Discrete Dynamics in Nature and Society

Real and Complex Dynamics of Iterative Methods


Publishing date
22 Jan 2016
Status
Published
Submission deadline
04 Sep 2015

Lead Editor

1Universitat Politècnica de València, Valencia, Spain

2Naval Postgraduate School, Monterey, USA

3Islamic Azad University, Tehran, Iran


Real and Complex Dynamics of Iterative Methods

Description

Iterative methods play a significant role in the study of linear or nonlinear phenomena occurring in engineering, physics, economics, social sciences, life sciences, and medicine. In the recent years, the study of the dynamical behavior of the rational operator associated with an iterative method has become a rapidly growing area of research, since the dynamical properties of the rational operator give us important information about the convergence, efficiency, and reliability of the iterative method.

In this issue we will focus on the new trends in the edge between these areas of research: the analysis of iterative methods for solving nonlinear problems and the dynamical study of the associated operators. Although the main aims of the construction of iterative schemes are to get high order of convergence and computational efficiency, their stability is an important subject to be taken into account: the wideness of basins of attraction, the convergence to attracting elements different from the solution, and so on. The dynamical analysis of the iterative methods gives us interesting information about these topics.

We invite researchers to submit original research articles as well as review articles that will stimulate the continuing efforts to combine numerical and dynamical tools for designing, developing, and applying iterative schemes for solving nonlinear problems. We also encourage the authors to include practical applications in their submissions.

Potential topics include, but are not limited to:

  • Dynamical analysis of iterative schemes for solving nonlinear equations
  • Study of the stability of iterative procedures for solving linear or nonlinear systems
  • Dynamical behavior of recurrence relations versus iterative methods with memory
  • Matrix equations: iterative approach and stability
  • Stability analysis of interval iterative methods for solving nonlinear equations
  • Application to engineering and industrial problems
  • Fractals in nature and iterative methods

Articles

  • Special Issue
  • - Volume 2016
  • - Article ID 4765286
  • - Editorial

Real and Complex Dynamics of Iterative Methods

Alicia Cordero | Juan R. Torregrosa | ... | Taher Lotfi
  • Special Issue
  • - Volume 2016
  • - Article ID 8436759
  • - Research Article

A Triparametric Family of Optimal Fourth-Order Multiple-Root Finders and Their Dynamics

Young Ik Kim | Young Hee Geum
  • Special Issue
  • - Volume 2015
  • - Article ID 378517
  • - Research Article

On Constructing Two-Point Optimal Fourth-Order Multiple-Root Finders with a Generic Error Corrector and Illustrating Their Dynamics

Young Ik Kim | Young Hee Geum
  • Special Issue
  • - Volume 2015
  • - Article ID 162050
  • - Research Article

Accounting for Recent Changes of Gain in Dealing with Ties in Iterative Methods for Circuit Partitioning

Yong-Hyuk Kim | Yourim Yoon
  • Special Issue
  • - Volume 2015
  • - Article ID 527854
  • - Research Article

Complexity Study of the Credit Risk of a Business Group

Yang Yang | Jing Gu | Zongfang Zhou
  • Special Issue
  • - Volume 2015
  • - Article ID 869012
  • - Research Article

Static Output Feedback Control for Discrete-Time Switched Systems via Improved Path-Following Method

Jian Chen | Chong Lin
  • Special Issue
  • - Volume 2015
  • - Article ID 649423
  • - Research Article

A Novel Iterative Method for Polar Decomposition and Matrix Sign Function

F. Soleymani | Predrag S. Stanimirović | Igor Stojanović
  • Special Issue
  • - Volume 2015
  • - Article ID 127574
  • - Research Article

Research for Global Coordinating Method of Large Equipment Scheduling in Construction Site

Yao Ruojun | Ma Guangwen | Jin Lianghai
Discrete Dynamics in Nature and Society
 Journal metrics
Acceptance rate21%
Submission to final decision59 days
Acceptance to publication84 days
CiteScore0.990
Impact Factor0.973
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