DOI: 10.1007/bf00939434. On the convergence of global methods in multiextremal optimization

On the convergence of global methods in multiextremal optimization

10.1007/bf00939434

Crossref journal-article

Springer Science and Business Media LLC

Journal of Optimization Theory and Applications (297)

Bibliography

Horst, R., & Tuy, H. (1987). On the convergence of global methods in multiextremal optimization. Journal of Optimization Theory and Applications, 54(2), 253â271.

Authors 2

R. Horst (first)
H. Tuy (additional)

References 13 Referenced 67

Horst, R.,A General Class of Branch-and-Bound Methods in Global Optimization with Some New Approaches for Concave Minimization, Journal of Optimization Theory and Applications, Vol. 51, pp. 271?291, 1986. (10.1007/BF00939825) / Journal of Optimization Theory and Applications by R. Horst (1986)
Horst, R., andTuy, H.,Remarks on Convergence and Finiteness of Branch-and-Bound Algorithms in Global Optimization, Discussion Paper, Universit�t Oldenburg, 1985.
Pinter, J.,A Unified Approach to Globally Convergent One-Dimensional Optimization Algorithms, Technical Report No. IAMI-83.5, Istituto per le Applicazioni della Matematica e dell'Informatica, CNR, Milan, Italy, 1983. / A Unified Approach to Globally Convergent One-Dimensional Optimization Algorithms / Technical Report by J. Pinter (1983)
Pinter, J.,Globally Convergent Methods for N-Dimensional Multiextremal Optimization, Optimization, Vol. 17, pp. 1?16, 1986. (10.1080/02331938608843118) / Optimization by J. Pinter (1986)
Zheng, Q., Jiang, B., andZhuang, S.,A Method for Finding the Global Extremum, Acta Mathematicae Applagatea Sinica, Vol. 2, pp. 164?174, 1978 (in Chinese). / Acta Mathematicae Applagatea Sinica by Q. Zheng (1978)
Galperin, E. A., andZheng, Q.,Nonlinear Observation via Global Optimization Methods, Proceedings of the 1983 Conference on Information Sciences and Systems, Baltimore, Maryland, pp. 620?628, 1983.
Galperin, E. A.,The Cubic Algorithm, Journal of Mathematical Analysis and Applications, Vol. 112, pp. 635?640, 1985. (10.1016/0022-247X(85)90268-9) / Journal of Mathematical Analysis and Applications by E. A. Galperin (1985)
Pijavskii, S. A.,An Algorithm for Finding the Absolute Extremum of a Function, USSR Computational Mathematics and Mathematical Physics, Vol. 12, pp. 57?67, 1972. (10.1016/0041-5553(72)90115-2) / USSR Computational Mathematics and Mathematical Physics by S. A. Pijavskii (1972)
Shubert, B. O.,A Sequential Method Seeking the Global Maximum of a Function, SIAM Journal of Numerical Analysis, Vol. 9, pp. 379?388, 1972. (10.1137/0709036) / SIAM Journal of Numerical Analysis by B. O. Shubert (1972)
Mladineo, R. H.,An Algorithm for Finding the Global Maximum of a Multimodal, Multivariate function, presented at the 12th International Symposium on Mathematical Programming, Cambridge, Massachusetts, 1985.
Horst, R.,An Algorithm for Nonconvex Programming Problems, Mathematical Programming, Vol. 10, pp. 312?321, 1976. (10.1007/BF01580678) / Mathematical Programming by R. Horst (1976)
Thoai, N. V., andTuy, H.,Convergent Algorithms for Minimizing a Concave Function, Mathematics of Operations Research, Vol. 5, pp. 556?566, 1980. (10.1287/moor.5.4.556) / Mathematics of Operations Research by N. V. Thoai (1980)
Strongin, R. G.,Numerical Methods for Multiextremal Problems, Nauka, Moscow, USSR, 1978 (in Russian). / Numerical Methods for Multiextremal Problems by R. G. Strongin (1978)

Dates

Type	When
Created	20 years, 7 months ago (Jan. 7, 2005, 12:07 a.m.)
Deposited	6 years, 4 months ago (April 29, 2019, 2:41 p.m.)
Indexed	2 months ago (July 1, 2025, 7:06 a.m.)
Issued	38 years, 1 month ago (Aug. 1, 1987)
Published	38 years, 1 month ago (Aug. 1, 1987)
Published Print	38 years, 1 month ago (Aug. 1, 1987)

Funders 0

None

BibTeX

@article{Horst_1987, title={On the convergence of global methods in multiextremal optimization}, volume={54}, ISSN={1573-2878}, url={http://dx.doi.org/10.1007/bf00939434}, DOI={10.1007/bf00939434}, number={2}, journal={Journal of Optimization Theory and Applications}, publisher={Springer Science and Business Media LLC}, author={Horst, R. and Tuy, H.}, year={1987}, month=aug, pages={253–271} }

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