The Darboux point

The Darboux point

Mereau, P. M.; Powers, W. F.

1975-12

Citation: Mereau, P. M.; Powers, W. F.; (1975). "The Darboux point." Journal of Optimization Theory and Applications 17 (5-6): 545-559. <http://hdl.handle.net/2027.42/45205>

Abstract: A theory of global optimality based upon the Darboux-point concept is developed. A definition is proposed for the Darboux point, and the Darboux point is shown to exist on nonglobally optimal trajectories under relatively general conditions. A mutually exclusive classification of Darboux points is noted, and several properties are proved for one of these classes (the Type-1 Darboux point). Numerous examples are included to illustrate the Darboux-point definition and properties.

ISSN: 0022-3239, 1573-2878

DOIs: http://dx.doi.org/10.1007/BF00932789

Handle: http://hdl.handle.net/2027.42/45205

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