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}
}
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
Highly Cited
This paper has 51 citations. REVIEW CITATIONS
Recent Discussions
This paper has been referenced on Twitter 3 times over the past 90 days. VIEW TWEETS
34 Citations
50 References
Similar Papers

Citations

Publications citing this paper.
Showing 1-10 of 34 extracted citations

52 Citations

010202015201620172018
Citations per Year
Semantic Scholar estimates that this publication has 52 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.
Showing 1-10 of 50 references

An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping

  • F. Alvarez, H. Attouch
  • Set-Valued Anal. 9(1–2), 3–11
  • 2001
Highly Influential
5 Excerpts

Introductory lectures on convex optimization: a basic course

  • Y. Nesterov
  • Applied Optimization, vol. 87. Kluwer Academic…
  • 2004
Highly Influential
5 Excerpts

Similar Papers

Loading similar papers…