Newton's iteration is modified for the computation of the group inverses of singular Toeplitz matrices. At each iteration, the iteration matrix is approximated by a matrix with a low displacement rank ...

Absolute value equations (AVEs), characterised by the inclusion of absolute value functions in the variables, present inherently non‐smooth and computationally challenging problems that are often ...

Given a sequence $\{x_n\}^\infty_{n=0}$ in a Banach space, it is well known that if there is a sequence $\{t_n\}^\infty_{n=0}$ such that $\|x_{n+1} - x_n\| \leqslant ...

Dozens of machine learning algorithms require computing the inverse of a matrix. Computing a matrix inverse is conceptually easy, but implementation is one of the most difficult tasks in numerical ...