PZDBSV(l)

💖 PZDBSV 💖

okay bestie, gather round, because this is a LAPACK routine from way back (version 1.5, no less) and she is serving linear algebra realness. it's PZDBSV(l) — the l is for library, iykyk — and she solves a system of linear equations. that's it. that's the gig. she ate and left no crumbs. ✨

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🌸 NAME 🌸

PZDBSV — solve a system of linear equations

A(1:N, JA:JA+N-1) * X = B(IB:IB+N-1, 1:NRHS)

like literally that's the whole equation bestie, A times X equals B, iconic behavior, no notes. 🫶

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✨ SYNOPSIS ✨

SUBROUTINE PZDBSV( N, BWL, BWU, NRHS, A, JA, DESCA, B, IB, DESCB, WORK,
                   LWORK, INFO )

    INTEGER        BWL, BWU, IB, INFO, JA, LWORK, N, NRHS

    INTEGER        DESCA( * ), DESCB( * )

    COMPLEX*16     A( * ), B( * ), WORK( * )

look at all those arguments, she's thriving 💅 thirteen of them, every single one accounted for, not one skipped, we respect the whole roster.

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🎀 PURPOSE 🎀

okay so PZDBSV solves a system of linear equations

where A(1:N, JA:JA+N-1) is an N-by-N complex banded diagonally dominant-like distributed matrix with bandwidth BWL, BWU. 🦋

not me casually dropping "diagonally dominant-like" like it's a personality trait. she's like diagonally dominant. she's giving the vibe. 😭

Gaussian elimination without pivoting is used to factor a reordering of the matrix into L U. 🧚

no pivoting bestie, she just goes for it, main character energy fr fr.

See PZDBTRF and PZDBTRS for details. 👑

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and that's the whole page, my love — that's the full tea, nothing left out, nothing extra invented, every argument and every fact preserved exactly as she came. 💜

LAPACK routine, version 1.5, dated 12 May 1997 — mwah, she's vintage, she's timeless, she's the moment. 🎀✨