Continuous Gradient Projection Method in Hilbert Spaces

By Jérôme Bolte. 2003

77 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/4fe5c14a5019d6c01d445e9966517e99ba053c3f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Ernö Robert Csetnek
2. Radu Ioan Bot
3. Boushra Abbas
4. Paul-Emile Maingé
5. Hédy Attouch

In Computational Theory and Mathematics

1. Ernö Robert Csetnek
2. Radu Ioan Bot
3. Paul-Emile Maingé
4. Hédy Attouch
5. Boushra Abbas
6. Yekini Shehu
7. Duong Viet Thong
8. Dang Van Hieu

In Mathematical Physics

1. Ernö Robert Csetnek
2. Radu Ioan Bot
3. Paul-Emile Maingé
4. Boushra Abbas
5. Hédy Attouch
6. Yekini Shehu
7. Wotao Yin
8. Jérôme Bolte

Citations in the corpus

• A Dynamical System Associated with the Fixed Points Set of a Nonexpansive Operator (2014, background): “In [7], Bolte studied the convergence of the trajectories of the following dynamical system”
• ASYMPTOTIC BEHAVIOR OF SECOND-ORDER DISSIPATIVE EVOLUTION EQUATIONS COMBINING POTENTIAL WITH NON-POTENTIAL EFFECTS ∗ (2009, background): “An extended study of the corresponding first-order system has been achieved in [18,19].”
• Dynamical systems and forward–backward algorithms associated with the sum of a convex subdifferential and a monotone cocoercive operator (2014, background): “The following system first considered by Antipin [8], and Bolte [9] overcomes some of these difficulties: ẋ(t) + x(t) − projC (x(t) − μ∇ (x(t))) = 0.”