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A generalization of Polyak's convergence result for subgradient optimization
Authors:Ellen Allen  Richard Helgason  Jeffery Kennington  Bala Shetty
Affiliation:(1) Department of Operations Research, Southern Methodist University, 75275 Dallas, TX, USA;(2) Department of Business Analysis, Texas A & M University, 77843 College Station, TX, USA
Abstract:
This paper generalizes a practical convergence result first presented by Polyak. This new result presents a theoretical justification for the step size which has been successfully used in several specialized algorithms which incorporate the subgradient optimization approach.
Keywords:Subgradient optimization  nonlinear programming  convergence
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