Gradient Methods with Regularization for Constrained Optimization Problems and Their Complexity Estimates

Igor Konnov

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arXiv · 1705.01396

Gradient Methods with Regularization for Constrained Optimization Problems and Their Complexity Estimates

Igor Konnov

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Abstract

We suggest simple implementable modifications of conditional gradient and gradient projection methods for smooth convex optimization problems in Hilbert spaces. Usually, the custom methods attain only weak convergence. We prove strong convergence of the new versions and establish their complexity estimates, which appear similar to the convergence rate of the weakly convergent versions.

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Igor Konnov. 2017-05-03. Gradient Methods with Regularization for Constrained Optimization Problems and Their Complexity Estimates. https://arxiv.org/abs/1705.01396

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