inertial proximal point methodKurdyka-Lojasiewicz propertynonconvex optimizationnonsmoothThe alternating direction method of multipliers (ADMM) is an efficient method for solving separable problems. However, ADMM may not converge when there is a nonconvex function in the objective. The main contributions ...
If V=0, this reduces to a relaxed inertial proximal point method analyzed by Attouch and Cabot [2]. If \rho _{k}=1, an inertial forward-backward splitting method is recovered, first studied by Lorenz and Pock [45]. Convergence guarantees for the forward-backward splitting rely on the co...
R. (2009). Fixed point theory for Lipschitzian-type mappings with applications (Vol. 6, pp. x+-368). New York: Springer 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–...
Convergence analysis for the proximal split feasibility problem using an inertial extrapolation term method In this paper, we present a proximal split feasibility algorithm with an additional inertial extrapolation term for solving a proximal split feasibility pr... Y Shehu,OS Iyiola - 《Journal of Fi...
By contrast, the proximal links and the platform are respectively associated with actuated joint and Cartesian velocities. To remove passive velocities, the point mass method is applied, where the distal links are replaced by point masses. The point masses should attach to the endpoints of distal ...
Additionally, the single sensor location on the ankle might also limit the ability of the method, since motion of more proximal segments cannot be accounted for. Placing the sensor on the pelvis, near to the centre of mass, for example, might be required (Lim et al. 2019; Alcantara et ...
Cai X, Guo K, Jiang F, Wang K, Wu Z, Han D (2022) The developments of proximal point algorithms. J Oper Res Soc China 10:197–239 ArticleMathSciNetGoogle Scholar Chao M, Han D, Cai X (2021) Convergence of the Peaceman–Rachford splitting method for a class of nonconvex programs....
For some years now, many methods have focused on solving the SEP (see, [10,21,26] and the references therein). For instance, He [13] proposed the following proximal point method for solving the SEP (1.1)–(1.2): $$\begin{aligned} {\left\{ \begin{array}{ll} x_0\in C,\\ y_...
10. A method of reducing a thermal gradient of an assembly, the method comprising: determining temperatures of a plurality of regions of the assembly; and adjusting the temperature of a plurality of heating elements proximal to the assembly based on the temperatures of the plurality of regions, ...
10.A method of rotating a drive oscillation pattern on an axisymmetric resonant body comprising:providing a vibrating gyroscope comprising:a resonant body axisymmetric about a central axis;a first drive element pair in diametric opposition about said central axis and configured to drive a first vibrat...