On the Convergence of Successive Linear-Quadratic Programming Algorithms

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On the Convergence of Successive Linear-Quadratic Programming Algorithms

The global convergence properties of a class of penalty methods for nonlinear programming are analyzed. These methods include successive linear programming approaches, and more specifically, the successive linear-quadratic programming approach presented by Byrd, Gould, Nocedal and Waltz (Math. Programming 100(1):27–48, 2004). Every iteration requires the solution of two trust-region subproblems...

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On the Convergence of Successive Linear Programming Algorithms

We analyze the global convergence properties of a class of penalty methods for nonlinear programming. These methods include successive linear programming approaches, and more specifically the SLP-EQP approach presented in [1]. Every iteration requires the solution of two trust region subproblems involving linear and quadratic models, respectively. The interaction between the trust regions of th...

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ژورنال

عنوان ژورنال: SIAM Journal on Optimization

سال: 2005

ISSN: 1052-6234,1095-7189

DOI: 10.1137/s1052623403426532