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An Interior-Point Algorithm for Nonconvex Nonlinear Programming

Robert J. VanderbeiContact Information and David F. ShannoContact Information

(1) Princeton University, USA

Abstract  The paper describes an interior-point algorithm for nonconvex nonlinear programming which is a direct extension of interior-point methods for linear and quadratic programming. Major modifications include a merit function and an altered search direction to ensure that a descent direction for the merit function is obtained. Preliminary numerical testing indicates that the method is robust. Further, numerical comparisons with MINOS and LANCELOT show that the method is efficient, and has the promise of greatly reducing solution times on at least some classes of models.

nonlinear programming - interior-point methods - nonconvex optimization


Contact InformationRobert J. Vanderbei
Email: rvdb@princeton.edu

Contact InformationDavid F. Shanno
Email: shanno@tucker.rutgers.edu
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