SLARZB(3)

💅 NAME 💅

okay bestie, welcome to SLARZB(3) from the Library Functions Manual — header shorthand is /home/abui...RC/slarzb.f(3), and the NAME section is literally just the source file path:

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

That's the whole NAME vibe. No extra lore, no cap. 💖

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✨ SYNOPSIS ✨

🎀 Functions/Subroutines 🎀

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

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💖 Function/Subroutine Documentation 💖

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

SLARZB applies a block reflector or its transpose to a general matrix.

🌸 Purpose

SLARZB applies a real block reflector H or its transpose H**T to a real distributed M-by-N C from the left or the right.

💀 Heads up bestie: currently, only STOREV = 'R' and DIRECT = 'B' are supported.

🌈 Parameters

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

!>

Definition at line 181 of file slarzb.f.

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📝 Author 📝

Generated automatically by Doxygen for LAPACK from the source code.

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okay bestie, that's the whole page 💖. Cute sign-off: LAPACK Version 3.12.0, source /home/abui...RC/slarzb.f(3). There's no date printed in the footer — just version and path, fr fr. 🎀