SRC/clapll.f(3)

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version 3.12.1 · 7 versions
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🎀 NAME

okay bestie, this is the SRC/clapll.f(3) page from the Library Functions Manual — and the file in question is SRC/clapll.f. Come for the tiny subroutine, stay for the linear-dependence tea. 💅

💖 SYNOPSIS

🌈 Functions/Subroutines

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

🔥 Function/Subroutine Documentation

   subroutine clapll (integer n, complex, dimension( * ) x, integer incx,
       complex, dimension( * ) y, integer incy, real ssmin)

CLAPLL measures the linear dependence of two vectors. That's the whole vibe. 😌

🎯 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 value is used as the measurement of the linear dependency of the vectors X and Y. periodt. ✨

🧾 Parameters

  • N — N is INTEGER. It's the length of the vectors X and Y. 🫶
  • X — X is COMPLEX array, dimension (1+(N-1)*INCX). On entry, X contains the N-vector X. On exit, X is overwritten. 😭
  • INCX — INCX is INTEGER. It's the increment between successive elements of X. INCX > 0. 🔥
  • Y — Y is COMPLEX array, dimension (1+(N-1)*INCY). On entry, Y contains the N-vector Y. On exit, Y is overwritten. 🙈
  • INCY — INCY is INTEGER. It's the increment between successive elements of Y. INCY > 0. 🔥
  • SSMIN — SSMIN is REAL. It's the smallest singular value of the N-by-2 matrix A = ( X Y ). 👑

👑 Author

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

Definition at line 99 of file clapll.f. 🧚

👑 Author

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

okay bestie, that's the whole page — this icon is from LAPACK, Version 3.12.0, and it's the SRC/clapll.f(3) page. Go make those vectors behave. 💖🎀

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