FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1791615232> ?p ?o ?g. }

• W1791615232 endingPage "715" @default.
• W1791615232 startingPage "701" @default.
• W1791615232 abstract "A dynamical approach on the dynamics of iterative methods with memory for solving nonlinear equations is made. We have designed new methods with memory from Steffensen’ or Traub’s schemes, as well as from a parametric family of iterative procedures of third- and fourth-order of convergence. We study the local order of convergence of the new iterative methods with memory. We define each iterative method with memory as a discrete dynamical system and we analyze the stability of the fixed points of its rational operator associated on quadratic polynomials. As far as we know, there is no dynamical study on iterative methods with memory and the techniques of complex dynamics used in schemes without memory are not useful in this context. So, we adapt real multidimensional dynamical tools to afford this task. The dynamical behavior of Secant method and the versions of Steffensen’ and Traub’s schemes with memory, applied on quadratic polynomials, are analyzed. Different kinds of behavior occur, being in general very stable but pathologic cases as attracting strange fixed points are also found. Finally, a modified parametric family of order four, applied on quadratic polynomials, is also studied, showing the bifurcations diagrams and the appearance of chaos." @default.
• W1791615232 created "2016-06-24" @default.
• W1791615232 creator A5038986038 @default.
• W1791615232 creator A5049721976 @default.
• W1791615232 creator A5051930849 @default.
• W1791615232 creator A5085887256 @default.
• W1791615232 date "2015-11-01" @default.
• W1791615232 modified "2023-10-14" @default.
• W1791615232 title "A multidimensional dynamical approach to iterative methods with memory" @default.
• W1791615232 cites W1970127290 @default.
• W1791615232 cites W1971939073 @default.
• W1791615232 cites W1985316845 @default.
• W1791615232 cites W2008808290 @default.
• W1791615232 cites W2010940047 @default.
• W1791615232 cites W2024423464 @default.
• W1791615232 cites W2031937054 @default.
• W1791615232 cites W2039193815 @default.
• W1791615232 cites W2040816060 @default.
• W1791615232 cites W2043570811 @default.
• W1791615232 cites W2047475327 @default.
• W1791615232 cites W2057809410 @default.
• W1791615232 cites W2080365762 @default.
• W1791615232 cites W2082044882 @default.
• W1791615232 cites W2086281390 @default.
• W1791615232 cites W2091326168 @default.
• W1791615232 cites W2160304330 @default.
• W1791615232 cites W2043360208 @default.
• W1791615232 doi "https://doi.org/10.1016/j.amc.2015.09.056" @default.
• W1791615232 hasPublicationYear "2015" @default.
• W1791615232 type Work @default.
• W1791615232 sameAs 1791615232 @default.
• W1791615232 citedByCount "16" @default.
• W1791615232 countsByYear W17916152322017 @default.
• W1791615232 countsByYear W17916152322018 @default.
• W1791615232 countsByYear W17916152322019 @default.
• W1791615232 countsByYear W17916152322020 @default.
• W1791615232 countsByYear W17916152322021 @default.
• W1791615232 countsByYear W17916152322022 @default.
• W1791615232 countsByYear W17916152322023 @default.
• W1791615232 crossrefType "journal-article" @default.
• W1791615232 hasAuthorship W1791615232A5038986038 @default.
• W1791615232 hasAuthorship W1791615232A5049721976 @default.
• W1791615232 hasAuthorship W1791615232A5051930849 @default.
• W1791615232 hasAuthorship W1791615232A5085887256 @default.
• W1791615232 hasBestOaLocation W17916152322 @default.
• W1791615232 hasConcept C105795698 @default.
• W1791615232 hasConcept C11413529 @default.
• W1791615232 hasConcept C117251300 @default.
• W1791615232 hasConcept C117898588 @default.
• W1791615232 hasConcept C121332964 @default.
• W1791615232 hasConcept C129844170 @default.
• W1791615232 hasConcept C134306372 @default.
• W1791615232 hasConcept C151730666 @default.
• W1791615232 hasConcept C159694833 @default.
• W1791615232 hasConcept C162324750 @default.
• W1791615232 hasConcept C2524010 @default.
• W1791615232 hasConcept C2777303404 @default.
• W1791615232 hasConcept C2779343474 @default.
• W1791615232 hasConcept C28826006 @default.
• W1791615232 hasConcept C33923547 @default.
• W1791615232 hasConcept C41008148 @default.
• W1791615232 hasConcept C50522688 @default.
• W1791615232 hasConcept C61445026 @default.
• W1791615232 hasConcept C62520636 @default.
• W1791615232 hasConcept C79379906 @default.
• W1791615232 hasConcept C86803240 @default.
• W1791615232 hasConceptScore W1791615232C105795698 @default.
• W1791615232 hasConceptScore W1791615232C11413529 @default.
• W1791615232 hasConceptScore W1791615232C117251300 @default.
• W1791615232 hasConceptScore W1791615232C117898588 @default.
• W1791615232 hasConceptScore W1791615232C121332964 @default.
• W1791615232 hasConceptScore W1791615232C129844170 @default.
• W1791615232 hasConceptScore W1791615232C134306372 @default.
• W1791615232 hasConceptScore W1791615232C151730666 @default.
• W1791615232 hasConceptScore W1791615232C159694833 @default.
• W1791615232 hasConceptScore W1791615232C162324750 @default.
• W1791615232 hasConceptScore W1791615232C2524010 @default.
• W1791615232 hasConceptScore W1791615232C2777303404 @default.
• W1791615232 hasConceptScore W1791615232C2779343474 @default.
• W1791615232 hasConceptScore W1791615232C28826006 @default.
• W1791615232 hasConceptScore W1791615232C33923547 @default.
• W1791615232 hasConceptScore W1791615232C41008148 @default.
• W1791615232 hasConceptScore W1791615232C50522688 @default.
• W1791615232 hasConceptScore W1791615232C61445026 @default.
• W1791615232 hasConceptScore W1791615232C62520636 @default.
• W1791615232 hasConceptScore W1791615232C79379906 @default.
• W1791615232 hasConceptScore W1791615232C86803240 @default.
• W1791615232 hasLocation W17916152321 @default.
• W1791615232 hasLocation W17916152322 @default.
• W1791615232 hasLocation W17916152323 @default.
• W1791615232 hasOpenAccess W1791615232 @default.
• W1791615232 hasPrimaryLocation W17916152321 @default.
• W1791615232 hasRelatedWork W1973822606 @default.
• W1791615232 hasRelatedWork W2047030855 @default.
• W1791615232 hasRelatedWork W2055757250 @default.
• W1791615232 hasRelatedWork W2371730979 @default.
• W1791615232 hasRelatedWork W2808820944 @default.
• W1791615232 hasRelatedWork W2907692489 @default.

• next