HİPERYÜZEYLERDE OPTİMİZASYON ÜZERİNE

Bu çalışmada, önce bir hiperyüzeyin Hessian formu tanımlandı, sonra bu hiperyüzeylerin İkinci Temel formu ile ilişkilendirildi. Çalışmanın devamında, elde edilen formuller ile lokal ve sınırlandırılmamış ekstirim değerlerin nasıl değerlendirilebileceği gösterildi.

Anahtar Kelimeler:

Hiperyüzey, gradient, kovaryant türev, Hessianform, ikinci temel form, ekstremum

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In this work, we …rst de…ne the Hessian form of a hypersurface,then we relate it to the Second Fundamental form of the hypersurface.In the remaining part of this work, we use these formulas to show, howto evaluate the local and restricted extreme values of the hypersurfaceaccording to a given hyperplane

Keywords:

Hypersurface, gradient, covariant derivative, Hessianform, second fundamental form, extremum,

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