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The Kuhn-Tucker Theorem in Concave Programming

In: Traces and Emergence of Nonlinear Programming

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  • Hirofumi Uzawa

Abstract

In order to solve problems of constrained extrema, it is customary in the calculus to use the method of the Lagrangian multiplier. Let us, for example, consider a problem: maximize f(x1,•••, xn) subject to the restrictions g(x1,•••, xn)=0 (k=1, • ••,m).

Suggested Citation

  • Hirofumi Uzawa, 2014. "The Kuhn-Tucker Theorem in Concave Programming," Springer Books, in: Giorgio Giorgi & Tinne Hoff Kjeldsen (ed.), Traces and Emergence of Nonlinear Programming, edition 127, pages 307-312, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-0439-4_15
    DOI: 10.1007/978-3-0348-0439-4_15
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