Abstract
In the present paper we propose three new methods for computing sequences of enclosing intervals for a zero of a real function without convexity assumptions.
The new methods have been tested on a series of published examples. The numerical experiments show that our methods are comparable in terms of efficiency with the well-known algorithms of Dekker and Brent.
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The present paper was written when this author was visiting the University of Karlsruhe. He would like to acknowledge the support provided by the University of Karlsruhe.
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Alefeld, G.E., Potra, F.A. Some efficient methods for enclosing simple zeros of nonlinear equations. BIT 32, 334–344 (1992). https://doi.org/10.1007/BF01994885
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DOI: https://doi.org/10.1007/BF01994885