Birna P. Kristinsdottir

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We are given an unknown univariate Lipschitz continuous function that we wish to estimate by evaluating the function sequentially at distinct points. We provide a procedure for recursively selecting this sequence of points so that, averaging over points in the domain the resulting worst case error between the estimating and actual functions is minimized.(More)
We consider the use of a generalized interval arithmetic in algorithms for solving nonlinear equations or systems of nonlinear equations. The algorithms can involve either derivatives or slopes. The convergence rate is improved for either form. The improvement is greater if slopes, rather than derivatives, are used. However, the slope method is applicable(More)
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