A possible starting point in judging the merits of the book would be the idea that it is a drop
in an ocean of intensive and extensive research work. Consequently, our aim was to …

The Gauss–Newton algorithm is an iterative method regularly used for solving nonlinear
least squares problems. It is particularly well suited to the treatment of very large scale …

This book introduces advanced numerical-functional analysis to beginning computer
science researchers. The reader is assumed to have had basic courses in numerical …

A classical model of Newton iterations which takes into account some error terms is given by
the quasi-Newton method, which assumes perturbed Jacobians at each step. Its high …

The behavior of the processes taking place in furnaces determines the efficiency of fuel
chemical energy utilization, the quality of the final products and the environmental safety of …

The high speed of x_k→x^∗∈\mathbbR is usually measured using the C-, Q-, or R-orders:
\lim|x^∗-x_k+1||x^∗-x_k|^p_0∈(0,+∞),\qquad\lim\ln|x^∗-x_k+1|\ln|x^∗-x_k|=q_0,\qquador …

Twenty years after the classical book of Ortega and Rheinboldt was published, five
definitions for the Q-convergence orders of sequences were independently and rigorously …

Given a nonlinear mapping G differentiable at a fixed point x∗, the Ostrowski theorem offers
the sharp sufficient condition for x∗ to be an attraction point, where ρ denotes the spectral …

In a previous paper of us, we have shown that no q-superlinear convergence to a fixed
point\(x^\ast\) of a nonlinear mapping\(G\) may be attained by the successive approximations …

Представлено дальнейшее усовершенствование метода сплайн-аппроксимаций,
опубликованного в работе [1]. Для исключения ранее принятых допущений при выводе …