Functions
void	magma_chbtype2cb (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_chbtype2cb is a kernel that will operate on a region (triangle) of data bounded by st and ed.

void	magma_dsbtype2cb (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_dsbtype2cb is a kernel that will operate on a region (triangle) of data bounded by st and ed.

void	magma_ssbtype2cb (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_ssbtype2cb is a kernel that will operate on a region (triangle) of data bounded by st and ed.

void	magma_zhbtype2cb (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_zhbtype2cb is a kernel that will operate on a region (triangle) of data bounded by st and ed.

Detailed Description

Function Documentation

◆ magma_chbtype2cb()

void magma_chbtype2cb	(	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_chbtype2cb is a kernel that will operate on a region (triangle) of data bounded by st and ed.

This kernel apply the right update remaining from the type1 and this later will create a bulge so it eliminate the first column of the created bulge and do the corresponding Left update.

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)
[in,out]	V	magmaFloatComplex array, dimension 2n if eigenvalue only requested or (LDVblkcnt*Vblksiz) if Eigenvectors requested The Householder reflectors of the previous type 1 are used here to continue update then new one are generated to eliminate the bulge and stored in this array.
[in]	ldv	The leading dimension of the matrix V. ldv >= TODO.
[in,out]	TAU	magmaFloatComplex array, dimension (n). The scalar factors of the Householder reflectors of the previous type 1 are used here to continue update then new one are generated to eliminate the bulge and 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_dsbtype2cb()

void magma_dsbtype2cb	(	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_dsbtype2cb is a kernel that will operate on a region (triangle) of data bounded by st and ed.

This kernel apply the right update remaining from the type1 and this later will create a bulge so it eliminate the first column of the created bulge and do the corresponding Left update.

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)
[in,out]	V	double array, dimension 2n if eigenvalue only requested or (LDVblkcnt*Vblksiz) if Eigenvectors requested The Householder reflectors of the previous type 1 are used here to continue update then new one are generated to eliminate the bulge and stored in this array.
[in]	ldv	The leading dimension of the matrix V. ldv >= TODO.
[in,out]	TAU	double array, dimension (n). The scalar factors of the Householder reflectors of the previous type 1 are used here to continue update then new one are generated to eliminate the bulge and 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_ssbtype2cb()

void magma_ssbtype2cb	(	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_ssbtype2cb is a kernel that will operate on a region (triangle) of data bounded by st and ed.

This kernel apply the right update remaining from the type1 and this later will create a bulge so it eliminate the first column of the created bulge and do the corresponding Left update.

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)
[in,out]	V	float array, dimension 2n if eigenvalue only requested or (LDVblkcnt*Vblksiz) if Eigenvectors requested The Householder reflectors of the previous type 1 are used here to continue update then new one are generated to eliminate the bulge and stored in this array.
[in]	ldv	The leading dimension of the matrix V. ldv >= TODO.
[in,out]	TAU	float array, dimension (n). The scalar factors of the Householder reflectors of the previous type 1 are used here to continue update then new one are generated to eliminate the bulge and 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_zhbtype2cb()

void magma_zhbtype2cb	(	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_zhbtype2cb is a kernel that will operate on a region (triangle) of data bounded by st and ed.

This kernel apply the right update remaining from the type1 and this later will create a bulge so it eliminate the first column of the created bulge and do the corresponding Left update.

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)
[in,out]	V	magmaDoubleComplex array, dimension 2n if eigenvalue only requested or (LDVblkcnt*Vblksiz) if Eigenvectors requested The Householder reflectors of the previous type 1 are used here to continue update then new one are generated to eliminate the bulge and stored in this array.
[in]	ldv	The leading dimension of the matrix V. ldv >= TODO.
[in,out]	TAU	magmaDoubleComplex array, dimension (n). The scalar factors of the Householder reflectors of the previous type 1 are used here to continue update then new one are generated to eliminate the bulge and 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_chbtype2cb()

◆ magma_dsbtype2cb()

◆ magma_ssbtype2cb()

◆ magma_zhbtype2cb()