/home/abui...RC/clarf.f(3)

🌸 NAME 🌸

okay so the NAME line is honestly just this whole path, bestie, no cute shortcut:

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

This page is clarf.f(3) from the Library Functions Manual, and it’s all about CLARF applying an elementary reflector to a general rectangular matrix. 💅

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✨ SYNOPSIS ✨

🧚 Functions/Subroutines

subroutine CLARF (side, m, n, v, incv, tau, c, ldc, work)

CLARF applies an elementary reflector to a general rectangular matrix. no cap, that’s the whole vibe 🫶

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🌟 Function/Subroutine Documentation 🌟

subroutine CLARF (character side, integer m, integer n, complex, dimension(
    * ) v, integer incv, complex tau, complex, dimension( ldc, * ) c,
    integer ldc, complex, dimension( * ) work)

CLARF applies an elementary reflector to a general rectangular matrix. iconic behavior, honestly 👑

🎯 Purpose

ok so CLARF applies a complex elementary reflector H to a complex M-by-N matrix C, from either the left or the right. H is represented in the form

H = I - tau * v * v**H

where tau is a complex scalar and v is a complex vector.

If tau = 0, then H is taken to be the unit matrix.

To apply H**H (the conjugate transpose of H), supply conjg(tau) instead tau.

🧸 Parameters

• SIDE — SIDE is CHARACTER*1; = 'L': form H * C; = 'R': form C * H.
• M — M is INTEGER; the number of rows of the matrix C.
• N — N is INTEGER; the number of columns of the matrix C.
• V — V is COMPLEX array, dimension

(1 + (M-1)*abs(INCV)) if SIDE = 'L'
or (1 + (N-1)*abs(INCV)) if SIDE = 'R'

It’s the vector v in the representation of H. V is not used if TAU = 0.

• INCV — INCV is INTEGER; the increment between elements of v. INCV <> 0.
• TAU — TAU is COMPLEX; the value tau in the representation of H.
• C — C is COMPLEX array, dimension (LDC,N). On entry, the M-by-N matrix C. On exit, C is overwritten by the matrix H * C if SIDE = 'L', or C * H if SIDE = 'R'.
• LDC — LDC is INTEGER; the leading dimension of the array C. LDC >= max(1,M).
• WORK — WORK is COMPLEX array, dimension

(N) if SIDE = 'L'
or (M) if SIDE = 'R'

👑 Author

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

Definition at line 127 of file clarf.f.

👑 Author

Generated automatically by Doxygen for LAPACK from the source code.

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bye bestie 💖 signing off with LAPACK Version 3.12.0 and the page path /home/abui...RC/clarf.f(3) — that’s the footer tea 🎀✨