MAGMA  2.3.0 Matrix Algebra for GPU and Multicore Architectures

## 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. More...

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. More...

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. More...

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. More...

## Function Documentation

 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 2*n if eigenvalue only requested or (ldv*blkcnt*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
 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 2*n if eigenvalue only requested or (ldv*blkcnt*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
 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 2*n if eigenvalue only requested or (ldv*blkcnt*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
 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 2*n if eigenvalue only requested or (ldv*blkcnt*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