DLAPLL(3)

💅 DLAPLL(3) 💅

okay so bestie, welcome to the Library Functions Manual part of the group chat. We're looking at DLAPLL, and she is literally the girl who measures the linear dependence of two vectors. no cap. 🦋

🌸 NAME 🌸

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

That's the file path, and yes it's giving very long build-directory energy. 💀

✨ SYNOPSIS ✨

🫶 Functions/Subroutines 🫶

subroutine DLAPLL (n, x, incx, y, incy, ssmin)

DLAPLL measures the linear dependence of two vectors. periodt. ✨

🔥 Function/Subroutine Documentation 🔥

💜 subroutine DLAPLL 💜

subroutine DLAPLL (integer n, double precision, dimension( * ) x, integer incx, double precision, dimension( * ) y, integer incy, double precision ssmin)

DLAPLL measures the linear dependence of two vectors. slay. 💅

🎀 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, 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 DOUBLE PRECISION 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 DOUBLE PRECISION 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 DOUBLE PRECISION. 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 dlapll.f.

💫 Author 💫

Generated automatically by Doxygen for LAPACK from the source code. (the robots wrote this bit, bestie 🤖)

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