ZQPT01(3)

📦 version 3.12.0, in opensuse-leap 16.0

🎀 NAME 🎀

ZQPT01(3) — from the Library Functions Manual, header path /home/abui...IN/zqpt01.f(3). The NAME entry is literally this source file path:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/zqpt01.f

okay bestie, we’re in LAPACK testing territory now 💅

🦋 SYNOPSIS 🦋

✨ Functions/Subroutines ✨

double precision function ZQPT01 (m, n, k, a, af, lda, tau, jpvt, work,
    lwork)

ZQPT01

💖 Function/Subroutine Documentation 💖

double precision function ZQPT01 (integer m, integer n, integer k,
    complex*16, dimension( lda, * ) a, complex*16, dimension( lda, * ) af,
    integer lda, complex*16, dimension( * ) tau, integer, dimension( * )
    jpvt, complex*16, dimension( lwork ) work, integer lwork)

ZQPT01

🌸 Purpose 🌸

okay so ZQPT01 is out here testing the QR-factorization with pivoting of a matrix A. The array AF contains the (possibly partial) QR-factorization of A, where the upper triangle of AF(1:k,1:k) is a partial triangular factor, the entries below the diagonal in the first k columns are the Householder vectors, and the rest of AF contains a partially updated matrix. no cap, that’s the whole setup 🫶

This function returns:

||A*P - Q*R|| / ( ||norm(A)||*eps*max(M,N) )

that formula is the main character here, fr fr 🌟

🫶 Parameters 🫶

  • M — INTEGER. The number of rows of the matrices A and AF. 💖
  • N — INTEGER. The number of columns of the matrices A and AF. ✨
  • K — INTEGER. The number of columns of AF that have been reduced to upper triangular form. 🎀
  • A — COMPLEX*16 array, dimension (LDA, N). The original matrix A. 🦋
  • AF — COMPLEX*16 array, dimension (LDA,N). The (possibly partial) output of ZGEQPF. The upper triangle of AF(1:k,1:k) is a partial triangular factor, the entries below the diagonal in the first k columns are the Householder vectors, and the rest of AF contains a partially updated matrix. 💅
  • LDA — INTEGER. The leading dimension of the arrays A and AF. 🌸
  • TAU — COMPLEX*16 array, dimension (K). Details of the Householder transformations as returned by ZGEQPF. 🔥
  • JPVT — INTEGER array, dimension (N). Pivot information as returned by ZGEQPF. 👑
  • WORK — COMPLEX*16 array, dimension (LWORK). 🌈
  • LWORK — INTEGER. The length of the array WORK. LWORK >= M*N+N. ⭐

💜 Author 💜

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

Definition at line 118 of file zqpt01.f. 📌

🌈 Author 🌈

Generated automatically by Doxygen for LAPACK from the source code. 🤖✨

okay that’s the whole page, bestie — LAPACK Version 3.12.0, footer path /home/abui...IN/zqpt01.f(3), mwah 💋💖

📦 where this page comes from