Chapter 1

The secant method always uses the latest two points without the requirement that they bracket the root as shown in Figure 1.4 for points [x3, f(x3)] and [x4, f(x4)]. As a consequence, the secant method can sometime diverge. A Matlab program for the secant method is listed in Table 1.2 where the function f(x) is an input to the program. ................
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