ZRZT01(3)

📦 version 3.12.0, in opensuse-leap 16.0

Okay bestie, this is the zrzt01(3) man page from the Library Functions Manual — yes, the header path is that little shortened /home/abui...IN/zrzt01.f(3) vibe. Buckle up, we're looking at a LAPACK function 🧚✨

🌸 NAME 🌸

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/zrzt01.f

✨ SYNOPSIS ✨

🎀 Functions/Subroutines 🎀

  • double precision function ZRZT01 (m, n, a, af, lda, tau, work, lwork) — ZRZT01

💖 Function/Subroutine Documentation 💖

Signature, take two — same icon, same energy:

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)

ZRZT01

🦋 Purpose 🦋

So what does she return? Literally this:

|| A - R*Q || / ( M * eps * ||A|| )

for an upper trapezoidal A that was factored with ZTZRZF. That's the whole point, no cap. 💅

🌸 Parameters 🌸

  • 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 👑

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

Definition at line 96 of file zrzt01.f.

🫶 Author 🫶

Generated automatically by Doxygen for LAPACK from the source code.

Okay that's the whole page — signing off from LAPACK, Version 3.12.0, with the footer path /home/abui...IN/zrzt01.f(3). The footer didn't give a date, so no made-up date from me, bestie — just the version and the path, periodt. 💅💖

📦 where this page comes from