CLARZB(3)

💖 NAME 💖

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/clarzb.f

okay bestie, this is CLARZB(3) from the Library Functions Manual, and the NAME section is literally just that file path 💅. Fortran docs really said “the vibes are the name” and honestly? iconic.

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✨ SYNOPSIS ✨

🎀 Functions/Subroutines 🎀

• subroutine CLARZB (side, trans, direct, storev, m, n, k, l, v, ldv, t, ldt, c, ldc, work, ldwork) — CLARZB applies a block reflector or its conjugate-transpose to a general matrix.

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🦋 Function/Subroutine Documentation 🦋

   subroutine CLARZB (character side, character trans, character direct,
       character storev, integer m, integer n, integer k, integer l, complex,
       dimension( ldv, * ) v, integer ldv, complex, dimension( ldt, * ) t,
       integer ldt, complex, dimension( ldc, * ) c, integer ldc, complex,
       dimension( ldwork, * ) work, integer ldwork)

CLARZB applies a block reflector or its conjugate-transpose to a general matrix. no cap, that’s the whole assignment ✨

🎀 Purpose 🎀

so what it do, bestie? It applies a complex block reflector H or its transpose H**H to a complex distributed M-by-N C from the left or the right 🫶

Currently, only STOREV = 'R' and DIRECT = 'B' are supported. That’s the vibe check, fr fr — don’t expect the other combos yet.

🌸 Parameters 🌸

• SIDE — is CHARACTER*1. = 'L': apply H or H**H from the Left; = 'R': apply H or H**H from the Right.
• TRANS — is CHARACTER*1. = 'N': apply H (No transpose); = 'C': apply H**H (Conjugate transpose).
• DIRECT — is CHARACTER*1. Tells you how H is formed from a product of elementary reflectors: = 'F': H = H(1) H(2) . . . H(k) (Forward, not supported yet); = 'B': H = H(k) . . . H(2) H(1) (Backward).
• STOREV — is CHARACTER*1. Tells you how the vectors which define the elementary reflectors are stored: = 'C': Columnwise (not supported yet); = 'R': Rowwise.
• M — is INTEGER. The number of rows of the matrix C.
• N — is INTEGER. The number of columns of the matrix C.
• K — is INTEGER. The order of the matrix T (= the number of elementary reflectors whose product defines the block reflector).
• L — is INTEGER. The number of columns of the matrix V containing the meaningful part of the Householder reflectors. If SIDE = 'L', M >= L >= 0; if SIDE = 'R', N >= L >= 0.
• V — is COMPLEX array, dimension (LDV,NV). If STOREV = 'C', NV = K; if STOREV = 'R', NV = L.
• LDV — is INTEGER. The leading dimension of the array V. If STOREV = 'C', LDV >= L; if STOREV = 'R', LDV >= K.
• T — is COMPLEX array, dimension (LDT,K). The triangular K-by-K matrix T in the representation of the block reflector.
• LDT — is INTEGER. The leading dimension of the array T. LDT >= K.
• C — is COMPLEX array, dimension (LDC,N). On entry, the M-by-N matrix C. On exit, C is overwritten by H*C or H**H*C or C*H or C*H**H.
• LDC — is INTEGER. The leading dimension of the array C. LDC >= max(1,M).
• WORK — is COMPLEX array, dimension (LDWORK,K).
• LDWORK — is INTEGER. The leading dimension of the array WORK. If SIDE = 'L', LDWORK >= max(1,N); if SIDE = 'R', LDWORK >= max(1,M).

👑 Author 👑

• Univ. of Tennessee
• Univ. of California Berkeley
• Univ. of Colorado Denver
• NAG Ltd.

💜 Contributors 💜

• A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA

⭐ Further Details ⭐

The original just has an empty !> here, bestie. That’s the whole further-details section — no extra lore, no secret snack 😭.

Definition at line 181 of file clarzb.f.

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🧚 Author 🧚

Generated automatically by Doxygen for LAPACK from the source code.

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okay that’s the whole page, bestie 🫶 LAPACK Version 3.12.0, from /home/abui...RC/clarzb.f(3) 💖✨