Lucía Castro

A Laurent-Series Framework for Analytical Characterisation of Singularities in Frozen-Jacobian Multi-Step Iterative Solvers: Application to the Fifth-Order Newton–Jarratt–Newton Method

We develop a Laurent-series framework for the analytical characterization of singularities in any three-step frozen-Jacobian iterative operator parametrized by (λ,α,β) (where λ controls the predictor step and (α,β) are the weight-function coefficients) and apply it to the fifth-order Newton–Jarratt–Newton (NJN) method....