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.

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

We associate a sequence of Toeplitz matrices with the rational formal power series $T (z)$. An algorithm for solving linear equations with a Toeplitz matrix from this sequence is given.

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 ...