SRC/clarf.f(3)

💖 SRC/clarf.f(3) 💖

okay so bestie, this is the Library Functions Manual page for SRC/clarf.f — the SRC/clarf.f(3) glow-up. It's giving Fortran linear algebra main character energy, and honestly? iconic. 🫶✨

🌸 NAME 🌸

SRC/clarf.f

✨ SYNOPSIS ✨

🧩 Functions/Subroutines 🧩

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

CLARF applies an elementary reflector to a general rectangular matrix.

🛠️ Function/Subroutine Documentation 🛠️

🧚 subroutine clarf

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.

🎯 Purpose

okay 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 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 COMPLEX array, dimension (1 + (M-1)*abs(INCV)) if SIDE = 'L', or (1 + (N-1)*abs(INCV)) if SIDE = 'R'. 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

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