The Natural Components of a Regular Linear System
Oxford Bulletin of Economics and Statistics
Published online on February 16, 2026
Abstract
["Oxford Bulletin of Economics and Statistics, EarlyView. ", "\nABSTRACT\nThe analysis of a finite‐dimensional regular linear system may be simplified by separating the system into its natural components. The natural components are smaller linear systems on separate subspaces whose dimensions sum to the dimension of the original linear system. Each natural component has a single eigenvalue and may be studied in isolation. By reassembling the natural components we obtain a general characterisation of the set of all solutions to the original linear system which contains the core content of the Granger‐Johansen theorem.\n"]