A Contemporary Study of Iterative Methods

Convergence, Dynamics and Applications

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Applied
Cover of the book A Contemporary Study of Iterative Methods by A. Alberto Magrenan, Ioannis Argyros, Elsevier Science
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Author: A. Alberto Magrenan, Ioannis Argyros ISBN: 9780128094938
Publisher: Elsevier Science Publication: February 13, 2018
Imprint: Academic Press Language: English
Author: A. Alberto Magrenan, Ioannis Argyros
ISBN: 9780128094938
Publisher: Elsevier Science
Publication: February 13, 2018
Imprint: Academic Press
Language: English

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
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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.

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