The problem is to calculate a simple zero of a non-linear function f. We consider rational iterations without memory which use two evaluations of f or its derivatives. It is shown that the optimal order is 2. This settles a conjecture of Kung and Traub that an iteration using n evaluations without memory is of order at most 2 "^, for the case n = 2. Furthermore we show that any rational two-eva...

We examined external parasites of Neotoma magister (Allegheny Woodrat) from the Royal Blue Wildlife Management Area in the Cumberland Mountains and Big South Fork National River and Recreation Area on the Cumberland Plateau of Tennessee from November 2003 to August 2005. Typically associated with rocky habitats such as clifflines and cave entrances, the Allegheny Woodrat is considered a species...

Fluoropyruvate has been shown to interact with thiol compounds (Avi-Dor & Mager, 1956a; Peters & Hall, 1957). Its inhibitory action on the respiration of mitochondria (Avi-Dor & Mager, 1956b; Chari-Bitron & Avi-Dor, 1958) and of tissue celLs (Traub & Ginzburg, 1959) is presumably due to combination with thiol groups. We have observed that, during an incubation of the product formed between glut...

A class of three-step eighth-order root solvers is constructed in this study. Our aim is fulfilled by using an interpolatory rational function in the third step of a three-step cycle. Each method of the class reaches the optimal efficiency index according to the Kung-Traub conjecture concerning multipoint iterative methods without memory. Moreover, the class is free from derivative calculation ...

Vesicular stomatitis is usually a mild, self-limiting disease in the horse, characterized by oral vesicles, ulcers or crusting of the muzzle, and difficulty eating. Horses are commonly subclinically affected during outbreaks. The exposure of horses to vesicular stomatitis virus may occur in nonoutbreak years in areas where vesicular stomatitis is common. Authors’ addresses: Dept. of Clinical Sc...

Fragments of vimentin, generated by chemical or enzymatic cleavages, were analyzed for their capacity to bind to human inverted erythrocyte membrane vesicles. Only peptides comprising the amino-terminal head domain of vimentin molecules were competent in associating with the membranes. In vitro studies also demonstrated that isolated ankyrin (the major vimentin acceptor site on the membrane) bi...

This annual prize is for outstanding achievement in information-based complexity. It consists of $3000 and a plaque and will be awarded at a suitable location. The prize committee will consist of Leszek Plaskota, University of Warsaw; Klaus Ritter, TU Darmstadt; Ian Sloan, University of New South Wales; Joseph F. Traub, Columbia University; and Henryk Woźniakowski, Columbia University and Unive...

Construction of iterative processes without memory, which are both optimal according to the Kung-Traub hypothesis and derivative-free, is considered in this paper. For this reason, techniques with four and five function evaluations per iteration, which reach to the optimal orders eight and sixteen, respectively, are discussed theoretically. These schemes can be viewed as the generalizations of ...