
Frequently in scientific computing, iteration is used to provide a numerical approximation. Often, the approximation is improved at each iteration, producing a sequence of values that would converge to some “right answer” in an infinite number of iterations. Such is the case for the approximation of v 1/() based on its series expansion y1 The first iteration leads to the approximation yo 1, while the next leads to yi 1-2, clearly an improvement (for læl 〈 1). In practice, an
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