HAJIME TAKESHITA, TOMOKAZU YOSHIZAKI, WILLIAM E. MILLER, HIROSHI SATO, MITSURU FURUKAWA, JOSEPH S. PAGANO, AND NANCY RAAB-TRAUB* Lineberger Comprehensive Cancer Center, Department of Microbiology and Immunology, and Department of Medicine, University of North Carolina School of Medicine, Chapel Hill, North Carolina 27599, and Department of Otolaryngology, School of Medicine, and Department of M...

In this research article, we present sixteenth-order iterative method for solving nonlinear equations. The Iterative method has optimal order of convergence sixteen in the sense of Kung-Traub conjecture [1], It means iterative scheme uses five function evaluations to achieve 16(= 25−1) order of convergence. The proposed iterative method utilize one derivative evaluation and weight functions. Nu...

in this paper, we present a fourth order method for computing simple roots of nonlinear equations by using suitable taylor and weight function approximation. the method is based on weerakoon-fernando method [s. weerakoon, g.i. fernando, a variant of newton's method with third-order convergence, appl. math. lett. 17 (2000) 87-93]. the method is optimal, as it needs three evaluations per ite...

Keywords: Newton's method Multiple roots Iterative methods Nonlinear equations Order of convergence Root-finding a b s t r a c t In this paper, we present a new third-order modification of Newton's method for multiple roots, which is based on existing third-order multiple root-finding methods. Numerical examples show that the new method is competitive to other methods for multiple roots. Solvin...

This is an article that will appear in the Encyclopedia of Optimization (Kluwer, 2000). It concerns optimization in two senses. The first is that informaion-based complexity (IBC) is the study of the minimal computational resources to solve continuous mathematical problems. The second is that the computational complexity of optimization problems is one of the areas studied in IBC. We discuss IB...

The importance and mechanisms of dispersal have long been subjects of evolutionary and ecological research (e.g. Bilton et al., 2001; Bohonak & Jenkins, 2003). The often reported mismatch between potential (i.e. assumed or predicted dispersal ability based on traits) for widespread dispersal and realized (i.e. empirical) patterns of geographically restricted dispersal and gene flow by stream in...

Recent evidence suggests that electrical coupling plays a role in generating oscillatory behaviour in networks of neurons; however, the underlying mechanisms have not been identified. Using a cellular automata model proposed by Traub et al (Traub R D, Schmitz D, Jefferys J G and Draguhn A 1999 High-frequency population oscillations are predicted to occur in hippocampal pyramidal neural networks...

Abstract Many multipoint iterative methods without memory for solving non-linear equations in one variable are found the literature. In particular, there that provide fourth-order, eighth-order or sixteenth-order convergence using only, respectively, three, four five function evaluations per iteration step, thus supporting Kung-Traub conjecture on optimal order of convergence. This paper shows ...

Lymphocytic choriomeningitis virus (LCMV) is a rare cause of central nervous system disease in humans. Screening by real-time RT-PCR assay is of interest in the case of aseptic meningitis of unknown etiology. A specific LCMV real-time RT-PCR assay, based on the detection of genomic sequences of the viral nucleoprotein (NP), was developed to assess the presence of LCMV in cerebrospinal fluids (C...