Semilocal Convergence Theorem for the Inverse-Free Jarratt Method under New Hölder Conditions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F15%3APU114502" target="_blank" >RIV/00216305:26220/15:PU114502 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1155/2015/346571" target="_blank" >http://dx.doi.org/10.1155/2015/346571</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1155/2015/346571" target="_blank" >10.1155/2015/346571</a>
Alternative languages
Result language
angličtina
Original language name
Semilocal Convergence Theorem for the Inverse-Free Jarratt Method under New Hölder Conditions
Original language description
Under the new Hölder conditions, we consider the convergence analysis of the inverse-free Jarratt method in Banach space which is used to solve the nonlinear operator equation. We establish a new semilocal convergence theorem for the inverse-free Jarratt method and present an error estimate. Finally, three examples are provided to show the application of the theorem.
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
The Scientific World Journal
ISSN
1537-744X
e-ISSN
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Volume of the periodical
2015
Issue of the periodical within the volume
ID 346571
Country of publishing house
US - UNITED STATES
Number of pages
9
Pages from-to
1-9
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-84926622447