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  • Computational Theory of Iterative Methodsby Ioannis Argyros

    Elsevier Science 2007; US$ 240.00

    The book is designed for researchers, students and practitioners interested in using fast and efficient iterative methods to approximate solutions of nonlinear equations. The following four major problems are addressed. Problem 1: Show that the iterates are well defined. Problem 2: concerns the convergence of the sequences generated by a process and... more...

  • Convergence and Applications of Newton-type Iterationsby Ioannis K. Argyros

    Springer New York 2008; US$ 89.99

    Recent results in local convergence and semi-local convergence analysis constitute a natural framework for the theoretical study of iterative methods. This monograph provides a comprehensive study of both basic theory and new results in the area. Each chapter contains new theoretical results and important applications in engineering, dynamic economic... more...

  • Computational Methods in Nonlinear Analysisby Ioannis K. Argyros; Said Hilout

    World Scientific Publishing Company 2013; US$ 205.00

    The field of computational sciences has seen a considerable development in mathematics, engineering sciences, and economic equilibrium theory. Researchers in this field are faced with the problem of solving a variety of equations or variational inequalities. We note that in computational sciences, the practice of numerical analysis for finding such... more...

  • Numerical Methods for Equations and its Applicationsby Ioannis K. Argyros; Yeol J. Cho; Saïd Hilout

    CRC Press 2012; US$ 97.95

    INTRODUCTION NEWTON?S METHOD Convergence under Fréchet differentiability. Convergence under twice Fréchet differentiability. Newton?s method on unbounded domains. Continuous analog of Newton?s method. Interior point techniques. Regular smoothness. ? -convergence. Semilocal convergence and convex majorants. Local convergence and convex majorants.... more...

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