First Order Conditions for General Nonlinear Optimization
SIAM Journal on Applied MathematicsPublished 1 June 1976
Stephen M. Robinson
Citations131
SJR quartileQ1
SJR score0.83
SNIP1.14
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Abstract
We show how first order optimality conditions for a very general nonlinear optimization problem may be derived in a conceptually simple and unified manner in terms of certain multivalued functions associated with the problem. Necessary conditions for general problems and sufficient conditions for convex problems are developed, and the classical multiplier conditions are shown to be related in a simple way to these.
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Computer ScienceMathematicsEngineering
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