A Contemporary Study of Iterative Methods
  • Author : A. Alberto Magrenan
  • Release Date : 13 February 2018
  • Publisher : Academic Press
  • Genre : Mathematics
  • Pages : 400
  • ISBN 13 : 9780128094938

A Contemporary Study of Iterative Methods Book Summary

A Contemporary Study of Iterative Methods: Convergence, Dynamics and Applications evaluates and compares advances in iterative techniques, also discussing their numerous applications in applied mathematics, engineering, mathematical economics, mathematical biology and other applied sciences. It uses the popular iteration technique in generating the approximate solutions of complex nonlinear equations that is suitable for aiding in the solution of advanced problems in engineering, mathematical economics, mathematical biology and other applied sciences. Iteration methods are also applied for solving optimization problems. In such cases, the iteration sequences converge to an optimal solution of the problem at hand. Contains recent results on the convergence analysis of numerical algorithms in both finite-dimensional and infinite-dimensional spaces Encompasses the novel tool of dynamic analysis for iterative methods, including new developments in Smale stability theory and polynomiography Explores the uses of computation of iterative methods across non-linear analysis Uniquely places discussion of derivative-free methods in context of other discoveries, aiding comparison and contrast between options

A Contemporary Study of Iterative Methods

A Contemporary Study of Iterative Methods

Author : A. Alberto Magrenan,Ioannis Argyros
Publisher : Academic Press
Genre : Mathematics
Total View : 3142 Views
File Size : 40,8 Mb
Get Book

A Contemporary Study of Iterative Methods: Convergence, Dynamics and Applications evaluates and compares advances in iterative techniques, also discussing their numerous applications in applied mathematics, engineering, mathematical economics, mathematical biology and other applied sciences. It uses the popular iteration technique in generating the approximate solutions of complex nonlinear equations that ...

A Contemporary Study of Iterative Methods

A Contemporary Study of Iterative Methods

Author : A. Alberto Magrenan,Ioannis Argyros
Publisher : Academic Press
Genre : Iterative methods
Total View : 6314 Views
File Size : 46,6 Mb
Get Book

A Contemporary Study of Iterative Methods: Convergence, Dynamics and Applications evaluates and compares advances in iterative techniques, also discussing their numerous applications in applied mathematics, engineering, mathematical economics, mathematical biology and other applied sciences. It uses the popular iteration technique in generating the approximate solutions of complex nonlinear equations that ...

Iterative Methods and Their Dynamics with Applications

Iterative Methods and Their Dynamics with Applications

Author : Ioannis Konstantinos Argyros,Angel Alberto Magreñán
Publisher : CRC Press
Genre : Mathematics
Total View : 5847 Views
File Size : 45,9 Mb
Get Book

Iterative processes are the tools used to generate sequences approximating solutions of equations describing real life problems. Intended for researchers in computational sciences and as a reference book for advanced computational method in nonlinear analysis, this book is a collection of the recent results on the convergence analysis of numerical ...

Iterative Methods for Solving Nonlinear Equations and Systems

Iterative Methods for Solving Nonlinear Equations and Systems

Author : Juan R. Torregrosa,Alicia Cordero,Fazlollah Soleymani
Publisher : MDPI
Genre : Mathematics
Total View : 5691 Views
File Size : 55,8 Mb
Get Book

Solving nonlinear equations in Banach spaces (real or complex nonlinear equations, nonlinear systems, and nonlinear matrix equations, among others), is a non-trivial task that involves many areas of science and technology. Usually the solution is not directly affordable and require an approach using iterative algorithms. This Special Issue focuses mainly ...

Iterative Methods and Their Dynamics with Applications

Iterative Methods and Their Dynamics with Applications

Author : Ioannis Konstantinos Argyros,Angel Alberto Magreñán
Publisher : CRC Press
Genre : Mathematics
Total View : 6287 Views
File Size : 51,7 Mb
Get Book

Iterative processes are the tools used to generate sequences approximating solutions of equations describing real life problems. Intended for researchers in computational sciences and as a reference book for advanced computational method in nonlinear analysis, this book is a collection of the recent results on the convergence analysis of numerical ...

The Theory and Applications of Iteration Methods

The Theory and Applications of Iteration Methods

Author : Ioannis K. Argyros
Publisher : CRC Press
Genre : Mathematics
Total View : 3531 Views
File Size : 42,7 Mb
Get Book

The theory and applications of Iteration Methods is a very fast-developing field of numerical analysis and computer methods. The second edition is completely updated and continues to present the state-of-the-art contemporary theory of iteration methods with practical applications, exercises, case studies, and examples of where and how they can be ...

Advanced Numerical Methods for Differential Equations

Advanced Numerical Methods for Differential Equations

Author : Harendra Singh,Jagdev Singh,Sunil Dutt Purohit,Devendra Kumar
Publisher : CRC Press
Genre : Mathematics
Total View : 6782 Views
File Size : 43,9 Mb
Get Book

Mathematical models are used to convert real-life problems using mathematical concepts and language. These models are governed by differential equations whose solutions make it easy to understand real-life problems and can be applied to engineering and science disciplines. This book presents numerical methods for solving various mathematical models. This book ...

Symmetry with Operator Theory and Equations

Symmetry with Operator Theory and Equations

Author : Ioannis Argyros
Publisher : MDPI
Genre : Mathematics
Total View : 4254 Views
File Size : 54,5 Mb
Get Book

A plethora of problems from diverse disciplines such as Mathematics, Mathematical: Biology, Chemistry, Economics, Physics, Scientific Computing and also Engineering can be formulated as an equation defined in abstract spaces using Mathematical Modelling. The solutions of these equations can be found in closed form only in special case. That is ...