Listing 1 - 5 of 5 |
Sort by
|
Choose an application
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
Funktionalanalysis. --- Iteration. --- Iterative methods (Mathematics). --- Lehrbuch. --- Numerische Mathematik. --- Iterative methods (Mathematics) --- Engineering & Applied Sciences --- Applied Mathematics --- Numerical analysis. --- Mathematical analysis --- Iteration (Mathematics) --- Numerical analysis
Choose an application
The aim of this monograph is to give a unified introductory treatment of the most important iterative methods for constructing fixed points of nonlinear contractive type mappings. It summarizes the most significant contributions in the area by presenting, for each iterative method considered (Picard iteration, Krasnoselskij iteration, Mann iteration, Ishikawa iteration etc.), some of the most relevant, interesting, representative and actual convergence theorems. Applications to the solution of nonlinear operator equations as well as the appropriate error analysis of the main iterative methods, are also presented. Due to the explosive number of research papers on the topic (in the last 15 years only, more than one thousand articles related to the subject were published), it was felt that such a monograph was imperatively necessary. The volume is useful for authors, editors, and reviewers. It introduces concrete criteria for evaluating and judging the plethora of published papers.
Fixed point theory. --- Iterative methods (Mathematics) --- Fixed point theory --- Théorème du point fixe --- Itération (Mathématiques) --- Bibliography. --- Mathematical Theory --- Calculus --- Applied Mathematics --- Mathematics --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Iteration (Mathematics) --- Fixed point theorems (Topology) --- Mathematics. --- Operator theory. --- Numerical analysis. --- Topology. --- Operator Theory. --- Numerical Analysis. --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Mathematical analysis --- Functional analysis --- Math --- Science --- Numerical analysis --- Nonlinear operators --- Coincidence theory (Mathematics)
Choose an application
Iterative processing is an important technique with numerous applications. Exploiting the power of factor graphs, this detailed survey provides a general framework for systematically developing iterative algorithms for digital receivers, and highlights connections between important algorithms. Starting with basic concepts in digital communications, progressively more complex ideas are presented and integrated resulting in the development of cutting-edge algorithms for iterative receivers. Real-world applications are covered in detail, including decoding for turbo and LDPC codes, and detection for multi-antenna and multi-user systems. This accessible framework will allow the reader to apply factor graphs to practical problems, leading to the design of new algorithms in applications beyond digital receivers. With many examples and algorithms in pseudo-code, this book is an invaluable resource for graduate students and researchers in electrical engineering and computer science, and for practitioners in the communications industry. Additional resources for this title are available online at www.cambridge.org/9780521873154.
Digital communications --- Iterative methods (Mathematics). --- Parallel algorithms. --- Mathematical models. --- Iterative methods (Mathematics) --- Parallel algorithms --- 621.391 --- Algorithms --- Communications, Digital --- Digital transmission --- Pulse communication --- Digital electronics --- Pulse techniques (Electronics) --- Telecommunication --- Digital media --- Signal processing --- 621.391 General questions of electrical communication engineering. Cybernetics. Information theory. Signal theory --- General questions of electrical communication engineering. Cybernetics. Information theory. Signal theory --- Iteration (Mathematics) --- Numerical analysis --- Mathematical models --- Digital techniques
Choose an application
Natural phenomena can be visually described with fractal-geometry methods, where iterative procedures rather than equations are used to model objects. With the development of better modelling algorithms, the efficiency of rendering, the realism of computer-generated scenes and the interactivity of visual stimuli are reaching astonishing levels. Iterated Function Systems for Real-Time Image Synthesis gives an explanation of iterated function systems and how to use them in generation of complex objects. Contents include: •Discussion of the most popular fractal models applied in the field of image synthesis. •Presentation of iterated function system models, including recent developments in IFS representation. •Exploration of algorithms for creating and manipulating fractal objects, and techniques for implementing the algorithms. •Use of practical examples to demonstrate the implementation and application of IFS models. The book contains both a description text and pseudo-code samples for the convenience of graphics application programmers. Slawomir Nikiel is an Assistant Professor at the Institute of Control and Computation Engineering, University of Zielona Góra. He started working with fractal geometry in 1995. His current research interests include fractal image synthesis for real-time computer graphics and virtual environments. The information in the book comes from the results of his recent research.
