Results 71 to 80 of about 11,230,834 (184)

Hybrid Newton-type method for a class of semismooth equations [PDF]

, 2002
In this paper, we present a hybrid method for the solution of a class of composite semismooth equations encountered frequently in applications. The method is obtained by combining a generalized finite-difference Newton method to an inexpensive direct ...
Pieraccini, Sandra
core   +1 more source

Optimal control of Newton-type problems of minimal resistance [PDF]

, 2006
We address Newton-type problems of minimal resistance from an optimal control perspective. It is proven that for Newton-type problems the Pontryagin maximum principle is a necessary and sufficient condition.
Plakhov, A.Yu., Torres, D.F.M.
core   +1 more source

A note on the Kantorovich theorem for Newton iteration [PDF]

, 1993
In this paper, a new theorem for the Newton method convergence is obtained. Its condition is different from that of the Kantorovich theorem and therefore it has theoretical and practical ...
Zhengda, Huang
core   +1 more source

High-precision newton-kantorovich method for nonlinear integral equations

CoRR
The paper considers the numerical solution of nonlinear integral equations using the Newton-Kantorovich method with the mpmath library. High-precision quadrature of the kernel K(t, s, u) with respect to the variable s for fixed t increases stability and accuracy in problems sensitive to rounding and dispersion.
Kirill A. Chertoganov, Valery I. Shipalov   +1 more
openaire   +3 more sources

Approximate solutionn of a nonllinear system of integral equations using modified Newton-Kantorovich method

, 2014
Modified Newton-Kantorovich method is developed to obtain an approximate solution for a system of nonlinear integral equations. The system of nonlinear integral equations is reduced to find the roots of nonlinear integral operator.
Z.K. Eshkuvatov, O. Shafiq, A. Akhmedov, N.M.A. Nik Long   +3 more
core   +1 more source

Newton's method under weak Kantorovich conditions [PDF]

, 2000
The classical Kantorovich theorem on Newton's method assumes that the derivative of the operator involved satisfies a Lipschitz condition ∥F′(x) - F′(y)∥ ≤ L∥x - y∥. In this paper we weaken this condition, assuming that ∥F′(x) - F′(x 0)∥ ≤ L∥x - x 0∥ for
Gutiérrez, J.M. [0000-0002-0434-7250], Hernández, M.A. [0000-0001-5478-2958]   +1 more
core   +1 more source

ADAPTED SOLUTION WITH NEWTON-KANTOROVICH METHOD FOR NONLINEAR VOLTERRA INTEGRAL EQUATIONS

, 2019
[[abstract]]Find an approximate solution is one of the most important problems in our days, in this paper we look for an approximate solution for Volterra nonlinear integral equation using a combination between Newton-Kantorovich method and adapted ...
KHIRANI AMINA, MOSTEFA NADIR
core  

Iterative methods for solving quadratic Volterra integral equations of the first kind

Известия высших учебных заведений. Поволжский регион: Физико-математические науки
Background. The paper is devoted to the numerical study of integral equations of the first kind with quadratic nonlinearity, which are part of the generalized Volterra integropower series and describe dynamical systems with one input and one output. Such
A.N. Tynda
doaj   +1 more source

New conditions for the convergence of newton-kantorovich method and some their applications

, 1992
The method of Newton-Kantorovich and its analogs are considered in the paper aiming at the establishment of convergence conditions and a priori estimations for approximations of Newton-Kantorovich under Wertgame's conditions. During the investigation the
Lysenko Julia Vladlenovna
core  

Efficient Discrete Optimal Transport Algorithm by Accelerated Gradient Descent. [PDF]

Proc AAAI Conf Artif Intell, 2022
An D, Lei N, Xu X, Gu X.
europepmc   +1 more source