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NLSnewtonraphson

PURPOSE ^

% @deftypefn{Function File}{[@var{y},@var{numit},@var{resnrm}] =} @

SYNOPSIS ^

function [y,ii,resnrm] = NLSnewtonraphson (y0,RES,JAC,tol,maxit,verbosity,update);

DESCRIPTION ^

% -*- texinfo -*-
%  @deftypefn{Function File}{[@var{y},@var{numit},@var{resnrm}] =} @
% NLSnewtonraphson @
% (@var{y0}, @var{RES}, @var{JAC}, @var{tol}, @
%  @var{maxit},@var{verbosity}, @var{update});
%
%  Solves a non-linear system of equations using the Newton-Raphson
%  method with damping.
%
%  Input:
%  @itemize @minus 
%  @item @var{y0}: initial guess
%  @item @var{RES}: function handle to compute the residual
%  @item @var{JAC} function handle to compute the jacobian
%  @item @var{tol}: tolerance for convergence check
%  @item @var{maxit}: maximum number of iterations
%  @item @var{verbosity}: verbosity level
%  @item @var{update}: update function to run at each timestep
%  @end itemize
%
%  Output:
%  @itemize @minus 
%  @item @var{y}: initial guess
%  @item @var{numit}: number of iterations performed
%  @item @var{resnrm}: residual norm at each step
%  @end itemize
%  @seealso{NLSstationary, TSTbweuler, TSTdaspk}
%  @end deftypefn

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:
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