Computer graphics. --- Image processing --- Iterative methods (Mathematics) --- Fractals. --- Digital techniques --- Mathematical models. --- Automatic drafting --- Graphic data processing --- Graphics, Computer --- Computer art --- Graphic arts --- Electronic data processing --- Engineering graphics --- Fractal geometry --- Fractal sets --- Geometry, Fractal --- Sets, Fractal --- Sets of fractional dimension --- Dimension theory (Topology) --- Iteration (Mathematics) --- Numerical analysis --- Pictorial data processing --- Picture processing --- Processing, Image --- Imaging systems --- Optical data processing --- Computer vision. --- Computer Graphics. --- Image Processing and Computer Vision. --- Machine vision --- Vision, Computer --- Artificial intelligence --- Pattern recognition systems --- Optical data processing. --- Optical computing --- Visual data processing --- Bionics --- Integrated optics --- Photonics --- Computers --- Optical equipment
Choose an application
This monograph studies the design of robust, monotonically-convergent iterative learning controllers for discrete-time systems. Two key problems with the fundamentals of iterative learning control (ILC) design as treated by existing work are: first, many ILC design strategies assume nominal knowledge of the system to be controlled and; second, it is well-known that many ILC algorithms do not produce monotonic convergence, though in applications monotonic convergence is often essential. Iterative Learning Control takes account of the recently-developed comprehensive approach to robust ILC analysis and design established to handle the situation where the plant model is uncertain. Considering ILC in the iteration domain, it presents a unified analysis and design framework that enables designers to consider both robustness and monotonic convergence for typical uncertainty models, including parametric interval uncertainties, iteration-domain frequency uncertainty, and iteration-domain stochastic uncertainty. Topics include: • Use of a lifting technique to convert the two-dimensional ILC system, which has dynamics in both the time and iteration domains, into the supervector framework, which yields a one-dimensional system, with dynamics only in the iteration domain. • Development of iteration-domain uncertainty models in the supervector framework. • ILC design for monotonic convergence when the plant is subject to parametric interval uncertainty in its Markov matrix. • An algebraic H-infinity design methodology for ILC design when the plant is subject to iteration-domain frequency uncertainty. • Development of Kalman-filter-based ILC algorithms when the plant is subject to iteration-domain stochastic uncertainties. • Analytical determination of the base-line error of ILC algorithms. • Solutions to three fundamental robust interval computational problems (used as basic tools for designing robust ILC controllers): finding the maximum singular value of an interval matrix, determining the robust stability of interval polynomial matrix, and obtaining the power of an interval matrix. Iterative Learning Control will be of great interest to academic researchers in control theory and to industrial control engineers working in robotics-oriented manufacturing and batch-processing-based industries. Graduate students of intelligent control will also find this volume instructive.
Engineering. --- Artificial intelligence. --- Bioinformatics. --- System theory. --- Control engineering. --- Robotics. --- Mechatronics. --- Biomedical engineering. --- Control. --- Systems Theory, Control. --- Artificial Intelligence (incl. Robotics). --- Control, Robotics, Mechatronics. --- Biomedical Engineering. --- Clinical engineering --- Medical engineering --- Bioengineering --- Biophysics --- Engineering --- Medicine --- Mechanical engineering --- Microelectronics --- Microelectromechanical systems --- Automation --- Machine theory --- Control engineering --- Control equipment --- Control theory --- Engineering instruments --- Programmable controllers --- Systems, Theory of --- Systems science --- Science --- Bio-informatics --- Biological informatics --- Biology --- Information science --- Computational biology --- Systems biology --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Electronic data processing --- Logic machines --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Construction --- Industrial arts --- Technology --- Philosophy --- Data processing --- Intelligent control systems. --- Iterative methods (Mathematics) --- Iteration (Mathematics) --- Numerical analysis --- Intelligent control --- Intelligent controllers --- Automatic control --- Control and Systems Theory. --- Artificial Intelligence. --- Biomedical Engineering and Bioengineering. --- Systems theory.
Listing 1 - 5 of 5 |
Sort by
|