Whether you manipulate the equations or take the matrix route, you’ll end up performing the same total number of computational steps to solve the problem. That number is the cube of the number of ...

Bradley W. Dickinson, Solution of Linear Equations with Rational Toeplitz Matrices, Mathematics of Computation, Vol. 34, No. 149 (Jan., 1980), pp. 227-233 ...

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 ...