Iterative methods for computing the nonlinear Moore–Penrose metric generalized inverse of Banach space operators: convergence, error bounds, and applications | Synapse
March 3, 2026
Iterative methods for computing the nonlinear Moore–Penrose metric generalized inverse of Banach space operators: convergence, error bounds, and applications
Key Points
Moore-Penrose inverses can be computed iteratively, showing improved convergence properties.
The convergence rates are enhanced under specific assumptions on Banach space operators, with established error bounds.
Analysis of applications illustrates the practical relevance of these methods in operator theory and functional analysis.
Highlighting the need for further exploration of error bounds in more complex scenarios may enable future advancements.