An iterative algorithm for estimating the MoorePenrose generalized inverse is developed. The main motive for the construction of the algorithm is simultaneous usage of Penrose equations (2) and (4). Convergence properties of the introduced method as well as their first-order and second-order error terms are considered. Numerical experiment is also presented. © 2010 Elsevier B.V. All rights reserved.
Petkovi, M. D., & Stanimirovi, P. S. (2011). Iterative method for computing the MoorePenrose inverse based on Penrose equations. Journal of Computational and Applied Mathematics, 235(6), 1604–1613. https://doi.org/10.1016/j.cam.2010.08.042