05735028

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05735028 El-Alem, Mahmoud El-Sobky, Bothina El-Aziz, Mohammadi Abd Extending Goodman's method to general nonlinear programming. Bull. Pure Appl. Math. 3, No. 2, 135-141 (2009). 2009 Scientific Publishers, Jodhpur, Rajasthan, India EN constrained optimization Goodman's method projected Hessian nonlinear programming Zbl 0589.90065 Summary: A new algorithm for solving the general nonlinear programming problem is introduced. The algorithm uses the Coleman-Li scaling matrix together with a formulation for Newton's interior point method and can be viewed as a generalization of {\it J. Goodman}'s method [Math. Program. 33, 162--171 (1985; Zbl 0589.90065)] to general nonlinear programming.