How many iterations does it take to converge

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(a) Suppose Newton's method is applied to a linear system Ax = b. How does the iterative formula look and how many iterations does it take to converge?

(b) Suppose the Jacobian matrix is singular at the solution of a nonlinear system of equations. Speculate what can occur in terms of convergence and rate of convergence. Specifically, is it possible to have a situation where the Newton iteration converges but convergence is not quadratic?

Reference no: EM131252545

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