MAGMA  2.3.0 Matrix Algebra for GPU and Multicore Architectures

## 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. More...

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. More...

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. More...

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. More...

## Function Documentation

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