GBNLMULT(1)

📦
version 6.3 · 2 versions
  • 6.3 · debian bookworm, debian trixie, ubuntu noble, ubuntu questing, ubuntu resolute, ubuntu stonking (latest)
  • 6.0 · ubuntu jammy
, in debian bookworm, debian trixie, ubuntu noble, ubuntu questing, ubuntu resolute, ubuntu stonking

💖 GBNLMULT(1) — the manual, but make it make sense 💖

okay bestie, gather round — this is gbnlmult, a lil user command that solves systems of non linear simultaneous equations. no cap. it's giving math girlboss and we're gonna walk through it together 🫶

✨ NAME ✨

gbnlmult — solve systems of non linear simultaneous equations 💅

🌸 SYNOPSIS 🌸

gbnlmult [options] <function definition>

🦋 DESCRIPTION 🦋

so basically it does least square estimation of a system of j non linear equations. it reads data in columns, (X_1 .. X_N) ✨

the j-th equation is specified by a function f_j(x1,x2...) and it uses the variable names x1,x2,..,xN for the first, second… N-th column of data. literally just columns → variables, one to one, periodt 💫

and the f_j(x1,x2,...)'s are assumed i.i.d. according to a multivariate gaussian distribution. iconic behaviour honestly 👑

💅 OPTIONS 💅

  • -O — type of output (default 0)
    • 0 — parameters
    • 1 — parameters and errors
    • 2 — <variables> and residuals
    • 3 — parameters and variance matrix
  • -V — variance matrix estimation (default 0)
    • 0 — <gradF gradF^t>
    • 1 — < J^{-1} >
    • 2 — < H^{-1} >
    • 3 — < H^{-1} J H^{-1} >
  • -e — minimization tolerance (default 1e-5)
  • -v — verbosity level (default 0)
    • 0 — just results
    • 1 — comment headers
    • 2 — summary statistics
    • 3 — covariance matrix
    • 4 — minimization steps
    • 5 — model definition
  • -F — input fields separators (default " \t")
  • -h — this help
ngl bestie, -v 5 is the main character setting. it shows you the whole model definition. we love a transparent king 🎀

🌈 AUTHOR 🌈

Written by Giulio Bottazzi 💜

🍓 REPORTING BUGS 🍓

Report bugs to <gbutils@googlegroups.com> 🐛

Package home page: <http://cafim.sssup.it/~giulio/software/gbutils/index.html> 🌐

Copyright © 2001-2018 Giulio Bottazzi This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License (version 2) as published by the Free Software Foundation;

This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. 😭 (yes the caps are doing the heavy lifting, it's a legal thing, respect it fr fr)

and that's the whole page bestie, you ate that ✨💖 this was gbnlmult version 6.2, dated June 2021 — go forth and estimate those systems, you absolute legend 🌸🦋👑

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