Circulant matrices are a special class of structured matrices that underpin a diverse range of applications in mathematics and engineering. Characterised by the property that each row is a cyclic ...

The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

It is shown that the Moore-Penrose pseudoinverse $C^+$ of an $r$-circulant matrix $C$ is always the conjugate transpose of an $r$-circulant matrix. In addition ...