SRC/zlarf1l.f(3)

🌸 NAME 🌸

SRC/zlarf1l.f — that's the Library Functions Manual page for this one, bestie. 💖

✨ SYNOPSIS ✨

🎀 Functions/Subroutines 🎀

subroutine zlarf1l (side, m, n, v, incv, tau, c, ldc, work)
           ZLARF1L applies an elementary reflector to a general rectangular

🧚 Function/Subroutine Documentation 🧚

💅 subroutine zlarf1l 💅

subroutine zlarf1l (character side, integer m, integer n, complex*16,
       dimension( * ) v, integer incv, complex*16 tau, complex*16, dimension(
       ldc, * ) c, integer ldc, complex*16, dimension( * ) work)

ZLARF1L applies an elementary reflector to a general rectangular.

🎯 Purpose

okay so the whole point: ZLARF1L 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 real scalar and v is a real vector assuming v(lastv) = 1, where lastv is the last non-zero element.

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 of 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 a COMPLEX*16 array, dimension
  • (1 + (M-1)*abs(INCV)) if SIDE = 'L'
  • or (1 + (N-1)*abs(INCV)) if SIDE = 'R'

This is 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*16; the value tau in the representation of H.
• C — C is a COMPLEX*16 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 a COMPLEX*16 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 131 of file zlarf1l.f.

📝 Author 📝

Generated automatically by Doxygen for LAPACK from the source code.

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That's the whole vibe from SRC/zlarf1l.f(3), LAPACK Version 3.12.0. 💖✨👑