Matches in SemOpenAlex for { <https://semopenalex.org/work/W2797799273> ?p ?o ?g. }
- W2797799273 endingPage "1850120" @default.
- W2797799273 startingPage "1850120" @default.
- W2797799273 abstract "In this paper, we study a local convergence analysis of a family of iterative methods with sixth and seventh order convergence for nonlinear equations, which was established by [Cordero et al. [2010] in “A family of iterative methods with sixth and seventh order convergence for nonlinear equations,” Math. Comput. Model. 52, 1190–1496]. Earlier studies have shown convergence using Taylor expansions and hypotheses reaching up to the sixth derivative. In our work, we make an attempt to study and establish a local convergence theorem by using only hypotheses the first derivative of the function and Lipschitz constants. We can also obtain error bounds and radii of convergence based on our results. Hence, the applicability of the methods is expanded. Moreover, we consider some different numerical examples and obtain the radii of convergence centered at the solution for different parameter values [Formula: see text] of the family. Furthermore, the basins of attraction of the family with different parameter values are also studied, which allow us to distinguish between the good and bad members of the family in terms of convergence and stable properties, and help us find the members with better or the best stable behavior." @default.
- W2797799273 created "2018-04-24" @default.
- W2797799273 creator A5037556456 @default.
- W2797799273 creator A5038769709 @default.
- W2797799273 creator A5056576946 @default.
- W2797799273 date "2019-08-29" @default.
- W2797799273 modified "2023-10-15" @default.
- W2797799273 title "Local Convergence of a Family of Iterative Methods with Sixth and Seventh Order Convergence Under Weak Conditions" @default.
- W2797799273 cites W1490101027 @default.
- W2797799273 cites W1680628872 @default.
- W2797799273 cites W1895746501 @default.
- W2797799273 cites W1971201974 @default.
- W2797799273 cites W1978739311 @default.
- W2797799273 cites W1989881026 @default.
- W2797799273 cites W1992976460 @default.
- W2797799273 cites W2000419588 @default.
- W2797799273 cites W2000983782 @default.
- W2797799273 cites W2001934194 @default.
- W2797799273 cites W2006869483 @default.
- W2797799273 cites W2025716285 @default.
- W2797799273 cites W2027649354 @default.
- W2797799273 cites W2039753149 @default.
- W2797799273 cites W2040941802 @default.
- W2797799273 cites W2042270758 @default.
- W2797799273 cites W2051457659 @default.
- W2797799273 cites W2053918813 @default.
- W2797799273 cites W2068381736 @default.
- W2797799273 cites W2070095106 @default.
- W2797799273 cites W2071146872 @default.
- W2797799273 cites W2072386919 @default.
- W2797799273 cites W2112438099 @default.
- W2797799273 cites W2114355749 @default.
- W2797799273 cites W2171730346 @default.
- W2797799273 cites W2249088019 @default.
- W2797799273 cites W2253419173 @default.
- W2797799273 cites W2253819748 @default.
- W2797799273 cites W2333931590 @default.
- W2797799273 cites W2525583675 @default.
- W2797799273 cites W2594673490 @default.
- W2797799273 cites W2622728189 @default.
- W2797799273 cites W2996250151 @default.
- W2797799273 cites W4233832035 @default.
- W2797799273 doi "https://doi.org/10.1142/s0219876218501207" @default.
- W2797799273 hasPublicationYear "2019" @default.
- W2797799273 type Work @default.
- W2797799273 sameAs 2797799273 @default.
- W2797799273 citedByCount "6" @default.
- W2797799273 countsByYear W27977992732020 @default.
- W2797799273 countsByYear W27977992732022 @default.
- W2797799273 crossrefType "journal-article" @default.
- W2797799273 hasAuthorship W2797799273A5037556456 @default.
- W2797799273 hasAuthorship W2797799273A5038769709 @default.
- W2797799273 hasAuthorship W2797799273A5056576946 @default.
- W2797799273 hasConcept C10138342 @default.
- W2797799273 hasConcept C117898588 @default.
- W2797799273 hasConcept C121332964 @default.
- W2797799273 hasConcept C126255220 @default.
- W2797799273 hasConcept C127162648 @default.
- W2797799273 hasConcept C134306372 @default.
- W2797799273 hasConcept C14036430 @default.
- W2797799273 hasConcept C14928880 @default.
- W2797799273 hasConcept C155568369 @default.
- W2797799273 hasConcept C158622935 @default.
- W2797799273 hasConcept C159694833 @default.
- W2797799273 hasConcept C162324750 @default.
- W2797799273 hasConcept C174265945 @default.
- W2797799273 hasConcept C182306322 @default.
- W2797799273 hasConcept C202444582 @default.
- W2797799273 hasConcept C22324862 @default.
- W2797799273 hasConcept C2777303404 @default.
- W2797799273 hasConcept C28826006 @default.
- W2797799273 hasConcept C31258907 @default.
- W2797799273 hasConcept C33923547 @default.
- W2797799273 hasConcept C41008148 @default.
- W2797799273 hasConcept C47776270 @default.
- W2797799273 hasConcept C48216909 @default.
- W2797799273 hasConcept C50522688 @default.
- W2797799273 hasConcept C538505008 @default.
- W2797799273 hasConcept C57869625 @default.
- W2797799273 hasConcept C5871375 @default.
- W2797799273 hasConcept C62520636 @default.
- W2797799273 hasConcept C73905626 @default.
- W2797799273 hasConcept C78458016 @default.
- W2797799273 hasConcept C81332173 @default.
- W2797799273 hasConcept C86803240 @default.
- W2797799273 hasConceptScore W2797799273C10138342 @default.
- W2797799273 hasConceptScore W2797799273C117898588 @default.
- W2797799273 hasConceptScore W2797799273C121332964 @default.
- W2797799273 hasConceptScore W2797799273C126255220 @default.
- W2797799273 hasConceptScore W2797799273C127162648 @default.
- W2797799273 hasConceptScore W2797799273C134306372 @default.
- W2797799273 hasConceptScore W2797799273C14036430 @default.
- W2797799273 hasConceptScore W2797799273C14928880 @default.
- W2797799273 hasConceptScore W2797799273C155568369 @default.
- W2797799273 hasConceptScore W2797799273C158622935 @default.
- W2797799273 hasConceptScore W2797799273C159694833 @default.
- W2797799273 hasConceptScore W2797799273C162324750 @default.
- W2797799273 hasConceptScore W2797799273C174265945 @default.