TESTING/LIN/zrzt01.f(3)

📦
version 3.12.1 · 2 versions
, in arch rolling

💖 TESTING/LIN/zrzt01.f 💖

Okay bestie, welcome to the TESTING/LIN/zrzt01.f page from the Library Functions Manual — manual name folded in right at the top like a lil name tag. This is the whole zrzt01 routine, and we are keeping every single detail, no cap. 💅

✨ NAME ✨

TESTING/LIN/zrzt01.f — the manual page for the zrzt01 routine, and yes, that path is the whole name section. Short, iconic, periodt. 🎀

🌸 SYNOPSIS 🌸

Functions/Subroutines

  • double precision function zrzt01 (m, n, a, af, lda, tau, work, lwork) — the ZRZT01 function, serving double precision realness. ✨

🦋 Function/Subroutine Documentation 🦋

Here’s the full signature, character for character, because we do not play about exact types:

double precision function zrzt01 (integer m, integer n, complex*16,
       dimension( lda, * ) a, complex*16, dimension( lda, * ) af, integer lda,
       complex*16, dimension( * ) tau, complex*16, dimension( lwork ) work,
       integer lwork)

And the routine’s name is ZRZT01. Main character energy, obviously. 👑

🎯 Purpose 🎯

The purpose block is literally this exact formula vibe:

!> ZRZT01 returns
!>      || A - R*Q || / ( M * eps * ||A|| )
!> for an upper trapezoidal A that was factored with ZTZRZF.

So yeah, it returns that ratio for an upper trapezoidal A that was factored with ZTZRZF. Math girlies rise. 🔥

💜 Parameters 💜

Okay bestie, here come all the parameters — every single one, no skipping:

  • M — M is INTEGER: the number of rows of the matrices A and AF.
  • N — N is INTEGER: the number of columns of the matrices A and AF.
  • A — A is COMPLEX*16 array, dimension (LDA,N): the original upper trapezoidal M by N matrix A.
  • AF — AF is COMPLEX*16 array, dimension (LDA,N): the output of ZTZRZF for input matrix A. The lower triangle is not referenced.
  • LDA — LDA is INTEGER: the leading dimension of the arrays A and AF.
  • TAU — TAU is COMPLEX*16 array, dimension (M): details of the Householder transformations as returned by ZTZRZF.
  • WORK — WORK is COMPLEX*16 array, dimension (LWORK).
  • LWORK — LWORK is INTEGER: the length of the array WORK. LWORK >= m*n + m.

👑 Author 👑

Shoutout to the author squad:

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

📍 Definition Spot 📍

Definition at line 96 of file zrzt01.f. Noted, bestie. 🫶

🌈 Author 🌈

Generated automatically by Doxygen for LAPACK from the source code. Auto-generated but still ate. 💖

That’s the whole page, bestie — from LAPACK Version 3.12.0, page TESTING/LIN/zrzt01.f(3), with all the details intact and the vibe fully immaculate. Bye, love you! 🫶✨🎀

📦 where this page comes from