LXXVIII. Some devices for the solution of large sets of simultaneous linear equations
William Jolly Duncan · The London Edinburgh and Dublin Philosophical Magazine and Journal of Science · 1944
Summary The method proposed is not new in principle, but by help of the matrix notation it is expressed in the most general and concise form. The unknowns and equations are divided into subsets, which is equivalent to the partitioning of the matrices of the coefficients and constants. Operations with the sub-matrices yield the complete solution of the problem. The process is of particular value when facilities exist for the solution of a certain limited number of simultaneous linear equations and it is required to solve a more numerous set.