Duality in quadratic programming

Author:

Dorn W. S.

Abstract

A proof, based on the duality theorem of linear programming, is given for a duality theorem for a class of quadratic programs. An illustrative application is made in the theory of elastic structures.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Reference11 articles.

1. On minimizing a convex function subject to linear inequalities;Beale, E. M. L.;J. Roy. Statist. Soc. Ser. B,1955

2. A. Charnes and C. E. Lemke, The continuous limit method I; minimization of convex functionals over convex polyhedra; presented at Am. Math. Soc. Meeting, Cambridge, Mass., Aug. 1958

3. An algorithm for quadratic programming;Frank, Marguerite;Naval Res. Logist. Quart.,1956

4. A quadratic programming procedure;Hildreth, Clifford;Naval Res. Logist. Quart.,1957

5. Philip Wolfe, The simplex method for quadratic programming, RAND Rep. P-1205, Oct. 1957

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