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
Contributor
Editor
Provider
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
Image bit depth
0
LC call number
QA297-299.4
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)
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
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
10.1007/978-3-319-39228-8
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-39228-8
Label
Advances in Iterative Methods for Nonlinear Equations, edited by Sergio Amat, Sonia Busquier, (electronic resource)
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
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
10.1007/978-3-319-39228-8
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-39228-8

Library Locations

  • African Studies LibraryBorrow it
    771 Commonwealth Avenue, 6th Floor, Boston, MA, 02215, US
    42.350723 -71.108227
  • Alumni Medical LibraryBorrow it
    72 East Concord Street, Boston, MA, 02118, US
    42.336388 -71.072393
  • Astronomy LibraryBorrow it
    725 Commonwealth Avenue, 6th Floor, Boston, MA, 02445, US
    42.350259 -71.105717
  • Fineman and Pappas Law LibrariesBorrow it
    765 Commonwealth Avenue, Boston, MA, 02215, US
    42.350979 -71.107023
  • Frederick S. Pardee Management LibraryBorrow it
    595 Commonwealth Avenue, Boston, MA, 02215, US
    42.349626 -71.099547
  • Howard Gotlieb Archival Research CenterBorrow it
    771 Commonwealth Avenue, 5th Floor, Boston, MA, 02215, US
    42.350723 -71.108227
  • Mugar Memorial LibraryBorrow it
    771 Commonwealth Avenue, Boston, MA, 02215, US
    42.350723 -71.108227
  • Music LibraryBorrow it
    771 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US
    42.350723 -71.108227
  • Pikering Educational Resources LibraryBorrow it
    2 Silber Way, Boston, MA, 02215, US
    42.349804 -71.101425
  • School of Theology LibraryBorrow it
    745 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US
    42.350494 -71.107235
  • Science & Engineering LibraryBorrow it
    38 Cummington Mall, Boston, MA, 02215, US
    42.348472 -71.102257
  • Stone Science LibraryBorrow it
    675 Commonwealth Avenue, Boston, MA, 02445, US
    42.350103 -71.103784
Processing Feedback ...