Solving non-linear equations containing spline interpolation function by relaxing the Newton method

Newton method is one of the most widely used algorithms for solving nonlinear equations numerically. However, it requires the derivative of function that sometimes rises many problems. This paper described the Newton method with relaxation for solving a non-linear equation containing Spline interpolation function. The experiments showed the fact that the relaxation worked well on solving a non-linear equation containing the Spline interpolation function.