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math.NA2023
The complex-step Newton method and its convergence
Dimitrios Mitsotakis
Considered herein is a modified Newton method for the numerical solution of nonlinear equations where the Jacobian is approximated using a complex-step derivative approximation. We…
math.NA2023
On iterative methods based on Sherman-Morrison-Woodbury splitting
Dimitrios Mitsotakis
We consider a new splitting based on the Sherman-Morrison-Woodbury formula, which is particularly effective with iterative methods for the numerical solution of large linear system…