Error bounds in the computation of outer inverses with generalized schultz iterative methods and its use in computing of Moore-Penrose inverse

DOI10.1016/j.amc.2022.127664OpenAlexW4308327382MaRDI QIDQ2101945

Maikon L. Mirkoski, Diego D. Zontini, João A. F. Santos

Publication date: 7 December 2022

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2022.127664

zbMATH Keywords

error boundsMoore-Penrose inverseround-off errorsouter inversesgeneralized Schultz iterative methods

Mathematics Subject Classification ID

Numerical linear algebra (65Fxx) Basic linear algebra (15Axx) Linear and multilinear algebra; matrix theory (15-XX)

Cites Work

• On the computation of weighted Moore-Penrose inverse using a high-order matrix method
• Rapid generalized Schultz iterative methods for the computation of outer inverses
• An accelerated iterative method for computing weighted Moore-Penrose inverse
• Generalised matrix inversion and rank computation by successive matrix powering
• Generalized inverses. Theory and applications.
• Computing the Moore-Penrose inverse using its error bounds
• Generalized Schultz iterative methods for the computation of outer inverses
• Successive matrix squaring algorithm for computing outer inverses

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