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Saddle point and duality in the optimization theory of convex set functions [4]Luenberger, D. G., Optimization by vector space methods (Wiley, New York, 1969)  Saddle point and duality in the optimization theory of convex set functions [4]Luenberger, D. G., Optimization by vector space methods (Wiley, New York, 1969)  Functional Analysis, Convex Analysis, Optimization, Numerical Linear Algebra, Hahn–Banach theory on bounded linear functionals in normed linear vector spaces. This gives rise to “dual methods” which are aimed at solving (7.7), e.g.,. 8.9 An Example of the Simplex Method . . . . . . . . . . . . . 114 11.4.3 A Duality Approach to Optimization . . . . . . . . . 170 A vector x = (x1,, xN ) in the real N-dimensional space RN can be viewed in two Course, available as a pdf file at my web site. [61] Byrne, C., and (download preprints at http://www.stat. stanford.edu/ 

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