scholarly journals Local and global convergence of a general inertial proximal splitting scheme for minimizing composite functions

2017 ◽  
Vol 67 (2) ◽  
pp. 259-292 ◽  
Author(s):  
Patrick R. Johnstone ◽  
Pierre Moulin
Author(s):  
Bruce Rogers ◽  
Gregory K. Fricke ◽  
Devendra P. Garg

Representation of a swarm of independent robotic agents under graph-theoretic constructs allows for more formal analysis of convergence properties. We consider the local and global convergence behavior of an N-member swarm of agents in a modified consensus problem wherein the connectivity of agents is governed by probabilistic functions. The addition of a random walk control ensures ε-stability of the swarm consensus. Simulation results are given to show the rate of convergence to consensus and planned experiments are described.


2011 ◽  
Vol 2011 ◽  
pp. 1-12 ◽  
Author(s):  
Shou-qiang Du ◽  
Yan Gao

Two kinds of the Levenberg-Marquardt-type methods for the solution of vertical complementarity problem are introduced. The methods are based on a nonsmooth equation reformulation of the vertical complementarity problem for its solution. Local and global convergence results and some remarks about the two kinds of the Levenberg-Marquardt-type methods are also given. Finally, numerical experiments are reported.


1995 ◽  
Vol 75 (7) ◽  
pp. 1415-1418 ◽  
Author(s):  
N. Barkai ◽  
H. S. Seung ◽  
H. Sompolinsky

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