SRC/zlapll.f(3)

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💅 SRC/zlapll.f(3) — Library Functions Manual, but make it cute 🎀

okay bestie, we're in the Library Functions Manual, and this page is for SRC/zlapll.f(3). It's a LAPACK subroutine page, and it is lowkey iconic. ✨

🎀 NAME 🎀

SRC/zlapll.f — that's the name, periodt. 💅

✨ SYNOPSIS ✨

🌸 Functions/Subroutines 🌸

subroutine zlapll (n, x, incx, y, incy, ssmin)
  • zlapll — ZLAPLL measures the linear dependence of two vectors. Yes, the docs spell it ZLAPLL there, and we keep that exact tea. 🍵

🦋 Function/Subroutine Documentation 🦋

subroutine zlapll (integer n, complex*16, dimension( * ) x, integer incx,
    complex*16, dimension( * ) y, integer incy, double precision ssmin)

ZLAPLL measures the linear dependence of two vectors. No cap. 🔥

🎯 Purpose 🎯

Given two column vectors X and Y, let

A = ( X Y ).

The subroutine first computes the QR factorization of A = Q*R, and then computes the SVD of the 2-by-2 upper triangular matrix R. The smaller singular value of R is returned in SSMIN, and that's the measurement of the linear dependency of the vectors X and Y. Slay. 💖

🍓 Parameters 🍓

  • N — N is INTEGER. It's the length of the vectors X and Y.
  • X — X is COMPLEX*16 array, dimension (1+(N-1)*INCX). On entry, X contains the N-vector X. On exit, X is overwritten. Bye original data, bestie. 👋
  • INCX — INCX is INTEGER. The increment between successive elements of X. INCX > 0. Positive only, fr fr.
  • Y — Y is COMPLEX*16 array, dimension (1+(N-1)*INCY). On entry, Y contains the N-vector Y. On exit, Y is overwritten. Also gone, no cap. 🙈
  • INCY — INCY is INTEGER. The increment between successive elements of Y. INCY > 0. Again: positive vibes only.
  • SSMIN — SSMIN is DOUBLE PRECISION. The smallest singular value of the N-by-2 matrix A = ( X Y ). That's the whole measurement moment. 👑

👑 Author 👑

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

Definition at line 99 of file zlapll.f.

🫶 Author (auto-generated sequel) 🫶

Generated automatically by Doxygen for LAPACK from the source code.

signed off from LAPACK Version 3.12.0, source page SRC/zlapll.f(3) — that's the footer tea; the page doesn't list a date, so no fake date here, bestie 💖

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