Coverart for item
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)

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
Creator
Contributor
Editor
Subject
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.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Amat, Sergio
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Busquier, Sonia
Series statement
  • Springer eBooks
  • SEMA SIMAI Springer Series,
Series volume
10
http://library.link/vocab/subjectName
  • Mathematics
  • Difference equations
  • Functional equations
  • Dynamics
  • Ergodic theory
  • Functional analysis
  • Algorithms
  • Computer mathematics
  • Numerical analysis
Label
Advances in Iterative Methods for Nonlinear Equations, edited by Sergio Amat, Sonia Busquier, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-39228-8
Instantiates
Publication
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 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
Control code
978-3-319-39228-8
Dimensions
unknown
Extent
1 online resource (V, 286 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319392288
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-39228-8
Other physical details
117 illustrations, 113 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)959618095
Label
Advances in Iterative Methods for Nonlinear Equations, edited by Sergio Amat, Sonia Busquier, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-39228-8
Publication
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 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
Control code
978-3-319-39228-8
Dimensions
unknown
Extent
1 online resource (V, 286 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319392288
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-39228-8
Other physical details
117 illustrations, 113 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)959618095

Library Locations

    • Badia FiesolanaBorrow it
      Via dei Roccettini 9, San Domenico di Fiesole, 50014, IT
      43.803074 11.283055
Processing Feedback ...