Pre-Engineering 220 Introduction to MatLab ® & Scientific Programming j kiefer



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We may regard this divided difference as an estimate of at xi or at xi+1 or at the midpoint between xi and xi+1.
b. The Secant method

We simply replace by the divided difference in the Newton-Raphson formula:

.

Notice the indices: i + 1, i, i – 1. With the Secant Method, we don’t use a functional form for . We do have to carry along two values of f, however.


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