Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity-Reference-Cited by-同舟云学术

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Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity

Published:2016-03-24 Issue:1-2 Volume:168 Page:123-175
ISSN:0025-5610
Container-title:Mathematical Programming
language:en
Short-container-title:Math. Program.

Author:

Attouch Hedy,Chbani Zaki,Peypouquet Juan,Redont Patrick

Funder

Air Force Office of Scientific Research, Air Force Material Command, USAF

Fondecyt

Conicyt Anillo

ECOS-Conicyt

Millenium Nucleus ICM/FIC

MATHAMSUD

Conicyt Redes

Basal Project

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics,Software

Link

http://link.springer.com/article/10.1007/s10107-016-0992-8/fulltext.html

Reference36 articles.

1. Abbas, B., Attouch, H., Svaiter, B.F.: Newton-like dynamics and forward–backward methods for structured monotone inclusions in Hilbert spaces. J. Optim. Theory Appl. 161(2), 331–360 (2014)

2. Alvarez, F.: On the minimizing property of a second-order dissipative system in Hilbert spaces. SIAM J. Control Optim. 38(4), 1102–1119 (2000)

3. Alvarez, F., Attouch, H.: An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping. Set Valued Anal. 9(1–2), 3–11 (2001)

4. Alvarez, F., Attouch, H., Bolte, J., Redont, P.: A second-order gradient-like dissipative dynamical system with Hessian-driven damping. Application to optimization and mechanics. J. Math. Pures Appl. 81(8), 747–779 (2002)

5. Alvarez, F., Peypouquet, J.: Asymptotic almost-equivalence of Lipschitz evolution systems in Banach spaces. Nonlinear Anal. 73(9), 3018–3033 (2010)

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