On constrained extrema
نویسندگان
چکیده
منابع مشابه
On constrained extrema
Assume that I and J are smooth functionals defined on a Hilbert space H. We derive sufficient conditions for I to have a local minimum at y subject to the constraint that J is constantly J(y). The first order necessary condition for I to have a constrained minimum at y is that for some constant λ, I ′ y +λJ ′ y is identically zero. Here I ′ y and J ′ y are the Fréchet derivatives of I and J at ...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1996
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1996.176.557