2024/12/11 by Dijoux, Yann · 1 citation
#00A05 #FOS: Mathematics #General Mathematics (math.GM)
paper · doi:10.48550/arxiv.2501.04703
The Householder's method is a root-find algorithm which is a natural extension of the methods of Newton and Halley. The current paper mostly focuses on approximating the square root of a positive real number based on these methods. The resulting algorithms can be expressed using Chebyshev polynomials. An extension to the nth root is also proposed.