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The ADI Model Problem
Springer 2013; US$ 99.99The ADI Model Problem presents the theoretical foundations of Alternating Direction Implicit (ADI) iteration for systems with both real and complex spectra and extends early work for real spectra into the complex plane with methods for computing optimum iteration parameters for both one and two variable problems. This book provides application... more...
Computational Theory of Iterative Methods
Elsevier Science 2007; US$ 225.00The 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 Iterations
Springer 2008; US$ 64.99Recent 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...
Iterative Krylov Methods for Large Linear Systems
Cambridge University Press 2003; US$ 41.00Based on extensive teaching by the author, this book presents an overview of a number of Krylov projection methods for the solution of linear systems of equations. There are a large number of references for further reading as well as exercises to help students as they first encounter the material. more...
Operators and Iterative Processes of Fejér Type
De Gruyter 2009; US$ 168.00This book, written by two experts in the field, deals with classes of iterative methods for the approximate solution of fixed points equations for operators satisfying a special contractivity condition, the Fejér property. The book is elementary, self-contained and uses methods from functional analysis, with a special focus on the construction of iterative... more...
Some successive approximation methods in control and oscillation theory
Elsevier Science 1969; US$ 161.00In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation... more...
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