35 citations · 142 across the 22 of their papers we have counts for
6 papers · 1 filter
Conditional extragradient algorithms for solving variational inequalities
J. Y. Bello Cruz, R. Díaz Millán, Hung M. Phan
In this paper, we generalize the classical extragradient algorithm for solving variational inequality problems by utilizing nonzero normal vectors of the feasible set. In particula…
Stadium norm and Douglas-Rachford splitting: a new approach to road design optimization
Heinz H. Bauschke, Valentin R. Koch, Hung M. Phan
The basic optimization problem of road design is quite challenging due to a objective function that is the sum of nonsmooth functions and the presence of set constraints. In this p…
On the convexity of piecewise-defined functions
Heinz H. Bauschke, Yves Lucet, Hung M. Phan
Functions that are piecewise defined are a common sight in mathematics while convexity is a property especially desired in optimization. Suppose now a piecewise-defined function is…
Optimal rates of convergence of matrices with applications
Heinz H. Bauschke, J. Y. Bello Cruz, Tran T. A. Nghia +2
We present a systematic study on the linear convergence rates of the powers of (real or complex) matrices. We derive a characterization when the optimal convergence rate is attaine…
Linear and strong convergence of algorithms involving averaged nonexpansive operators
Heinz H. Bauschke, Dominikus Noll, Hung M. Phan
We introduce regularity notions for averaged nonexpansive operators. Combined with regularity notions of their fixed point sets, we obtain linear and strong convergence results for…
Linear Convergence of the Douglas-Rachford Method for Two Closed Sets
Hung M. Phan
In this paper, we investigate the Douglas-Rachford method for two closed (possibly nonconvex) sets in Euclidean spaces. We show that under certain regularity conditions, the Dougla…