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Two Efficient Algorithms with Guaranteed Convergence for Finding a Zero of a Function

✍ Scribed by Bus, J. C. P.; Dekker, T. J.


Book ID
124159575
Publisher
Association for Computing Machinery
Year
1975
Tongue
English
Weight
809 KB
Volume
1
Category
Article
ISSN
0098-3500

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We consider two hybrid algorithms for finding an \(\varepsilon\)-approximation of a root of a convex real function that is twice differentiable and satisfies a certain growth condition on the intervial \([0, R]\). The first algorithm combines a binary search procedure with Newton's method. The binar