hb2st_kernels - {hb,sb}2st_kernels: band to tridiagonal (2nd stage)

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subroutinechb2st_kernels(characteruplo,logicalwantz,integerttype,integerst,integered,integersweep,integern,integernb,integerib,complex,dimension(lda,*)a,integerlda,complex,dimension(*)v,complex,dimension(*)tau,integerldvt,complex,dimension(*)work)CHB2ST_KERNELSPurpose: CHB2ST_KERNELS is an internal routine used by the CHETRD_HB2ST subroutine. ParametersUPLO UPLO is CHARACTER*1 WANTZ WANTZ is LOGICAL which indicate if Eigenvalue are requested or both Eigenvalue/Eigenvectors. TTYPE TTYPE is INTEGER ST ST is INTEGER internal parameter for indices. ED ED is INTEGER internal parameter for indices. SWEEP SWEEP is INTEGER internal parameter for indices. N N is INTEGER. The order of the matrix A. NB NB is INTEGER. The size of the band. IB IB is INTEGER. A A is COMPLEX array. A pointer to the matrix A. LDA LDA is INTEGER. The leading dimension of the matrix A. V V is COMPLEX array, dimension 2*n if eigenvalues only are requested or to be queried for vectors. TAU TAU is COMPLEX array, dimension (2*n). The scalar factors of the Householder reflectors are stored in this array. LDVT LDVT is INTEGER. WORK WORK is COMPLEX array. Workspace of size nb. FurtherDetails: Implemented by Azzam Haidar. All details are available on technical report, SC11, SC13 papers. Azzam Haidar, Hatem Ltaief, and Jack Dongarra. 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), New York, NY, USA, Article 8 , 11 pages. http://doi.acm.org/10.1145/2063384.2063394 A. Haidar, J. Kurzak, P. Luszczek, 2013. An improved parallel singular value algorithm and its implementation for multicore hardware, In Proceedings of 2013 International Conference for High Performance Computing, Networking, Storage and Analysis (SC '13). Denver, Colorado, USA, 2013. Article 90, 12 pages. http://doi.acm.org/10.1145/2503210.2503292 A. Haidar, R. Solca, S. Tomov, T. Schulthess and J. Dongarra. A novel hybrid CPU-GPU generalized eigensolver for electronic structure calculations based on fine-grained memory aware tasks. International Journal of High Performance Computing Applications. Volume 28 Issue 2, Pages 196-209, May 2014. http://hpc.sagepub.com/content/28/2/196subroutinedsb2st_kernels(characteruplo,logicalwantz,integerttype,integerst,integered,integersweep,integern,integernb,integerib,doubleprecision,dimension(lda,*)a,integerlda,doubleprecision,dimension(*)v,doubleprecision,dimension(*)tau,integerldvt,doubleprecision,dimension(*)work)DSB2ST_KERNELSPurpose: DSB2ST_KERNELS is an internal routine used by the DSYTRD_SB2ST subroutine. ParametersUPLO UPLO is CHARACTER*1 WANTZ WANTZ is LOGICAL which indicate if Eigenvalue are requested or both Eigenvalue/Eigenvectors. TTYPE TTYPE is INTEGER ST ST is INTEGER internal parameter for indices. ED ED is INTEGER internal parameter for indices. SWEEP SWEEP is INTEGER internal parameter for indices. N N is INTEGER. The order of the matrix A. NB NB is INTEGER. The size of the band. IB IB is INTEGER. A A is DOUBLE PRECISION array. A pointer to the matrix A. LDA LDA is INTEGER. The leading dimension of the matrix A. V V is DOUBLE PRECISION array, dimension 2*n if eigenvalues only are requested or to be queried for vectors. TAU TAU is DOUBLE PRECISION array, dimension (2*n). The scalar factors of the Householder reflectors are stored in this array. LDVT LDVT is INTEGER. WORK WORK is DOUBLE PRECISION array. Workspace of size nb. FurtherDetails: Implemented by Azzam Haidar. All details are available on technical report, SC11, SC13 papers. Azzam Haidar, Hatem Ltaief, and Jack Dongarra. 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), New York, NY, USA, Article 8 , 11 pages. http://doi.acm.org/10.1145/2063384.2063394 A. Haidar, J. Kurzak, P. Luszczek, 2013. An improved parallel singular value algorithm and its implementation for multicore hardware, In Proceedings of 2013 International Conference for High Performance Computing, Networking, Storage and Analysis (SC '13). Denver, Colorado, USA, 2013. Article 90, 12 pages. http://doi.acm.org/10.1145/2503210.2503292 A. Haidar, R. Solca, S. Tomov, T. Schulthess and J. Dongarra. A novel hybrid CPU-GPU generalized eigensolver for electronic structure calculations based on fine-grained memory aware tasks. International Journal of High Performance Computing Applications. Volume 28 Issue 2, Pages 196-209, May 2014. http://hpc.sagepub.com/content/28/2/196subroutinessb2st_kernels(characteruplo,logicalwantz,integerttype,integerst,integered,integersweep,integern,integernb,integerib,real,dimension(lda,*)a,integerlda,real,dimension(*)v,real,dimension(*)tau,integerldvt,real,dimension(*)work)SSB2ST_KERNELSPurpose: