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 the question of whether the limit points
are, in fact solutions of the equation. Problem 3: concerns the
economy of the entire operations. Problem 4: concerns with how to
best choose a method, algorithm or software program to solve a
specific type of problem and its description of when a given
algorithm succeeds or fails. The book contains applications in
several areas of applied sciences including mathematical
programming and mathematical economics. There is also a huge number
of exercises complementing the theory.
- Latest convergence results for the iterative methods
- Iterative methods with the least computational cost
- Iterative methods with the weakest convergence conditions
- Open problems on iterative methods
General
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