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math.OC2018
Optimization of triangular networks with spatial constraints
Valentin R. Koch, Hung M. Phan
A common representation of a three dimensional object in computer applications, such as graphics and design, is in the form of a triangular mesh. In many instances, individual or g…
math.OC2018
Computing the resolvent of the sum of operators with application to best approximation problems
Minh N. Dao, Hung M. Phan
We propose a flexible approach for computing the resolvent of the sum of weakly monotone operators in real Hilbert spaces. This relies on splitting methods where strong convergence…
math.OC2018
Adaptive Douglas-Rachford splitting algorithm for the sum of two operators
Minh N. Dao, Hung M. Phan
The Douglas-Rachford algorithm is a classical and powerful splitting method for minimizing the sum of two convex functions and, more generally, finding a zero of the sum of two max…