A class of simultaneous methods for the zeros of analytic functions
Methods for simultaneously approximating simple zeros of analytic functions are presented. Their order of convergence is \(m+2\), where \(m\) is the order of the highest derivative of the analytic function appearing in the iterative formula. Attention is paid to the total-step and single- step methods with Newton and Halley corrections because of their high computational efficiency.
scientific article; zbMATH DE number 60618