 Characterizations, iterative method, sign pattern and perturbation analysis for the DMP inverse with its applicationsHaifeng Ma, Xiaoshuang Gao and Predrag S. Stanimirović Applied Mathematics and Computation, 2020, vol. 378, issue C Abstract: This paper is a study on main properties and characterizations of the DMP inverse. Also, corresponding representations and computational procedures are derived. Particularly, an upgrade of the bordering method to the case of the DMP inverse is considered as well as applications of the DMP inverse in solving singular linear systems. Also, the DMP inverse of an upper block triangular matrix and its sign pattern are investigated. Furthermore, several computational procedures aimed to approximating the DMP inverse are developed, implemented and tested. The main of them are the limit representation, a revised successive matrix squaring iterations and the Gradient Neural Network (GNN) dynamical system. Finally, some perturbation bounds and continuity of the DMP inverse are studied. Keywords: DMP Inverse; Drazin inverse; Moore-Penrose inverse; Schur decomposition; Sign pattern; Cramer rule; Successive matrix squaring algorithm; Perturbation (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:378:y:2020:i:c:s009630032030165x DOI: 10.1016/j.amc.2020.125196 Access Statistics for this article Applied Mathematics and Computation is currently edited by Theodore Simos More articles in Applied Mathematics and Computation from Elsevier |
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