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An Interval Arithmetic Algorithm for Multivariate Constrained Global Optimization Using Cord-Slope Forms of Taylor's Expansion
Yugoslav journal of operations research, Tome 8 (1998) no. 2, p. 189 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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A new algorithm, based on interval analysis , is proposed for global optimization of constrained nonlinear nonconvex functions of several variables. It exploits the cord-slope form of Taylor's expansion in several ways , Computational results, including a comparison with results of Sengupta are reported.
Classification : 65K05 90C30 65G30
Keywords: Global optimization, interval arithmetic, Taylor expansion, cord-slope form 
@article{YJOR_1998_8_2_a0,
     author = {Pierre Hansen and Brigitte Jaumard and Junjie Xiong},
     title = {An {Interval} {Arithmetic} {Algorithm} for {Multivariate} {Constrained} {Global} {Optimization} {Using} {Cord-Slope} {Forms} of {Taylor's} {Expansion}},
     journal = {Yugoslav journal of operations research},
     pages = {189 },
     year = {1998},
     volume = {8},
     number = {2},
     zbl = {0948.65060},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/YJOR_1998_8_2_a0/}
}
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Pierre Hansen; Brigitte Jaumard; Junjie Xiong. An Interval Arithmetic Algorithm for Multivariate Constrained Global Optimization Using Cord-Slope Forms of Taylor's Expansion. Yugoslav journal of operations research, Tome 8 (1998) no. 2, p. 189 . http://geodesic.mathdoc.fr/item/YJOR_1998_8_2_a0/