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# An Inertial Forward-Backward Algorithm for Monotone Inclusions

@article{Lorenz2014AnIF, title={An Inertial Forward-Backward Algorithm for Monotone Inclusions}, author={Dirk A. Lorenz and Thomas Pock}, journal={Journal of Mathematical Imaging and Vision}, year={2014}, volume={51}, pages={311-325} }

- Published 2014 in Journal of Mathematical Imaging and Vision
DOI:10.1007/s10851-014-0523-2

In this paper, we propose an inertial forward-backward splitting algorithm to compute a zero of the sum of two monotone operators, with one of the two operators being co-coercive. The algorithm is inspired by the accelerated gradient method of Nesterov, but can be applied to a much larger class of problems including convex-concave saddle point problems and general monotone inclusions. We prove convergence of the algorithm in a Hilbert space setting and show that several recently proposed first… CONTINUE READING

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