New approach to comparison of search methods used in nonlinear programming problems. (English) Zbl 0261.90058
References:
| [1] | Polyak, B. T.,Minimization Methods for Functions of Several Variables (in Russian), Economics and Mathematical Methods, Vol. 3, No. 6, 1967. · Zbl 0177.15102 |
| [2] | Wilde, D. J.,Optimum Seeking Methods, Prentice-Hall, Englewood Cliffs, New Jersey, 1964. · Zbl 0136.14601 |
| [3] | Box, M. J.,A Comparison of Several Current Optimization Methods, and the Use of Transformations in Constrained Problems, Computer Journal, Vol. 9, No. 1, 1966. · Zbl 0146.13304 |
| [4] | Fletcher, R.,Function Minimization without Evaluating Derivatives, a Review, Computer Journal, Vol. 8, No. 1, 1965. · Zbl 0139.10401 |
| [5] | Fletcher, R., andReeves, C. M.,Function Minimization by Conjugate Gradients. Computer Journal, Vol. 7, No. 12, 1964. · Zbl 0132.11701 |
| [6] | Fiacco, A. V., andMcCormick, G. R.,Nonlinear Programming: Sequential Unconstrained Minimization Techniques, John Wiley and Sons, New York, New York, 1968. · Zbl 0193.18805 |
| [7] | Fletcher, R., andPowell, M. J. D.,A Rapidly Convergent Descent Method for Minimization, Computer Journal, Vol. 6, No. 2, 1963. · Zbl 0132.11603 |
| [8] | Huang, H. Y.,Unified Approach to Quadratically Convergent Algorithms for Function Minimization, Journal of Optimization Theory and Applications, Vol. 5, No. 6, 1970. · Zbl 0184.20202 |
| [9] | Myers, G. E.,Properties of the Conjugate-Gradient and Davidon Methods, Journal of Optimization Theory and Applications, Vol. 2, No. 4, 1968. · Zbl 0207.17302 |
| [10] | Adachi, N.,On Variable-Metric Algorithms, Journal of Optimization Theory and Applications, Vol. 7, No. 6, 1971. · Zbl 0203.48703 |
| [11] | Powell, M. J. D.,An Iterative Method for Finding Stationary Values of a Function of Several Variables, Computer Journal, Vol. 5, No. 2, 1962. · Zbl 0104.34303 |
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