Some Classes of third and Fourth-order iterative methods for solving nonlinear equations

The object of the present work is to present the new classes of third-order and fourth-order iterative methods for solving nonlinear equations. Our third-order method includes methods of Weerakoon \cite{Weerakoon}, Homeier \cite{Homeier2}, Chun \cite{Chun} e.t.c. as particular cases. After that we make this third-order method to fourth-order (optimal) by using a single weight function rather than using two different weight functions in \cite{Soleymani}. Finally some examples are given to illustrate the performance of the our method by comparing with new existing third and fourth-order methods.Comment: arXiv admin note: substantial text overlap with arXiv:1307.733

SUSY QCD Corrections to Higgs-b Production : Is the \Delta_b Approximation Accurate?

The associated production of a Higgs boson with a b quark is a discovery channel for the lightest MSSM neutral Higgs boson. We consider the SUSY QCD contributions from squarks and gluinos and discuss the decoupling properties of these effects. A detailed comparison of our exact order(alpha_s) results with those of a widely used effective Lagrangian approach, the \Delta_b approximation, is presented. The \Delta_b approximation is shown to accurately reproduce the exact one-loop SQCD result to within a few percent over a wide range of parameter space.Comment: figures added, version to be published in Phys Rev

Some Class of Third- and Fourth-Order Iterative Methods for Solving Nonlinear Equations

The object of the present work is to give the new class of third- and fourth-order iterative methods for solving nonlinear equations. Our proposed third-order method includes methods of Weerakoon and Fernando (2000), Homeier (2005), and Chun and Kim (2010) as particular cases. The multivariate extension of some of these methods has been also deliberated. Finally, some numerical examples are given to illustrate the performances of our proposed methods by comparing them with some well existing third- and fourth-order methods. The efficiency of our proposed fourth-order method over some fourth-order methods is also confirmed by basins of attraction

Solving Nondifferentiable Nonlinear Equations by New Steffensen-Type Iterative Methods with Memory

It is attempted to present two derivative-free Steffensen-type methods with memory for solving nonlinear equations. By making use of a suitable self-accelerator parameter in the existing optimal fourth- and eighth-order without memory methods, the order of convergence has been increased without any extra function evaluation. Therefore, its efficiency index is also increased, which is the main contribution of this paper. The self-accelerator parameters are estimated using Newton’s interpolation. To show applicability of the proposed methods, some numerical illustrations are presented

Genotype × environment interaction for morphological and quality traits of wheat varieties under different nitrogen regimes in the foothills of Shivalik range of Himalayas

Variation among twelve winter wheat varieties with respect to N efficiency (NE) were assessed in field trial planned as per factorial experimental design (two years × three nitrogen doses × twelve genotypes) in which treatments were randomized in three replications under three nitrogen levels (control, 150, 250 kg/ha) for two successive years at N. E. Borlaug Crop Research Center, Pantnagar. Stability analysis of nitrogen efficiency contributing traits was performed using mean performance, linear regression and the deviation from regression. No single genotype performed well enough for all the traits under study. QLD 33, HD 2967 and QLD 39 were stable for root length showing good performance for nitrogen uptake. HD 3112 was most stable variety for most of the characters whereas, QLD 33 was found to perform best under higher levels of nitrogen fertilisation, thus, not efficient enough. But, QLD 33 showed delayed maturity which could be linked with an increase in grain yield thus, it could be said that functional stay green phenotypes should increase the grain filling period and boost yield

Microparticles in cancer: A review of recent developments and the potential for clinical application

© 2015 . Once thought of as inert remnants of cellular processes, the significance of membrane vesicles is now expanding as their capacity to package and transfer bioactive molecules during intercellular communication is established. This ability to serve as vectors in the trafficking of cellular cargo is of mounting interest in the context of cancer, particularly in the dissemination of deleterious cancer traits from donor cells to recipient cells. Although microparticles (MPs) contribute to the pathogenesis of cancer, their unique characteristics can also be exploited in the context of cancer management. The detection of MPs in body fluids has the potential to provide an effective means for the diagnosis, prognosis and surveillance of cancer patients. The use of these readily accessible systemic biomarkers has the potential to circumvent the need for invasive biopsy procedures. In addition, the autologous nature of MPs may allow them to be used as novel drug delivery carriers. Consequently, the modulation of MP vesiculation to treat disease, the detection of MPs in disease monitoring, and the application of MPs as therapeutic delivery vehicles present prospective clinical interventions in the treatment of cancer