Drazin inverses and their modern generalisations constitute a pivotal area of operator theory within Banach algebras. These inverse concepts extend the classic notion of the matrix inverse to settings ...

This article proposes a method for computing the Moore–Penrose inverse of a complex matrix using polynomials in matrices. Such a method is valid for all matrices and does not involve spectral ...

In this article, we study the forward order laws for {1, 2, 3}- and {1, 2, 4}-inverses of a product of three matrices by using the maximal and minimal ranks of the generalized Schur complement. The ...

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 ...