Algebraic multigrid (AMG) methods have emerged as a crucial tool for efficiently solving large, sparse linear systems, particularly those arising in complex scientific and engineering simulations.

For the C implementation on GPUs (recommended for benchmarking), please visit the following repository: $$ \begin{array}{ll} \underset{x \in \mathbb{R}^n}{\min} \quad & \langle c, x \rangle \\ \text{s ...

Standard computer implementations of Dantzig's simplex method for linear programming are based upon forming the inverse of the basic matrix and updating the inverse ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...

This project solves a toy distribution optimization problem using linear programming. The goal is to maximize the number of toys distributed to children while respecting constraints related to factory ...

Complex organizational problems and chaos are silent killers of productivity and innovation. In today’s fractured work environment, they are more prevalent than ever. Political transitions, ...

Presenting an algorithm that solves linear systems with sparse coefficient matrices asymptotically faster than matrix multiplication for any ω > 2. Our algorithm can be viewed as an efficient, ...

When I was reporting my ed tech series, I stumbled on one of the most disturbing things I’ve read in years about how technology might interfere with human connection: an article on the website of the ...