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On the query complexity of finding a local maximum point. (English) Zbl 1042.68054

We calculate the minimal number of queries sufficient to find a local maximum point of a function on a discrete interval, for a model with \(M\) parallel queries, \(M\geqslant1\). Matching upper and lower bounds are obtained. The bounds are formulated in terms of certain Fibonacci type sequences of numbers.

MSC:

68Q25 Analysis of algorithms and problem complexity
Full Text: DOI

References:

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