SRC/slapll.f(3)

okay bestie, welcome to the SRC/slapll.f(3) page from the Library Functions Manual 💅✨

✨ NAME ✨

SRC/slapll.f — home of slapll, the subroutine that measures how linearly dependent two vectors are. 🫶

🌸 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. no cap. 💅

🎯 Purpose 🎯

Sooo, 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. periodt. 👑

🧸 Parameters 🧸

• N — N is INTEGER; it’s the length of the vectors X and Y. 🎀
• X — X is REAL array, with dimension (1+(N-1)*INCX). On entry, X contains the N-vector X. On exit, X is overwritten. 😭 bestie, it gets overwritten, fr fr.
• INCX — INCX is INTEGER; the increment between successive elements of X. INCX > 0. 🔥
• Y — Y is REAL array, with 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 ). 👑

👑 Author 👑

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

🧭 Definition at line 101 of file slapll.f. 🧭

Definition at line 101 of file slapll.f.

👑 Author 👑

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

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mwah 💖 — source/version: LAPACK Version 3.12.0; page: SRC/slapll.f(3).