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Rate of Convergence of the Bundle Method

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The number of iterations needed by the bundle method for nonsmooth optimization to achieve a specified solution accuracy can be bounded by the product of the inverse of the accuracy… Click to show full abstract

The number of iterations needed by the bundle method for nonsmooth optimization to achieve a specified solution accuracy can be bounded by the product of the inverse of the accuracy and its logarithm, if the function is strongly convex. The result is true for the versions of the method with multiple cuts and with cut aggregation.

Keywords: bundle method; convergence bundle; rate convergence; method

Journal Title: Journal of Optimization Theory and Applications
Year Published: 2017

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