activity
20182021
most citedA Douglas-Rachford construction of non-separable continuous compactly supported multidimensional wavelets

3 citations · 3 across the 3 of their papers we have counts for

collaborators

11 papers

math.OC2021

Method of Alternating Projection for the Absolute Value Equation

Jan Harold Alcantara, Jein-Shan Chen, Matthew K. Tam

A novel approach for solving the general absolute value equation where and is presented. We reformulate the equati…

math.OC2020

Strengthened Splitting Methods for Computing Resolvents

Francisco J. Aragón Artacho, Rubén Campoy, Matthew K. Tam

In this work, we develop a systematic framework for computing the resolvent of the sum of two or more monotone operators which only activates each operator in the sum individually.…

math.OC2020

Gearhart-Koshy Acceleration for Affine Subspaces

Matthew K. Tam

The method of cyclic projections finds nearest points in the intersection of finitely many affine subspaces. To accelerate convergence, Gearhart and Koshy proposed a modification w…

math.CA20203 cited

A Douglas-Rachford construction of non-separable continuous compactly supported multidimensional wavelets

David Franklin, Jeffrey A. Hogan, Matthew K. Tam

After re-casting the -dimensional wavelet construction problem as a feasibility problem with constraints arising from the requirements of compact support, smoothness and orthogo…

math.OC2020

Constraint reduction reformulations for projection algorithms with applications to wavelet construction

Minh Dao, Neil Dizon, Jeffrey Hogan +1

We introduce a reformulation technique that converts a many-set feasibility problem into an equivalent two-set problem. This technique involves reformulating the original feasibili…

math.OC2020

Backward-Forward-Reflected-Backward Splitting for Three Operator Monotone Inclusions

Janosch Rieger, Matthew K. Tam

In this work, we propose and analyse two splitting algorithms for finding a zero of the sum of three monotone operators, one of which is assumed to be Lipschitz continuous. Each it…