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Martensson, K.

A new approach to constrained function optimization. (English) Zbl 0253.49024

J. Optimization Theory Appl. 12, 531-554 (1973).
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Cited in 11 Documents

MSC:

49M30 Other numerical methods in calculus of variations (MSC2010)
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\textit{K. Martensson}, J. Optim. Theory Appl. 12, 531--554 (1973; Zbl 0253.49024)
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References:

[1] Fiacco, A. V., andMcCormick, G. P.,Nonlinear Programming: Sequential Unconstrained Minimization Techniques, John Wiley and Sons, New York, New York, 1968. · Zbl 0193.18805
[2] Powell, M. J. D.,A Method for Nonlinear Constraints in Minimization Problems, Optimization, Edited by R. Fletcher, Academic Press, London, England, 1969. · Zbl 0194.47701
[3] Hestenes, M. R.,Multiplier and Gradient Methods, Journal of Optimization Theory and Applications, Vol. 4, No. 5, 1969.
[4] Mårtensson, K.,Methods for Constrained Function Minimization, Lund Institute of Technology, Division of Automatic Control, Research Report No. 7101, 1971.
[5] Fletcher, R.,Methods for Nonlinear Programming, Integer and Nonlinear Programming, Edited by J. Abadie, North-Holland Publishing Company, Amsterdam, Holland, 1970. · Zbl 0332.90039
[6] Mangasarian, O. L.,Nonlinear Programming, McGraw-Hill Book Company, New York, New York, 1968.
[7] Gantmacher, F. R.,The Theory of Matrices, Vol. 1, Chelsea Publishing Company, New York, New York, 1960. · Zbl 0088.25103
[8] Powell, M. J. D.,An Efficient Method for Finding the Minimum of a Function of Several Variables without Calculating Derivatives, Computer Journal, Vol. 7, No. 4, 1964. · Zbl 0132.11702
[9] Stewart, G. W., III,A Modification of Davidon’s Minimization Method to Accept Difference Approximations of Derivatives, Journal of the Association for Computing Machinery, Vol. 14, No. 1, 1967. · Zbl 0239.65056
[10] Davidon, W. C.,Variable Metric Method for Minimization, Argonne National Laboratory, Report No. ANL-5990, 1959. · Zbl 0752.90062
[11] Fletcher, R., andPowell, M. J. D.,A Rapidly Convergent Descent Method for Minimization, Computer Journal, Vol. 6, No. 2, 1963. · Zbl 0132.11603
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.