The Newton Bracketing NB Method

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The Newton Bracketing (NB) Method

• Adi Ben-Israel (Rutgers University)
• Yuri Levin (Queens University)

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The complex Newton method
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The complex Newton method
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The NB method for n1
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The NB method for n1
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The NB method for n1
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Example of f with unattained infimum
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The NB method for n gt 1
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Maximal Nonincrease Step
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Sufficient Condition
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The Fermat-Weber Location Problem
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The NB Method for Location
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Bad Example
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Nice Level Sets, Flat Minimum
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The NB Method (Numerical Experience)
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Guaranteed Decrease in Newtons Method
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Guaranteed Reduction
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Outline of Proof
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References
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