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A globally convergent method for nonlinear programming. (English) Zbl 0336.90046


MSC:

90C30 Nonlinear programming
41A60 Asymptotic approximations, asymptotic expansions (steepest descent, etc.)
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[1] Robinson, S. M.,Perturbed Kuhn-Tucker Points and Rates of Convergence for a Class of Nonlinear-Programming Algorithms, Mathematical Programming, Vol. 7, pp. 1-16, 1974. · Zbl 0294.90078 · doi:10.1007/BF01585500
[2] Garcia-Palomares, U. M., andMangasarian, O. L.,Superlinearly Convergent Quasi-Newton Algorithms for Nonlinearly Constrained Optimization Problems, Mathematical Programming, Vol. 11, pp. 1-13, 1976. · Zbl 0362.90103 · doi:10.1007/BF01580366
[3] Han, S. P.,Superlinearly Convergent Variable Metric Algorithms for General Nonlinear Programming Problems, Mathematical Programming, Vol. 11, pp. 263-282, 1976. · Zbl 0364.90097 · doi:10.1007/BF01580395
[4] Kowalik, J., andOsborne, M. R.,Methods for Unconstrained Optimization Problems, American Elsevier, New York, New York, 1968. · Zbl 0304.90099
[5] Dem’yanov, V. F., andMalozemov, V. N.,Introduction to Minimax, John Wiley and Sons, New York, New York, 1974.
[6] Daniel, J. M.,Stability of the Solution of Definite Quadratic Programs, Mathematical Programming, Vol. 5, pp. 41-53, 1973. · Zbl 0269.90037 · doi:10.1007/BF01580110
[7] Mangasarian, O. L.,Nonlinear Programming, McGraw-Hill Book Company, New York, New York, 1969.
[8] Stoer, J., andWitzgall, C.,Convexity and Optimization in Finite Dimensions, I, Springer-Verlag, Berlin, Germany, 1970. · Zbl 0203.52203
[9] Han, S. P.,Dual Variable Metric Methods for Constrained Optimization Problems, SIAM Journal on Control and Optimization, Vol. 15, No. 4, 1977. · Zbl 0361.90074
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