NAME

       gbnlmult - Solve systems of non linear simultaneous equations

SYNOPSIS

       gbnlmult [options] <function definition>

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.

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

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

       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.