ON A CLASS OF EFFICIENT HIGHER ORDER NEWTON-LIKE METHODS

New quasi-Newton methods via higher order tensor models

Many researches attempt to improve the efficiency of the usual quasi-Newton (QN) methods by accelerating the performance of the algorithm without causing more storage demand. They aim to employ more available information from the function values and gradient to approximate the curvature of the objective function. In this paper we derive a new QN method of this type using a fourth order tensor m...

On developing a higher-order family of double-Newton methods with a bivariate weighting function

Keywords: Sixth-order convergence Extraneous fixed point Asymptotic error constant Efficiency index Double-Newton method Basin of attraction a b s t r a c t A high-order family of two-point methods costing two derivatives and two functions are developed by introducing a two-variable weighting function in the second step of the classical double-Newton method. Their theoretical and computational ...

A New Class of Spatial Covariance Functions Generated by Higher-order Kernels

Covariance functions and variograms play a fundamental role in exploratory analysis and statistical modelling of spatial and spatio-temporal datasets. In this paper, we construct a new class of spatial covariance functions using the Fourier transform of some higher-order kernels. Moreover, we extend this class of spatial covariance functions to the spatio-temporal setting using the idea used in...

Higher Order Bernoulli Polynomials and Newton Polygons

reflections on taught courses of the iranian ma program in english translation: a mixed-methods study

the issue of curriculum and syllabus evaluation and revision has been in center of attention right from when curriculum came into attention of educational institutions. thus everywhere in the world in educational institutions curricula and syllabi are evaluated and revised based on the goals, the needs, existing content, etc.. in iran any curriculum is designed in a committee of specialists and...