id: 04039648 dt: j an: 04039648 au: Vespucci, Maria Teresia ti: An efficient code for the minimization of highly nonlinear and large residual least squares functions. so: Optimization 18, 825-855 (1987). py: 1987 pu: Taylor \& Francis, Abingdon, Oxon la: EN cc: ut: unconstrained least squares problem; Quasi-Newton approximation; second order term; Hessian ci: li: doi:10.1080/02331938708843298 ab: A new code for solving the unconstrained least squares problem is given, in which a Quasi-Newton approximation to the second order term of the Hessian is added to the first order term of the Gauss-Newton method and a line search based upon a quartic model is used. The new algorithm is shown numerically to be more efficient on large residual problems than the Gauss-Newton method and a general purpose minimization algorithm based upon BFGS formula. The listing and the user’s guide of the code is also given. rv: