V,
		magma_int_t	ldv,
		magmaDoubleComplex *	TAU,
		magma_int_t	st,
		magma_int_t	ed,
		magma_int_t	sweep,
		magma_int_t	Vblksiz,
		magma_int_t	wantz,
		magmaDoubleComplex *	work )

magma_zhbtype1cb is a kernel that will operate on a region (triangle) of data bounded by st and ed.

This kernel eliminate a column by an column-wise annihiliation, then it apply a left+right update on the Hermitian triangle. Note that the column to be eliminated is located at st-1.

All detail are available on technical report or SC11 paper. Azzam Haidar, Hatem Ltaief, and Jack Dongarra. 2011. Parallel reduction to condensed forms for symmetric eigenvalue problems using aggregated fine-grained and memory-aware kernels. In Proceedings of 2011 International Conference for High Performance Computing, Networking, Storage and Analysis (SC '11). ACM, New York, NY, USA, Article 8, 11 pages. http://doi.acm.org/10.1145/2063384.2063394

Parameters

[in]	n	The order of the matrix A.
[in]	nb	The size of the band.
[in,out]	A	A pointer to the matrix A of size (2*nb+1)-by-n.
[in]	lda	The leading dimension of the matrix A. lda >= max(1,2*nb+1)
[out]	V	magmaDoubleComplex array, dimension 2n if eigenvalue only requested or (ldvblkcnt*Vblksiz) if Eigenvectors requested The Householder reflectors are stored in this array.
[in]	ldv	The leading dimension of the matrix V. ldv >= TODO.
[out]	TAU	magmaDoubleComplex array, dimension (n). The scalar factors of the Householder reflectors are stored in this array.
[in]	st	A pointer to the start index where this kernel will operate.
[in]	ed	A pointer to the end index where this kernel will operate.
[in]	sweep	The sweep number that is eliminated. it serve to calculate the pointer to the position where to store the Vs and Ts.
[in]	Vblksiz	constant which correspond to the blocking used when applying the Vs. it serve to calculate the pointer to the position where to store the Vs and Ts.
[in]	wantz	constant which indicate if Eigenvalue are requested or both Eigenvalue/Eigenvectors.
[in]	work	Workspace of size nb.

Returns

Return values

MAGMA_SUCCESS	successful exit
<	0 if -i, the i-th argument had an illegal value

Functions

Detailed Description

Function Documentation

◆ magma_chbtype1cb()

◆ magma_dsbtype1cb()

◆ magma_ssbtype1cb()

◆ magma_zhbtype1cb()