We'll look at how to use SciPy to numerically solve linear systems corresponding to square matrices. We'll also look at how to implement row operations (Gaussian elimination). First we import the ...

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 ...

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 ...

James R. Bunch, Linda Kaufman, Some Stable Methods for Calculating Inertia and Solving Symmetric Linear Systems, Mathematics of Computation, Vol. 31, No. 137 (Jan ...

The most famous quantum linear system solving algorithm is the Harrow-Hassidim-Lloyd (HHL) algorithm, which accelerates the solution of linear systems through quantum superposition and interference.

Gaussian Elimination The general procedure learned to solve a system of linear equations is Gaussian elimination. The goal is to apply row operations to "eliminate" all the variables except for one in ...