Root-finding: from Newton to Halley and beyond
Root-finding: from Newton to Halley and beyond ArXiv ID: 2312.12305 “View on arXiv” Authors: Unknown Abstract We give a new improvement over Newton’s method for root-finding, when the function in question is doubly differentiable. It generally exhibits faster and more reliable convergence. It can be also be thought of as a correction to Halley’s method, as this can exhibit undesirable behaviour. Keywords: Root-finding, Newton’s method, Optimization algorithms, Numerical methods, General / Quantitative Methods ...