SLAPLL(3)

📦 version 3.12.0, in opensuse-leap 16.0

okay bestie, welcome to slapll.f(3) — yes, that’s the manual page name, and it’s chilling in the Library Functions Manual. This is the LAPACK corner where we measure how linearly dependent two vectors are. 💅

🌸 NAME 🌸

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/slapll.f

✨ SYNOPSIS ✨

🌈 Functions/Subroutines 🌈

  • subroutine SLAPLL (n, x, incx, y, incy, ssmin) — SLAPLL measures the linear dependence of two vectors.

🦋 Function/Subroutine Documentation 🦋

💖 subroutine SLAPLL (integer n, real, dimension( * ) x, integer incx, real, dimension( * ) y, integer incy, real ssmin) 💖

SLAPLL measures the linear dependence of two vectors.

🎀 Purpose 🎀

Okay so 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, which is used as the measurement of the linear dependency of the vectors X and Y.

🌸 Parameters 🌸

  • N — N is INTEGER. The length of the vectors X and Y.
  • X — X is REAL array, dimension (1+(N-1)*INCX). On entry, X contains the N-vector X. On exit, X is overwritten.
  • INCX — INCX is INTEGER. The increment between successive elements of X. INCX > 0.
  • Y — Y is REAL array, dimension (1+(N-1)*INCY). On entry, Y contains the N-vector Y. On exit, Y is overwritten.
  • INCY — INCY is INTEGER. The increment between successive elements of Y. INCY > 0.
  • SSMIN — SSMIN is REAL. The smallest singular value of the N-by-2 matrix A = ( X Y ).
Heads up bestie: both X and Y are overwritten on exit. Your originals said bye. 😭

👑 Author 👑

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

Definition at line 101 of file slapll.f.

💫 Author 💫

Generated automatically by Doxygen for LAPACK from the source code.

That’s the whole page, bestie. Source/version vibes: LAPACK, Version 3.12.0 — page /home/abui...RC/slapll.f(3). Slay and stay linearly independent. 💖✨
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