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Accelerations for global optimization covering methods using second derivatives (1994)

Baritompa, William ; Cutler, Adele

Springer

Journal of global optimization 4 (1994), S. 329-341

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ISSN: 1573-2916

Keywords: Global optimization ; covering methods ; deterministic ; mathematical programming ; 90C30 ; 65K05

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract Two improvements for the algorithm of Breiman and Cutler are presented. Better envelopes can be built up using positive quadratic forms. Better utilization of first and second derivative information is attained by combining both global aspects of curvature and local aspects near the global optimum. The basis of the results is the geometric viewpoint developed by the first author and can be applied to a number of covering type methods. Improvements in convergence rates are demonstrated empirically on standard test functions.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01098365

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