HPL_pdgesvK1(3)

✨ HPL_pdgesvK1 ✨

okay bestie, welcome to the HPL Library Functions corner of the universe 💖 this one's called HPL_pdgesvK1, and she's giving very specific, very important energy.

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🎀 NAME 🎀

HPL_pdgesvK1 — factor an N x N+1 matrix. that's it, that's the whole vibe. ✨

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🦋 SYNOPSIS 🦋

#include "hpl.h"

void HPL_pdgesvK1( HPL_T_grid * GRID, HPL_T_palg * ALGO, HPL_T_pmat * A );

no cap, three args, that's the whole squad 🫶

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🌸 DESCRIPTION 🌸

so HPL_pdgesvK1 factors a N+1-by-N matrix using LU factorization with row partial pivoting. iconic behavior, honestly. 👑

the main algorithm is the "right looking" variant with look-ahead. yes bestie, look-ahead, she's literally planning ahead, main character energy fr fr. ✨

the lower triangular factor is left unpivoted and the pivots are not returned. like, they just don't come back. gone. not in the return values, not in your DMs. 🙈

and the right hand side? that's the N+1 column of the coefficient matrix. that's her. that's the whole thing. 💅

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💜 ARGUMENTS 💜

• GRID (local input) — HPL_T_grid * on entry, GRID points to the data structure holding all the process grid info. like the group chat roster but for your processes. 🌈
• ALGO (global input) — HPL_T_palg * on entry, ALGO points to the data structure holding the algorithmic parameters. all the settings, all the choices, the whole personality. ✨
• A (local input/output) — HPL_T_pmat * on entry, A points to the data structure containing the local array information. she goes in, she comes out changed. glow-up moment fr. 🦋

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⭐ SEE ALSO ⭐

the whole friend group, go say hi:

• HPL_pdgesv (3)
• HPL_pdgesvK2 (3)
• HPL_pdfact (3)
• HPL_binit (3)
• HPL_bcast (3)
• HPL_bwait (3)
• HPL_pdupdateNN (3)
• HPL_pdupdateNT (3)
• HPL_pdupdateTN (3)
• HPL_pdupdateTT (3)

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and that's the page, bestie 🫶 written up against HPL 2.2, dated February 24, 2016 — oldie but a goodie, and she still ate 💅✨