Dr. James McCaffrey of Microsoft Research presents a full-code, step-by-step tutorial on an implementation of the technique that emphasizes simplicity and ease-of-modification over robustness and ...

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 challenging tasks in numerical ...

The Drazin inverse of a lower Hessenberg matrix is considered. If A is a singular lower Hessenberg matrix, and ai,i+1 ≠ 0, i = 1,2, ···, n — 1, then AD can be given, and expressed explicitly by ...

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 ...