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math.NA2025
Efficient and stable derivative-free Steffensen algorithm for root finding
Alexandre Wagemakers, Vipul Periwal
We explore a family of numerical methods, based on the Steffensen divided difference iterative algorithm, that do not evaluate the derivative of the objective functions. The family…
math.NA2024
Annealing approach to root-finding
Junghyo Jo, Alexandre Wagemakers, Vipul Periwal
The Newton-Raphson method is a fundamental root-finding technique with numerous applications in physics. In this study, we propose a parameterized variant of the Newton-Raphson met…