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An algorithm for solving large nonlinear optimization problems with simple bounds is described. It is based on the gradient projection method and uses a limited memory BFGS matrix to approximate the Hessian of the objective function. It is shown how to take advantage of the form of the limited memory approximation to implement the algorithm efficiently. The results of numerical tests on a set of large problems are reported.
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Byrd et al. (Fri,) studied this question.
www.synapsesocial.com/papers/69d6b515733a2b54c8aa818a — DOI: https://doi.org/10.1137/0916069
Richard H. Byrd
Peihuang Lu
Jorge Nocedal
SIAM Journal on Scientific Computing
Management Sciences (United States)
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