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Minpack includes software for solving nonlinear equations and
nonlinear least squares problems.  Five algorithmic paths each include
a core subroutine and an easy-to-use driver.  The algorithms proceed
either from an analytic specification of the Jacobian matrix or
directly from the problem functions.  The paths include facilities for
systems of equations with a banded Jacobian matrix, for least squares
problems with a large amount of data, and for checking the consistency
of the Jacobian matrix with the functions.