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101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aAdvances in iterative methods for nonlinear equations /$fedited by Sergio Amat, Sonia Busquier
205   $a1st ed. 2016.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016.
215   $a1 online resource (V, 286 p. 117 illus., 113 illus. in color.)
225 1 $aSEMA SIMAI Springer Series,$x2199-3041 ;$v10
311   $a3-319-39227-1 
320   $aIncludes bibliographical references at the end of each chapters.
327   $a1 S. Amat, S. Busquier, A. A. Magrenan and L. Orcos: An overview on Steffensen-type methods -- 2 Ioannis K. Argyros and Daniel Gonzalez: Newton?s Method for Convex Optimization -- 3 I. K. Argyros and Á. A. Magreñán: Inexact Newton methods on Riemannian Manifolds -- 4 Alicia Cordero and Juan R. Torregrosa: On the design of optimal iterative methods for solving nonlinear equations -- 5 J. A. Ezquerro and M. A. Hernandez-Veron: The theory of Kantorovich for Newton's method: conditions on the second derivative -- 6 J.-C. Yakoubsohn, J. M. Gutiérrez and Á. A. Magreñán: Complexity of an homotopy method at the neighbourhood of a zero -- 7 M. A. Hernandez-Veron and N. Romero: A qualitative analysis of a family of Newton-like iterative process with R-order of convergence at least three -- 8 J. M. Gutierrez, L. J. Hernandez, Á. A. Magreñán and M. T. Rivas: Measures of the basins of attracting n-cycles for the relaxed Newton's method -- 9 Miquel Grau-Sanchez and Miquel Noguera: On convergence and efficiency in the resolution of systems of nonlinear equations from a local analysis.
330   $aThis book focuses on the approximation of nonlinear equations using iterative methods. Nine contributions are presented on the construction and analysis of these methods, the coverage encompassing convergence, efficiency, robustness, dynamics, and applications. Many problems are stated in the form of nonlinear equations, using mathematical modeling. In particular, a wide range of problems in Applied Mathematics and in Engineering can be solved by finding the solutions to these equations. The book reveals the importance of studying convergence aspects in iterative methods and shows that selection of the most efficient and robust iterative method for a given problem is crucial to guaranteeing a good approximation. A number of sample criteria for selecting the optimal method are presented, including those regarding the order of convergence, the computational cost, and the stability, including the dynamics. This book will appeal to researchers whose field of interest is related to nonlinear problems and equations, and their approximation. .
410  0$aSEMA SIMAI Springer Series,$x2199-3041 ;$v10
606   $aNumerical analysis
606   $aDynamics
606   $aErgodic theory
606   $aFunctional analysis
606   $aDifference equations
606   $aFunctional equations
606   $aComputer mathematics
606   $aAlgorithms
606   $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050
606   $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
606   $aDifference and Functional Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12031
606   $aComputational Science and Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/M14026
606   $aAlgorithms$3https://scigraph.springernature.com/ontologies/product-market-codes/M14018
615  0$aNumerical analysis.
615  0$aDynamics.
615  0$aErgodic theory.
615  0$aFunctional analysis.
615  0$aDifference equations.
615  0$aFunctional equations.
615  0$aComputer mathematics.
615  0$aAlgorithms.
615 14$aNumerical Analysis.
615 24$aDynamical Systems and Ergodic Theory.
615 24$aFunctional Analysis.
615 24$aDifference and Functional Equations.
615 24$aComputational Science and Engineering.
615 24$aAlgorithms.
676   $a518.26
702   $aAmat$b Sergio$4edt$4http://id.loc.gov/vocabulary/relators/edt
702   $aBusquier$b Sonia$4edt$4http://id.loc.gov/vocabulary/relators/edt
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910254087503321
996   $aAdvances in iterative methods for nonlinear equations$91523079
997   $aUNINA