NEWTON'S METHOD FOR SOLVING INCLUSIONS USING SET-VALUED APPROXIMATIONS

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F15%3A43924437" target="_blank" >RIV/49777513:23520/15:43924437 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1137/130926730" target="_blank" >http://dx.doi.org/10.1137/130926730</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1137/130926730" target="_blank" >10.1137/130926730</a>

Result language

angličtina

Original language name

NEWTON'S METHOD FOR SOLVING INCLUSIONS USING SET-VALUED APPROXIMATIONS

Original language description

Results on stability of both local and global metric regularity under set-valued perturbations are presented. As an application, we study (super)linear convergence of a Newtontype iterative process for solving generalized equations. We investigate several iterative schemes such as the inexact Newton's method, the nonsmooth Newton's method for semismooth functions, the inexact proximal point algorithm, etc. Moreover, we also cover a forward-backward splitting algorithm for finding a zero of the sum of two multivalued (not necessarily monotone) operators. Finally, a globalization of the Newton's method is discussed.

Czech name

—

Czech description

—

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

—

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2015

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

SIAM JOURNAL ON OPTIMIZATION

ISSN

1052-6234

e-ISSN

—

Volume of the periodical

25

Issue of the periodical within the volume

1

Country of publishing house

US - UNITED STATES

Number of pages

26

Pages from-to

159-184

UT code for WoS article

—

EID of the result in the Scopus database

—