Citation: Neuert S, Nair S, Day MR, Doumith M, Ashton PM, Mellor KC, Jenkins C, Hopkins KL, Woodford N, de Pinna E, Godbole G and Dallman TJ (2018) Prediction of Phenotypic Antimicrobial Resistance Profiles From Whole Genome Sequences of Non-typhoidal Salmonella enterica. Front. Microbiol. 9:592. doi: 10.3389/fmicb.2018.00592 Prediction of Phenotypic Antimicrobial Resistance Profiles From Whole...

In this paper, we present a new one-parameter fourth-order family of iterative methods for solving nonlinear equations. The new family requires two evaluations of the given function and one of its first derivative per iteration. The well-known Traub–Ostrowski’s fourth-order method is shown to be part of the family. Several numerical examples are given to illustrate the efficiency and performanc...

A general class of three-point iterative methods for solving nonlinear equations is constructed. Its order of convergence reaches eight with only four function evaluations per iteration, which means that the proposed methods possess as high as possible computational efficiency in the sense of the Kung-Traub hypothesis (1974). Numerical examples are included to demonstrate a spectacular converge...

In this paper, a new family of optimal eighth-order iterative methods are presented. The new family is developed by combining Traub-Ostrowski’s fourth-order method adding Newton’s method as a third step and using the forward divided difference and three real-valued functions in the third step to reduce the number of function evaluations. We employed several numerical comparisons to demonstrate ...

1 The authors thank the IDF School for Leadership Development and its consultants, and especially Miki Rosenstein, Eliav Zakai, and Sigal Shavit-Traub, for their collaboration in conducting this experiment. Taly Dvir acknowledges the financial support of the Maya Fisher-David Fund, The Josef Buchmann Fund, the Israel Foundation Trustees, and the Faculty of Management at Tel Aviv University. The...

We extend the average case analysis of numerical integration in the sense of Traub and Woźniakowski to homogeneous spaces. Various examples are described and the connections to minimal energy point sets are outlined. † These authors were supported by the Austrian Academy of Sciences ∗ This author is supported by the START-project Y96-MAT of the Austrian Science Fund ‡ This author is supported b...

The inversion of the Vandermonde matrix has received much attention for its role in the solution of some problems of numerical analysis and control theory. This work deals with the problem of getting an explicit formula for the generic element of the inverse. We derive two algorithms in O(n) and O(n) and compare them with the Parker–Traub and the Björck–Pereyra algorithms. 2005 Elsevier Inc. Al...

We develop n-point optimal derivative-free root finding methods of order 2n, based on the Hermite interpolation, by applying a first-order derivative transformation. Analysis of convergence confirms that the optimal order of convergence of the transformed methods is preserved, according to the conjecture of Kung and Traub. To check the effectiveness and reliability of the newly presented method...

The Journal of Physical Chemistry C is published by the American Chemical Society. 1155 Sixteenth Street N.W., Washington, DC 20036 Article Phosphine Functionalization of GaAs(111)A Surfaces Matthew C. Traub, Julie S. Biteen, David J. Michalak, Lauren J. Webb, Bruce S. Brunschwig, and Nathan S. Lewis J. Phys. Chem. C, 2008, 112 (47), 18467-18473 • Publication Date (Web): 01 November 2008 Downlo...