Newton's diagram is a graphical representation used to visualize the iterations of Newton's method, which is employed for finding successively better approximations to the roots of a real-valued function. This diagram helps in understanding how the method converges to a root, showing the tangent lines at points and how they intersect the x-axis to identify subsequent approximations. By illustrating these relationships, it provides insight into the efficiency and behavior of Newton's method in solving nonlinear equations.
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