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

💅 NAME 💅

Okay bestie, this is the Library Functions Manual entry for /home/abui...RC/clarz.f(3), and the actual source file it’s serving is /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/clarz.f. It’s giving “tiny source file, big linear-algebra energy.” ✨

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🌸 SYNOPSIS 🌸

Functions/Subroutines

subroutine CLARZ (side, m, n, l, v, incv, tau, c, ldc, work)
    CLARZ applies an elementary reflector (as returned by stzrzf) to a
    general matrix.

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🦋 Function/Subroutine Documentation 🦋

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

CLARZ applies an elementary reflector (as returned by stzrzf) to a general matrix.

✨ Purpose ✨

CLARZ 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.

H is a product of k elementary reflectors as returned by CTZRZF.

🎀 Parameters 🎀

• SIDE — SIDE is CHARACTER*1; = 'L': form H * C; = 'R': form C * H. Pick your side, bestie. 💅
• M — M is INTEGER; the number of rows of the matrix C.
• N — N is INTEGER; the number of columns of the matrix C.
• L — L is INTEGER; the number of entries of the vector V containing the meaningful part of the Householder vectors. If SIDE = 'L', M >= L >= 0, if SIDE = 'R', N >= L >= 0.
• V — V is COMPLEX array, dimension (1+(L-1)*abs(INCV)); the vector v in the representation of H as returned by CTZRZF. V is not used if TAU = 0.
• INCV — INCV is INTEGER; the increment between elements of v. INCV <> 0. Do not test her with zero, fr fr.
• 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.

🌈 Contributors: 🌈

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

💜 Further Details: 💜

(No extra details here, bestie — it’s an empty little !> moment. The vibe check is: nothing more.)

Definition at line 146 of file clarz.f.

⭐ Author ⭐

Generated automatically by Doxygen for LAPACK from the source code.

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That’s the whole page, bestie. The footer/source vibes are LAPACK Version 3.12.0 and the page path /home/abui...RC/clarz.f(3); there’s no separate date listed on the page. 🫶💖✨