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A Two-Point Newton Method suitable for non-convergent Cases and with Super-Quadratic Convergence
[article]
2012
arXiv
pre-print
An iterative formula based on Newton Method alone is presented for the iterative solutions of equations that ensures convergence in cases where the traditional Newton Method may fail to converge to the desired root. In addition, the method has super quadratic convergence of order 2.414. Newton method is said to fail in certain cases leading to oscillation, divergence to increasingly large number or off-shooting away to another root further from the desired domain or off shooting to an invalid
arXiv:1210.5766v2
fatcat:x5kspfyu7jefdlnuyhsmru62vq