An improved method for the computation of the Moore-Penrose inverse matrix

TL;DR

This paper introduces a faster and more accurate computational method for calculating the Moore-Penrose inverse of both singular square and rectangular matrices, applicable to full and sparse matrices.

Contribution

The paper presents a novel computational technique that outperforms existing methods in speed and accuracy for Moore-Penrose inverse calculation.

Findings

Significantly faster computation times

Improved accuracy over previous methods

Effective for full and sparse matrices

Abstract

In this article we provide a fast computational method in order to calculate the Moore-Penrose inverse of singular square matrices and of rectangular matrices. The proposed method proves to be much faster and has significantly better accuracy than the already proposed methods, while works for full and sparse matrices.