eqsolve: Solving non linear equations

Description

Non linear Solving methods

eqsolve(xinit, f, jac,
    method=c("Newton", "Levenberg-Marquardt", "Broyden"),
	global=c("line search", "none"), control=list())

A list with components:

par: The best set of parameters found.
counts: A two-element integer vector giving the number of calls to phi and jacphi respectively.
iter: The iteration number.
code: 0 if convergence, 1 if maxit is reached, 10 if tol is not reached and 11 for both.

xinit: initial point.
f: the function for which we search roots.
jac: the Jacobian of the function f.
method: a character string specifying the method to use: either "Newton", "Levenberg-Marquardt", or "Broyden".
global: a character string for the globalization method to be used: either "line search" or "none".
control: a list for the control parameters. See details.

Christophe Dutang

The control argument is a list that can supply any of the following components:

tol: The absolute convergence tolerance. Default to 1e-6.
maxit: The maximum number of iterations. Default to 100.
echo: A logical or an integer (0, 1, 2, 3, 4) to print traces. Default to FALSE, i.e. 0.
echofile: A character string to store the traces in that file. Default to NULL.
echograph: A character string to plot iter-by-iter information. Either "NULL" (default), or "line" for line search plot or "trust" for trust region plots.
sigma: Reduction factor for the geometric linesearch. Default to 0.5.
btol: The backtracking tolerance. Default to 0.01.
delta: The exponent parameter for the LM parameter, should in \([1,2]\). Default to 2.
initlnsrch: The initial integer for starting the line search. Default to 0.
minstep: The minimal step. Default to 0.001.