Product Description 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. Review "âContemporary? in the title means that the coverage is state-of-the-art, with all currently-useful methods being shown. The level of detail is reasonable for an encyclopedia, and each chapter is extensively footnoted with references to research papers. Usually each chapter describes the method, quotes some theorems about the conditions under which it will succeed (occasionally with proofs), and usually a contrived numeric example to show how it works. Thereâs usually some discussion of convergence speed." --MAA Reviews Review Evaluates and compares advances in iterative techniques, discussing their numerous applications in mathematics, engineering, economics, biology and other applied sciences About the Author Professor Alberto MagreÃ±Ã¡n (Department of Mathematics, Universidad Internacional de La Rioja, Spain). MagreÃ±Ã¡n has published 43 documents. He works in operator theory, computational mathematics, Iterative methods, dynamical study and computation. Professor Ioannis Argyros (Department of Mathematical Sciences Cameron University, Lawton, OK, USA) has published 329 indexed documents and 25 books. Argyros is interested in theories of inequalities, operators, computational mathematics and iterative methods, and banach spaces.