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A smoothing-out technique for min-max optimization. (English) Zbl 0468.90064

90C30 Nonlinear programming
65K05 Numerical mathematical programming methods
Full Text: DOI
[1] D.P. Bertsekas, ”Nondifferentiable optimization via approximation”,Mathematical Programming Study 3 (1975) 1–25. · Zbl 0383.49025
[2] C. Charalambous and J.W. Bandler, ”Non-linear minimax optimization as a sequence of leastpth optimization with finite values ofp”,International Journal of Systems Science 7 (1976) 377–391. · Zbl 0349.90108
[3] A.R. Conn, ”Constrained optimization using a nondifferentiable penalty function”,SIAM Journal on Numerical Analysis 10 (1973) 760–784. · Zbl 0259.90039
[4] A.M. Geoffrion, ”Objective function approximations in mathematical programming”,Mathematical Programming 13 (1977) 23–37. · Zbl 0356.90062
[5] S.E. Hersom, ”Smoothing for piece-wise linear functions”, Technical Report No. 71, Numerical Optimisation Centre, The Hatfield Polytechnic (Hatfield, 1975).
[6] K. Madsen, ”An algorithm for minimax solution of overdetermined systems of non-linear equations”,Journal of the Institute of Mathematics and its Applications 16 (1975) 321–328. · Zbl 0355.65038
[7] K. Madsen and H. Schaer-Jacobsen, ”Linearly constrained minimax optimization”,Mathematical Programming 14 (1978) 208–223. · Zbl 0375.65034
[8] M.J.D. Powell, ”An efficient method for finding the minimum of a function of several variables without calculating derivatives”,The Computer Journal 7 (1964) 155–162. · Zbl 0132.11702
[9] G.W. Stewart, ”A modification of Davidon’s minimization method to accept difference approximations of derivatives”,Journal of the Association for Computing Machinery 14 (1967) 72–83. · Zbl 0239.65056
[10] A. Tishler and I. Zang, ”A new maximum likelihood method for piecewise regression”, Working Paper No. 526/77/R, Faculty of Management, Tel Aviv University (Tel Aviv, August 1977 (Revised July 1979)). · Zbl 0474.65099
[11] A. Tishler and I. Zang, ”An absolute deviations curve fitting algorithm for non-linear models”, Working Paper No. 577/78, Faculty of Management, Tel Aviv University (Tel Aviv, October 1978 (Revised August 1979)). · Zbl 0532.65006
[12] I. Zang, ”A new arc algorithm for unconstrained optimization”,Mathematical Programming 15 (1978) 36–52. · Zbl 0392.90076
[13] W.I. Zangwill, ”Non-linear programming via penalty functions”,Management Science 13 (1967) 344–358. · Zbl 0171.18202
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