A Comparative Analysis of Rate of Convergence For Linear And Quadratic Approximations in N-R Method

Shiv Kumar Sharma

– Raphson (N-R) Method is commonly used in the solution of algebraic equations and transcendental equations. Using Taylor’s theorem for expansion of functions, generally expansion is truncated as linear approximation. In this research work, expansion of function is truncated as quadratic approximation and then a comparative analysis was done for linear and quadratic approximations.