In this paper, we present a new parametric family of three-step iterative for solving nonlinear equations. First, design fourth-order triparametric that, by holding only one its parameters, get to accelerate convergence and finally obtain sixth-order uniparametric family. With last family, study convergence, complex dynamics (stability), numerical behavior. The parameter spaces dynamical planes...

This manuscript is focused on a new parametric class of multi-step iterative procedures to find the solutions systems nonlinear equations. Starting from Ostrowski’s scheme, constructed by adding Newton step with Jacobian matrix taken previous and employing divided difference operator, resulting in triparametric scheme convergence order four. The family can be accelerated six setting two paramet...

The best bounds of the form $B(\alpha,\beta,\gamma,x)=(\alpha+\sqrt{\beta^2+\gamma^2 x^2})/x$ for ratios modified Bessel functions are characterized: if $\alpha$, $\beta$ and $\gamma$ chosen in such a way that $B(\alpha,\beta,\gamma,x)$ is sharp approximation $\Phi_{\nu}(x)=I_{\nu-1} (x)/I_{\nu}(x)$ as $x\rightarrow 0^+$ (respectively +\infty$) graphs $\Phi_{\nu}(x)$ tangent at some $x=x_*>0$, ...

Flow injection analysis (FIA) methods for the spectrophotometric determination of CO2 and SO2 in wines are described. The determination of CO2 is based on the colour change of a low capacity buffer (containing an acid-base indicator) due to the dissolved carbon dioxide. The determination of SO2 is based on the decoloration of malachite green by sulphur dioxide. Two FIA manifolds are presented; ...

The silhouette of a black hole having critical curve (an unstable bound photon orbit) when illuminated by an optically thin accretion disk whose emission is confined to the equatorial plane shows distinctive central brightness depression (the shadow) outer edge consists series strongly lensed, self-similar rings superimposed with disk's direct emission. While size and shape depend only on backg...

BACKGROUND Network meta-analysis methods extend the standard pair-wise framework to allow simultaneous comparison of multiple interventions in a single statistical model. Despite published work on network meta-analysis mainly focussing on the synthesis of aggregate data, methods have been developed that allow the use of individual patient-level data specifically when outcomes are dichotomous or...

In this article we obtain a fundamental measure functional for the model of aligned hard hexagons in the plane. Our aim is not just to provide a functional for an admittedly academic model, but to investigate the structure of fundamental measure theory. A model of aligned hard hexagons has similarities with the hard disk model. Both share "lost cases," i.e. admit configurations of three particl...

This paper investigates the asymptotic uniform power allocation capacity of frequency nonselective multiple-input multiple-output channels with fading correlation at either the transmitter or the receiver. We consider the asymptotic situation, where the number of inputs and outputs increase without bound at the same rate. A simple uniparametric model for the fading correlation function is propo...