lis_array_cgs(3f)

📦 version 2.1.11, in fedora 43, fedora 44, nixos 26.05, nixpkgs unstable

💖 lis_array_cgs(3f) — the Lis Library Functions era 💖

okay bestie, so this is a page from the Lis Library Functions manual, and it's about one little function that's honestly giving math girlboss energy. her name is lis_array_cgs, and she's here to do QR factorization with the classical Gram-Schmidt process. no cap. 🎀

✨ NAME ✨

lis_array_cgs — calculate the QR factorization with the classical Gram-Schmidt process 💅

🌸 SYNOPSIS 🌸

subroutine lis_array_cgs(LIS_INTEGER n, LIS_SCALAR a(), LIS_SCALAR q(),
LIS_SCALAR r(), LIS_INTEGER ierr);

like. look at her. four outputs and a size. iconic behavior honestly 🦋

💜 DESCRIPTION 💜

so what she does is: she calculates the QR factorization

QR=A

using the classical Gram-Schmidt process. that's it, that's the whole vibe. she takes your A and hands you back a Q and an R and she does it the classic way, not the fancy modified way, just so we're clear 🔥

🍓 INPUT 🍓

  • n — the size of the matrices, bestie. that's the number.
  • a — the array that stores matrix A of size n * n 💖

✨ OUTPUT ✨

  • q — the array that stores the orthogonal matrix Q of size n * n. she's orthogonal, she's serving 🫶
  • r — the array that stores the upper-triangular matrix R of size n * n. upper triangular. very demure, very mindful, all those zeros below the diagonal ✨
also there's ierr in the synopsis, which is where she drops the error status, so keep an eye on her 👀

🦋 SEE ALSO 🦋

💀 the sign-off 💀

this page is from the Lis Library Functions manual, dated 3 Dec 2014, and she lives under the name lis_array_cgs(3f). periodt. go factor something 💅✨

📦 where this page comes from