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Griewank, A. O.

Generalized descent for global optimization. (English) Zbl 0431.49036

J. Optimization Theory Appl. 34, 11-39 (1981).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0431.49036

Cited in 1 Review
Cited in 45 Documents

MSC:

90C99 Mathematical programming

Keywords:

global optimization; generalized descent; search trajectories; target level
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\textit{A. O. Griewank}, J. Optim. Theory Appl. 34, 11--39 (1981; Zbl 0431.49036)
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Online Encyclopedia of Integer Sequences:

Value at which the smallest positive local minimum of the 1-D Griewank function occurs.

References:

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[11] Inomata, S., andCumada, M.,On the Golf Method, Denshi Gijutso Sogo Kenkyujo, Tokyo, Japan, Bulletin of the Electrotechnical Laboratory, Vol. 25, pp. 495-512, 1964.
[12] Zidkov, N. P., andSiedrin, B. M.,A Certain Method of Search for the Minimum of a Function of Several Variables, Computing Methods and Programming, Izdat Moscow University, Vol. 10, pp. 203-210, 1968.
[13] Incerti, S., Parisi, V., andZirilli, F.,A New Method for Solving Nonlinear Simultaneous Equations, SIAM Journal of Numerical Analysis, Vol. 16, pp. 779-789, 1979. · Zbl 0411.65028
[14] Griewank, A.,Analysis and Modification of Newton’s Method at Singularities, Australian National University, PhD Thesis, 1980. · Zbl 0419.65034
[15] Powell, M. J. D.,A New Algorithm for Unconstrained Optimization, Nonlinear Programming, Edited by J. B. Rosen, O. L. Mangasarian, and K. Ritter, Academic Press, New York, New York, 1970. · Zbl 0228.90043
[16] Gear, C. W.,Numerical Initial-Value Problems in Ordinary Differential Equations, Prentice-Hall, Englewood Cliffs, New Jersey, 1971. · Zbl 1145.65316
[17] Anonymous, International Mathematical and Statistical Libraries, Library 2, Edition 6, Vol. 1, Houston, Texas, 1977.
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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.