Fixedpointiterationer
Fixedpointiterationer, commonly called fixed-point iteration, is a numerical method used to compute solutions to equations by transforming them into a fixed-point problem x = g(x). The objective is to find a fixed point x* of g, where applying g to x* yields x* itself.
The method is implemented by choosing an initial guess x0 and then generating a sequence x1, x2,
A local convergence criterion is that, if g is differentiable near x* and |g′(x*)| < 1, the method
Fixed-point iteration is widely used for solving nonlinear equations, often after reformulating the original problem into