Abstract
One of the greatest problems in numerical methods is to provide high speed and stability at the same time. In this paper, we propose a new hybrid root finding algorithm, based on the appropriate combination of bisection, false position and the Anderson-Bjork’s method. In the general case, the achieved convergence is compatible to the fastest available methods, while stable performance in the worst case is provided. A comparative analysis versus popular root finding algorithms is performed as well. For that purpose, the respective procedures are implemented in the C# programming language. The proposed algorithm is included into the Calcpad engineering calculations platform.
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