We present a new direct algorithm for solving a system of linear equations with a positive definite matrix by discretizing a continuous-time dynamical system for a large sampling time. The obtained ...

In this article, we study system of Riccati equations using the operational matrix method. This system is important since it has several applications in different areas such as random process, optimal ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

Because IML is built around traditional matrix algebra notation, it is often possible to directly translate mathematical methods from matrix algebraic expressions into executable IML statements. For ...

We develop an algorithm for solving a system of diophantine equations with lower and upper bounds on the variables. The algorithm is based on lattice basis reduction. It first finds a short vector ...

3. Solving Systems of Linear Equations using Matrices Solving linear equations is a primary application of matrices. Here’s a step-by-step process for solving systems of linear equations using ...