Multiple Nonlinear Equations using the Newton-Raphson Method
Multiple Nonlinear Equations using the Newton-Raphson Method For systems of equations the Newton-Raphson method is widely used, especially for the equations arising from solution of differential equations. Write a Taylor expansion in several variables. The Jacobian matrix is defined as and the Newton-Raphson method is Since the Jacobian depends on the iterate, it must be evaluated at each iterat..
