CLARFY(3)

📦 version 3.12.0, in opensuse-leap 16.0

💅 CLARFY(3) — Library Functions Manual 💅

Okay so, bestie, gather round. The header vibe is /home/abui...IG/clarfy.f(3) and Library Functions Manual, and this page is all about the CLARFY subroutine. No cap, it's giving LAPACK documentation, so we're keeping every parameter, every dimension, and every line number. I'm lowkey obsessed with how clean this signature is. Let's go. 🫶

🎀 NAME 🎀

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/EIG/clarfy.f

🌸 SYNOPSIS 🌸

Functions/Subroutines

subroutine CLARFY (uplo, n, v, incv, tau, c, ldc, work)
    CLARFY

🦋 Function/Subroutine Documentation 🦋

subroutine CLARFY (character uplo, integer n, complex, dimension( * ) v, integer incv, complex tau, complex, dimension( ldc, * ) c, integer ldc, complex, dimension( * ) work)

CLARFY

✨ Purpose:

CLARFY applies an elementary reflector, or Householder matrix, H, to an n x n Hermitian matrix C, from both the left and the right.

H is represented in the form

H = I - tau * v * v'

where tau is a scalar and v is a vector.

If tau is zero, then H is taken to be the unit matrix. 💀 (Iconic zero-tau behavior, honestly.)

🎯 Parameters

  • UPLO — UPLO is CHARACTER*1. Specifies whether the upper or lower triangular part of the Hermitian matrix C is stored. = 'U': Upper triangle. = 'L': Lower triangle.
  • N — N is INTEGER. The number of rows and columns of the matrix C. N >= 0.
  • V — V is COMPLEX array, dimension (1 + (N-1)*abs(INCV)). The vector v as described above.
  • INCV — INCV is INTEGER. The increment between successive elements of v. INCV must not be zero.
  • TAU — TAU is COMPLEX. The value tau as described above.
  • C — C is COMPLEX array, dimension (LDC, N). On entry, the matrix C. On exit, C is overwritten by H * C * H'.
  • LDC — LDC is INTEGER. The leading dimension of the array C. LDC >= max( 1, N ).
  • WORK — WORK is COMPLEX array, dimension (N).

👑 Author

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

📌 Definition

Definition at line 107 of file clarfy.f.

💜 Author 💜

Generated automatically by Doxygen for LAPACK from the source code.

Cute sign-off from the footer: LAPACK, Version 3.12.0, and /home/abui...IG/clarfy.f(3). That's the whole footer vibe, bestie. Periodt, fr fr. 💅✨

📦 where this page comes from