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An outer approximations algorithm for computer-aided design problems.(English)Zbl 0387.90094

J. Optimization Theory Appl.28, 331-352 (1979).

Page:−5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5Show Scanned Page
scan of Zbl 0387.90094

Cited in17 Documents

MSC:

90C30	Nonlinear programming
90C90	Applications of mathematical programming

Cite Review PDF

Full Text:DOI

References:

[1]	Bandler, J. W., Liu, P. C., andChen, J. H.,Worst-Case Network Tolerance Optimization, IEEE Transactions on Microwave Theory and Technology, Vol. MTT-23, pp. 630-641, 1975. ·doi:10.1109/TMTT.1975.1128641
[2]	Bandler, J. W.,Optimization of Design Tolerances using Nonlinear Programming, Journal of Optimization Theory and Applications, Vol. 14, pp. 99-114, 1974. ·Zbl 0263.65077 ·doi:10.1007/BF00933176
[3]	Bandler, J. W., Liu, P. C., andTromp, H.,A Nonlinear Programming Approach to Optimal Design Centering, Tolerancing, and Tuning, IEEE Transactions on Circuits and Systems, Vol. CAS-23, pp. 155-165, 1976. ·Zbl 0366.90123 ·doi:10.1109/TCS.1976.1084191
[4]	Zakian, V., andAl-Naib, U.,Design of Dynamical and Control Systems by the Method of Inequalities, Proceedings of the IEEE, Vol. 120, pp. 1421-1427, 1973.
[5]	Polak, E., andTrahan, R.,An Algorithm for Computer-Aided Design Problems, Proceedings of the 1976 IEEE Conference on Decision and Control, Clearwater, Florida, 1976.
[6]	Polak, E., andMayne, D. Q.,An Algorithm for Optimization Problems with Functional Inequality Constraints, IEEE Transactions on Automatic Control, Vol. AC-21, pp. 184-193, 1976. ·Zbl 0355.49007 ·doi:10.1109/TAC.1976.1101196
[7]	Polak, E., Pister, K. S., andRay, D.,Optimal Design of Framed Structures Subjected to Earthquakes, Engineering Optimization, Vol. 2, pp. 65-71, 1976. ·doi:10.1080/03052157608960598
[8]	Ray, D., Pister, K. S., andChopra, A. K.,Optimum Design of Earthquake Resistant Shear Buildings, University of California, Berkeley, California, Earthquake Engineering Research Center, Report No. EERC-74-3, 1974.
[9]	Demyanov, V. F.,On the Solution of Certain Min-Max Problems, I, Kibernetika, Vol. 2, pp. 47-53, 1966.
[10]	Levitin, E. S., andPolyak, B. T.,Constrained Minimization Methods, Zhurnal Vychislitelnoi Matematiki i Matematicheskoi Fiziki, Vol. 5, pp. 787-823, 1966. ·Zbl 0184.38902
[11]	Eaves, B. C., andZangwill, W. I.,Generalized Cutting Plane Algorithms, SIAM Journal of Control, Vol. 9, pp. 529-542, 1971. ·doi:10.1137/0309037
[12]	Blankenship, J. W., andFalk, J. E.,Infinitely Constrained Optimization Problems, The George Washington University, Institute for Management Science and Engineering, Serial No. T-301, 1974. ·Zbl 0307.90071
[13]	Polak, E.,Computational Methods in Optimization: A Unified Approach, Academic Press, New York, New York, 1971. ·Zbl 0257.90055
[14]	John, F.,Extremum Problems with Inequalities as Side Conditions, Studies and Essays: Courant Anniversary Volume, Edited by K. O. Friedrichs, O. W. Neugebauer, and J. J. Stoker, John Wiley and Sons (Interscience Publishers), New York, New York, 1948.
[15]	Pironneau, O., andPolak, E.,Rate of Convergence of a Class of Methods of Feasible Directions, SIAM Journal on Numerical Analysis, Vol. 10, pp. 161-174, 1973. ·Zbl 0283.65032 ·doi:10.1137/0710017
[16]	Canon, M. D., Cullum, C. D., andPolak, E.,Theory of Optimal Control and Mathematical Programming, McGraw-Hill Book Company, New York, New York, 1970. ·Zbl 0264.49001
[17]	Klessig, R.,A General Theory of Convergence for Constrained Optimization Algorithms that Use Anti-Zigzagging Provisions, SIAM Journal on Control, Vol. 12, pp. 598-608, 1974. ·Zbl 0289.90036 ·doi:10.1137/0312044
[18]	Chen, C. T.,Analysis and Synthesis of Linear Control Systems, Holt, Rinehart, and Winston, New York, New York, 1975. ·Zbl 0308.93011

This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.