Linear systems are the building blocks of countless real-world phenomena, from engineering to economics. This project explores the elegant methods used to solve these systems. The Gauss method is ...

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, ...

This paper presents an overview of the multifrontal method for the solution of large sparse symmetric positive definite linear systems. The method is formulated in terms of frontal matrices, update ...

The affine rank minimization problem consists of finding a matrix of minimum rank that satisfies a given system of linear equality constraints. Such problems have appeared in the literature of a ...

Abstract: We propose a Model Predictive Control (MPC) with a single-step prediction horizon to approximate the solution of infinite horizon optimal control problems with the expected sum of convex ...

The file will be used as a module; a runner code linear_algebra_runner.py will import the file and use it. Therefore, linear_algebra.py should not have a "main" block or the "main" block must be ...

There are many technical and commercial factors that original equipment manufacturers (OEMs) must evaluate when designing motion control solutions for industrial machinery. Many types of industrial ...