SRC/zhb2st_kernels.f(3)

🌸 SRC/zhb2st_kernels.f(3) 🌸

okay bestie, welcome to the Library Functions Manual page for SRC/zhb2st_kernels.f — it's giving internal LAPACK kernel energy, and we are going through every single detail together. no skipping, no cap. 💖

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💖 NAME 💖

SRC/zhb2st_kernels.f — that's the file this page is about, periodt. ✨

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✨ SYNOPSIS ✨

🧚 Functions/Subroutines 🧚

   subroutine zhb2st_kernels (uplo, wantz, ttype, st, ed, sweep, n, nb, ib,
       a, lda, v, tau, ldvt, work)
           ZHB2ST_KERNELS

lowkey the whole synopsis vibe is: one subroutine, zhb2st_kernels, plus its uppercase alter ego ZHB2ST_KERNELS. 🫶

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💅 Function/Subroutine Documentation 💅

here's the full signature, copied exactly because bestie we do not mess with code:

   subroutine zhb2st_kernels (character uplo, logical wantz, integer ttype,
       integer st, integer ed, integer sweep, integer n, integer nb,
       integer ib, complex*16, dimension( lda, * ) a, integer lda, complex*16,
       dimension( * ) v, complex*16, dimension( * ) tau, integer ldvt,
       complex*16, dimension( * ) work)
       ZHB2ST_KERNELS

🎯 Purpose 🎯

ZHB2ST_KERNELS is an internal routine used by the ZHETRD_HB2ST subroutine. that's the whole purpose, and honestly it's iconic in a behind-the-scenes way. 🌟

🧸 Parameters 🧸

• UPLO — UPLO is CHARACTER*1.
• WANTZ — a LOGICAL; it tells you whether eigenvalues are requested, or both eigenvalues/eigenvectors. 💫
• TTYPE — TTYPE is INTEGER.
• ST — ST is INTEGER, an internal parameter for indices.
• ED — ED is INTEGER, an internal parameter for indices.
• SWEEP — SWEEP is INTEGER, an 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.

📚 Further Details 📚

• 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

📍 Definition at line 📍

Definition at line 169 of file zhb2st_kernels.f. 📌

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👑 Author 👑

Generated automatically by Doxygen for LAPACK from the source code. 🤖💖

okay that's the whole page, bestie — LAPACK, Version 3.12.0, SRC/zhb2st_kernels.f(3), and we are so out. 💅✨