| 1. | The method is a generalization of the secant method.
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| 2. | The secant method can be thought of as a finite difference approximation of Newton's method.
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| 3. | This can be compared with 1.62 for the secant method and 2 for Newton's method.
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| 4. | Hi, i am having problems understanding the differences between the secant method and the method of false position.
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| 5. | The methods given below for optimization refer to an important subclass of quasi-Newton methods, secant methods.
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| 6. | For " k " = 1 these two methods are identical : it is the secant method.
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| 7. | The false position method ( or " regula falsi " ) uses the same formula as the secant method.
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| 8. | Quasi-Newton methods are generalizations of the secant method to find the root of the first derivative for multidimensional problems.
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| 9. | If the initial values are not close enough to the root, then there is no guarantee that the secant method converges.
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| 10. | Furthermore, Brent's method uses inverse quadratic interpolation instead of linear interpolation ( as used by the secant method ).
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