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Characterization of local solutions for a class of nonconvex programs. (English) Zbl 0281.90078


MSC:

90C35 Programming involving graphs or networks
90C30 Nonlinear programming
Full Text: DOI

References:

[1] Soland, R. M.,An Algorithm for Separable Nonconvex Programming Problems, II, Nonconvex Constraints, Management Science, Vol. 17, pp. 759-773, 1971. · Zbl 0226.90038 · doi:10.1287/mnsc.17.11.759
[2] Rosen, J. B.,Iterative Solution of Nonlinear Optimal Control Problems, SIAM Journal on Control, Vol. 4, pp. 223-244, 1966. · Zbl 0229.49025 · doi:10.1137/0304021
[3] Meyer, R.,The Validity of a Family of Optimization Methods, SIAM Journal on Control, Vol. 8, pp. 41-54, 1970. · Zbl 0194.20501 · doi:10.1137/0308003
[4] Benders, J. F.,Partitioning Procedures for Solving Mixed-Variables Programming Problems, Numerische Mathematik, Vol. 4, pp. 238-252, 1962. · Zbl 0109.38302 · doi:10.1007/BF01386316
[5] Geoffrion, A. M.,Generalized Benders Decomposition, Journal of Optimization Theory and Applications, Vol. 4, pp. 237-260, 1972. · Zbl 0229.90024 · doi:10.1007/BF00934810
[6] Tucker, A. W.,Dual Systems of Homogeneous Linear Relations, Linear Inequalities and Related Systems, Edited by H. W. Kuhn and A. W. Tucker, Princeton University Press, Princeton, New Jersey, 1956. · Zbl 0072.37503
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