Nonlinear Programming

Harold W. Kuhn and Albert W. Tucker

A chapter in Traces and Emergence of Nonlinear Programming, 2014, pp 247-258 from Springer

Abstract: Abstract Linear programming deals with problems such as (see [ 4], [ 5]): to maximize a linear function $$ \rm g{x}\equiv \sum {c_{i}x_{i}} \; \rm {of} \; n \;\rm{real \; variables} \; x_{1},...,x_{n} $$ (forming a vector x) constrained by m + n linear inequalities.

Keywords: Maximum Problem; Linear Inequality; Constraint Qualification; Equivalence Theorem; Saddle Point Problem (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0439-4_11

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DOI: 10.1007/978-3-0348-0439-4_11

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