T. Altman et Pf. Boulos, A HYPOQUADRATIC CONVERGENCE METHOD FOR LAGRANGE MULTIPLIERS, Computers & mathematics with applications, 27(1), 1994, pp. 25-31
In this paper, we investigate a class of hypoquadratically convergent
methods for minimizing an objective function subject to equality const
raints via the Lagrange multipliers method. The above class of inexact
Newton methods has already been successfully applied for solving syst
ems of nonlinear algebraic equations.