SSB2ST_KERNELS is an internal routine used by the SSYTRD_SB2ST subroutine. ParametersUPLO UPLO is CHARACTER*1 WANTZ WANTZ is LOGICAL which indicate if Eigenvalue are requested or both Eigenvalue/Eigenvectors. TTYPE TTYPE is INTEGER ST ST is INTEGER internal parameter for indices. ED ED is INTEGER internal parameter for indices. SWEEP SWEEP is INTEGER internal parameter for indices. N N is INTEGER. The order of the matrix A. NB NB is INTEGER. The size of the band. IB IB is INTEGER. A A is REAL array. A pointer to the matrix A. LDA LDA is INTEGER. The leading dimension of the matrix A. V V is REAL array, dimension 2*n if eigenvalues only are requested or to be queried for vectors. TAU TAU is REAL array, dimension (2*n). The scalar factors of the Householder reflectors are stored in this array. LDVT LDVT is INTEGER. WORK WORK is REAL array. Workspace of size nb. FurtherDetails: Implemented by Azzam Haidar. All details are available on technical report, SC11, SC13 papers. Azzam Haidar, Hatem Ltaief, and Jack Dongarra. 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), New York, NY, USA, Article 8 , 11 pages. http://doi.acm.org/10.1145/2063384.2063394 A. Haidar, J. Kurzak, P. Luszczek, 2013. An improved parallel singular value algorithm and its implementation for multicore hardware, In Proceedings of 2013 International Conference for High Performance Computing, Networking, Storage and Analysis (SC '13). Denver, Colorado, USA, 2013. Article 90, 12 pages. http://doi.acm.org/10.1145/2503210.2503292 A. Haidar, R. Solca, S. Tomov, T. Schulthess and J. Dongarra. A novel hybrid CPU-GPU generalized eigensolver for electronic structure calculations based on fine-grained memory aware tasks. International Journal of High Performance Computing Applications. Volume 28 Issue 2, Pages 196-209, May 2014. http://hpc.sagepub.com/content/28/2/196subroutinezhb2st_kernels(characteruplo,logicalwantz,integerttype,integerst,integered,integersweep,integern,integernb,integerib,complex*16,dimension(lda,*)a,integerlda,complex*16,dimension(*)v,complex*16,dimension(*)tau,integerldvt,complex*16,dimension(*)work)ZHB2ST_KERNELSPurpose: ZHB2ST_KERNELS is an internal routine used by the ZHETRD_HB2ST subroutine. ParametersUPLO UPLO is CHARACTER*1 WANTZ WANTZ is LOGICAL which indicate if Eigenvalue are requested or both Eigenvalue/Eigenvectors. TTYPE TTYPE is INTEGER ST ST is INTEGER internal parameter for indices. ED ED is INTEGER internal parameter for indices. SWEEP SWEEP is INTEGER internal parameter for indices. N N is INTEGER. The order of the matrix A. NB NB is INTEGER. The size of the band. IB IB is INTEGER. A A is COMPLEX*16 array. A pointer to the matrix A. LDA LDA is INTEGER. The leading dimension of the matrix A. V V is COMPLEX*16 array, dimension 2*n if eigenvalues only are requested or to be queried for vectors. TAU TAU is COMPLEX*16 array, dimension (2*n). The scalar factors of the Householder reflectors are stored in this array. LDVT LDVT is INTEGER. WORK WORK is COMPLEX*16 array. Workspace of size nb. FurtherDetails: Implemented by Azzam Haidar. All details are available on technical report, SC11, SC13 papers. Azzam Haidar, Hatem Ltaief, and Jack Dongarra. 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), New York, NY, USA, Article 8 , 11 pages. http://doi.acm.org/10.1145/2063384.2063394 A. Haidar, J. Kurzak, P. Luszczek, 2013. An improved parallel singular value algorithm and its implementation for multicore hardware, In Proceedings of 2013 International Conference for High Performance Computing, Networking, Storage and Analysis (SC '13). Denver, Colorado, USA, 2013. Article 90, 12 pages. http://doi.acm.org/10.1145/2503210.2503292 A. Haidar, R. Solca, S. Tomov, T. Schulthess and J. Dongarra. A novel hybrid CPU-GPU generalized eigensolver for electronic structure calculations based on fine-grained memory aware tasks. International Journal of High Performance Computing Applications. Volume 28 Issue 2, Pages 196-209, May 2014. http://hpc.sagepub.com/content/28/2/196

hb2st_kernels - {hb,sb}2st_kernels: band to tridiagonal (2nd stage)

Functions subroutine chb2st_kernels (uplo, wantz, ttype, st, ed, sweep, n, nb, ib, a, lda, v, tau, ldvt, work) CHB2ST_KERNELS subroutine dsb2st_kernels (uplo, wantz, ttype, st, ed, sweep, n, nb, ib, a, lda, v, tau, ldvt, work) DSB2ST_KERNELS subroutine ssb2st_kernels (uplo, wantz, ttype, st, ed, sweep, n, nb, ib, a, lda, v, tau, ldvt, work) SSB2ST_KERNELS subroutine zhb2st_kernels (uplo, wantz, ttype, st, ed, sweep, n, nb, ib, a, lda, v, tau, ldvt, work) ZHB2ST_KERNELS