INVERSE-FREE NEWTON'S METHOD
We present a modification of Newton's method for finding a zero of a multivariable function without an inverse of a matrix in a recurrence. The aim of this paper is twofold: demonstrating at least quadratic convergence of a Newton-type method avoiding matrix inversion under standard assumptions, and then comparing modified and classical Newton's methods numerically.
Authors
- Magdalena Nockowska‐Rosiak (ORCID: https://orcid.org/0000-0003-2720-1761)
- Marcin Massalski
Publication Details
- Journal
- Journal of Applied Analysis & Computation
- Published
- 2025-01-01
- DOI
- https://doi.org/10.11948/20240428
- Primary Topic
- Iterative Methods for Nonlinear Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00