SME
Numerical Methods for Engineers · Problem type
Bracketing or open methods
Use this for “Is the secant method a bracketing method or an open one?”
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Does the method keep the root trapped between two ends?
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A bracketing method keeps a sign change; an open one can be faster but may run away.
Assumptions
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A bracketing method starts from a and b with f(a) and f(b) of opposite signs.
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An open method starts from one or two guesses that need not surround the root.
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