.\" DO NOT MODIFY THIS FILE!  It was generated by help2man 1.47.13.
.TH GBNLMULT "1" "June 2021" "gbnlmult 6.2" "User Commands"
.SH NAME
gbnlmult \- Solve systems of non linear simultaneous equations
.SH SYNOPSIS
.B gbnlmult
[\fI\,options\/\fR] \fI\,<function definition>\/\fR
.SH DESCRIPTION
Least square estimation of a system of j non linear equations. Read data
in columns (X_1 .. X_N). The j\-th equation is specified by a function f_j(x1,x2...)
using variables names x1,x2,..,xN for the first, second...N\-th column of data.
The f_j(x1,x2,...)'s are assumed i.i.d. according to a multivariate gaussian
distribution.
.SH OPTIONS
.TP
\fB\-O\fR
type of output (default 0)
.TP
0
parameters
.TP
1
parameters and errors
.TP
2
<variables> and residuals
.TP
3
parameters and variance matrix
.TP
\fB\-V\fR
variance matrix estimation (default 0)
.IP
0 <gradF gradF^t>
1  < J^{\-1} >
2 < H^{\-1} >
3  < H^{\-1} J H^{\-1} >
.TP
\fB\-e\fR
minimization tolerance (default 1e\-5)
.TP
\fB\-v\fR
verbosity level (default 0)
.TP
0
just results
.TP
1
comment headers
.TP
2
summary statistics
.TP
3
covariance matrix
.TP
4
minimization steps
.TP
5
model definition
.TP
\fB\-F\fR
input fields separators (default " \et")
.TP
\fB\-h\fR
this help
.SH AUTHOR
Written by Giulio Bottazzi
.SH "REPORTING BUGS"
Report bugs to <gbutils@googlegroups.com>
.PP
.br
Package home page <http://cafim.sssup.it/~giulio/software/gbutils/index.html>
.SH COPYRIGHT
Copyright \(co 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;
.PP
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.