Matthew Tam

Method of alternating projections for the general absolute value equation

JH Alcantara, JS Chen, MK Tam

Journal article  |  2023  |  Journal of Fixed Point Theory and Applications

A novel approach for solving the general absolute value equation Ax+ B| x| = c where A,B∈IRm×n and c∈IRm is presented. We reformul..

Resolvent splitting for sums of monotone operators with minimal lifting

Yura Malitsky, Matthew KK Tam

Journal article  |  2022  |  MATHEMATICAL PROGRAMMING

In this work, we study fixed point algorithms for finding a zero in the sum of n≥ 2 maximally monotone operators by using their re..

Concrush: Understanding fugitive dust production and potential emission at a recycled concrete manufacturing facility

Brendan Florio, Fillipe Georgiou, Olivier Huet, Melanie E Roberts, Matthew Tam, Dimetre Triadis

Journal article  |  2022  |  ANZIAM Journal

The production and emission of fugitive dust is a topic ofconcern that Concrush brought to the MISG, 2020. Concrushis recycled con..

Distributed forward-backward methods for ring networks

FJ Aragón-Artacho, Y Malitsky, MK Tam, D Torregrosa-Belén

Journal article  |  2022  |  Computational Optimization and Applications

In this work, we propose and analyse forward-backward-type algorithms for finding a zero of the sum of finitely many monotone oper..

Convergence rates for boundedly regular systems

ER Csetnek, A Eberhard, MK Tam

Journal article  |  2021  |  Advances in Computational Mathematics

In this work, we consider a continuous dynamical system associated with the fixed point set of a nonexpansive operator which was o..

Strengthened splitting methods for computing resolvents

Francisco J Aragon Artacho, Ruben Campoy, Matthew K Tam

Journal article  |  2021  |  COMPUTATIONAL OPTIMIZATION AND APPLICATIONS

In this work, we develop a systematic framework for computing the resolvent of the sum of two or more monotone operators which onl..

Constraint Reduction Reformulations for Projection Algorithms with Applications to Wavelet Construction

Minh N Dao, Neil D Dizon, Jeffrey A Hogan, Matthew K Tam

Journal article  |  2021  |  JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS

We introduce a reformulation technique that converts a many-set feasibility problem into an equivalent two-set problem. This techn..

Gearhart-Koshy acceleration for affine subspaces

Matthew K Tam

Journal article  |  2021  |  OPERATIONS RESEARCH LETTERS

The method of cyclic projections finds nearest points in the intersection of finitely many affine subspaces. To accelerate converg..

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

J Rieger, MK Tam

Journal article  |  2020  |  Applied Mathematics and Computation

In this work, we propose and analyse two splitting algorithms for finding a zero of the sum of three monotone operators, one of wh..

The Douglas–Rachford algorithm for convex and nonconvex feasibility problems

FJ Aragón Artacho, R Campoy, MK Tam

Journal article  |  2020  |  Mathematical Methods of Operations Research

The Douglas–Rachford algorithm is an optimization method that can be used for solving feasibility problems. To apply the method, i..