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The Resource Advances in Iterative Methods for Nonlinear Equations, edited by Sergio Amat, Sonia Busquier, (electronic resource)
Advances in Iterative Methods for Nonlinear Equations, edited by Sergio Amat, Sonia Busquier, (electronic resource)
Resource Information
The item Advances in Iterative Methods for Nonlinear Equations, edited by Sergio Amat, Sonia Busquier, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Advances in Iterative Methods for Nonlinear Equations, edited by Sergio Amat, Sonia Busquier, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 This 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.
 Language
 eng
 Extent
 V, 286 p. 117 illus., 113 illus. in color.
 Contents

 1 S. Amat, S. Busquier, A. A. Magrenan and L. Orcos: An overview on Steffensentype 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. HernandezVeron: 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. HernandezVeron and N. Romero: A qualitative analysis of a family of Newtonlike iterative process with Rorder 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 ncycles for the relaxed Newton's method
 9 Miquel GrauSanchez and Miquel Noguera: On convergence and efficiency in the resolution of systems of nonlinear equations from a local analysis
 Isbn
 9783319392288
 Label
 Advances in Iterative Methods for Nonlinear Equations
 Title
 Advances in Iterative Methods for Nonlinear Equations
 Statement of responsibility
 edited by Sergio Amat, Sonia Busquier
 Subject

 Numerical Analysis
 Functional analysis
 Dynamics
 Computer science  Mathematics
 Functional equations
 Electronic resources
 Functional Analysis
 Numerical analysis
 Algorithms
 Mathematics
 Difference and Functional Equations
 Difference equations
 Dynamical Systems and Ergodic Theory
 Computational Science and Engineering
 Ergodic theory
 Language
 eng
 Summary
 This 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.
 Image bit depth
 0
 LC call number
 QA297299.4
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Amat, Sergio.
 Busquier, Sonia.
 SpringerLink
 Series statement
 SEMA SIMAI Springer Series,
 Series volume
 10
 http://library.link/vocab/subjectName

 Mathematics
 Difference equations
 Functional equations
 Dynamics
 Ergodic theory
 Functional analysis
 Algorithms
 Computer science
 Numerical analysis
 Mathematics
 Numerical Analysis
 Dynamical Systems and Ergodic Theory
 Functional Analysis
 Difference and Functional Equations
 Computational Science and Engineering
 Algorithms
 Label
 Advances in Iterative Methods for Nonlinear Equations, edited by Sergio Amat, Sonia Busquier, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 1 S. Amat, S. Busquier, A. A. Magrenan and L. Orcos: An overview on Steffensentype 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. HernandezVeron: 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. HernandezVeron and N. Romero: A qualitative analysis of a family of Newtonlike iterative process with Rorder 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 ncycles for the relaxed Newton's method  9 Miquel GrauSanchez and Miquel Noguera: On convergence and efficiency in the resolution of systems of nonlinear equations from a local analysis
 Dimensions
 unknown
 Extent
 V, 286 p. 117 illus., 113 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319392288
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319392288
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319392288
 Label
 Advances in Iterative Methods for Nonlinear Equations, edited by Sergio Amat, Sonia Busquier, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 1 S. Amat, S. Busquier, A. A. Magrenan and L. Orcos: An overview on Steffensentype 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. HernandezVeron: 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. HernandezVeron and N. Romero: A qualitative analysis of a family of Newtonlike iterative process with Rorder 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 ncycles for the relaxed Newton's method  9 Miquel GrauSanchez and Miquel Noguera: On convergence and efficiency in the resolution of systems of nonlinear equations from a local analysis
 Dimensions
 unknown
 Extent
 V, 286 p. 117 illus., 113 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319392288
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319392288
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319392288
Subject
 Algorithms
 Computational Science and Engineering
 Computer science  Mathematics
 Difference and Functional Equations
 Difference equations
 Dynamical Systems and Ergodic Theory
 Dynamics
 Electronic resources
 Ergodic theory
 Functional Analysis
 Functional analysis
 Functional equations
 Mathematics
 Numerical Analysis
 Numerical analysis
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/AdvancesinIterativeMethodsforNonlinear/GWmhyf7TV0/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/AdvancesinIterativeMethodsforNonlinear/GWmhyf7TV0/">Advances in Iterative Methods for Nonlinear Equations, edited by Sergio Amat, Sonia Busquier, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>