Solving Linear Systems (NumPy) Most linear algebra courses start by considering how to solve a system of linear equations.

An algorithm for solving linear equations with a Toeplitz matrix from this sequence is given. The algorithm requires $O (n)$ operations to solve a set of $n$ equations, for $n$ sufficiently large.

New algorithms for constructing the Hermite normal form (triangular) and Smith normal form (diagonal) of an integer matrix are presented. A new algorithm for determining the set of solutions to a ...