Discrete Iterations

Discrete Iterations
Title Discrete Iterations PDF eBook
Author Francois Robert
Publisher Springer Science & Business Media
Pages 202
Release 2012-12-06
Genre Mathematics
ISBN 3642616070

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a c 9 h In presenting this monograph, I would like to indicate both its orientation as well as my personal reasons for being interested in discrete iterations (that is, iterations on a generally very large,jinite set). While working in numerical analysis I have been interested in two main aspects: - the algorithmic aspect: an iterative algorithm is a mathematical entity which behaves in a dynamic fashion. Even if it is started far from a solution, it will often tend to get closer and closer. - the mathematical aspect: this consists of a coherent and rigorous analy sis of convergence, with the aid of mathematical tools (these tools are mainly the use of norms for convergence proofs, the use of matrix algebra and so on). One may for example refer to the algorithmic and mathematical aspects of Newton's method in JRn as well as to the QR algorithm for eigenvalues of matrices. These two algorithms seem to me to be the most fascinating algorithms in numerical analysis, since both show a remarkable practical efficiency even though there exist relatively few global convergence results for them.

Data-Driven Iterative Learning Control for Discrete-Time Systems

Data-Driven Iterative Learning Control for Discrete-Time Systems
Title Data-Driven Iterative Learning Control for Discrete-Time Systems PDF eBook
Author Ronghu Chi
Publisher Springer Nature
Pages 239
Release 2022-11-15
Genre Technology & Engineering
ISBN 9811959501

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This book belongs to the subject of control and systems theory. It studies a novel data-driven framework for the design and analysis of iterative learning control (ILC) for nonlinear discrete-time systems. A series of iterative dynamic linearization methods is discussed firstly to build a linear data mapping with respect of the system’s output and input between two consecutive iterations. On this basis, this work presents a series of data-driven ILC (DDILC) approaches with rigorous analysis. After that, this work also conducts significant extensions to the cases with incomplete data information, specified point tracking, higher order law, system constraint, nonrepetitive uncertainty, and event-triggered strategy to facilitate the real applications. The readers can learn the recent progress on DDILC for complex systems in practical applications. This book is intended for academic scholars, engineers, and graduate students who are interested in learning control, adaptive control, nonlinear systems, and related fields.

Discrete-Time Adaptive Iterative Learning Control

Discrete-Time Adaptive Iterative Learning Control
Title Discrete-Time Adaptive Iterative Learning Control PDF eBook
Author Ronghu Chi
Publisher Springer Nature
Pages 211
Release 2022-03-21
Genre Technology & Engineering
ISBN 9811904642

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This book belongs to the subject of control and systems theory. The discrete-time adaptive iterative learning control (DAILC) is discussed as a cutting-edge of ILC and can address random initial states, iteration-varying targets, and other non-repetitive uncertainties in practical applications. This book begins with the design and analysis of model-based DAILC methods by referencing the tools used in the discrete-time adaptive control theory. To overcome the extreme difficulties in modeling a complex system, the data-driven DAILC methods are further discussed by building a linear parametric data mapping between two consecutive iterations. Other significant improvements and extensions of the model-based/data-driven DAILC are also studied to facilitate broader applications. The readers can learn the recent progress on DAILC with consideration of various applications. This book is intended for academic scholars, engineers and graduate students who are interested in learning control, adaptive control, nonlinear systems, and related fields.

Verification and Validation in Scientific Computing

Verification and Validation in Scientific Computing
Title Verification and Validation in Scientific Computing PDF eBook
Author William L. Oberkampf
Publisher Cambridge University Press
Pages 782
Release 2010-10-14
Genre Computers
ISBN 1139491768

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Advances in scientific computing have made modelling and simulation an important part of the decision-making process in engineering, science, and public policy. This book provides a comprehensive and systematic development of the basic concepts, principles, and procedures for verification and validation of models and simulations. The emphasis is placed on models that are described by partial differential and integral equations and the simulations that result from their numerical solution. The methods described can be applied to a wide range of technical fields, from the physical sciences, engineering and technology and industry, through to environmental regulations and safety, product and plant safety, financial investing, and governmental regulations. This book will be genuinely welcomed by researchers, practitioners, and decision makers in a broad range of fields, who seek to improve the credibility and reliability of simulation results. It will also be appropriate either for university courses or for independent study.

Database Systems for Advanced Applications

Database Systems for Advanced Applications
Title Database Systems for Advanced Applications PDF eBook
Author Jian Pei
Publisher Springer
Pages 952
Release 2018-05-16
Genre Computers
ISBN 3319914529

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This two-volume set LNCS 10827 and LNCS 10828 constitutes the refereed proceedings of the 23rd International Conference on Database Systems for Advanced Applications, DASFAA 2018, held in Gold Coast, QLD, Australia, in May 2018. The 83 full papers, 21 short papers, 6 industry papers, and 8 demo papers were carefully selected from a total of 360 submissions. The papers are organized around the following topics: network embedding; recommendation; graph and network processing; social network analytics; sequence and temporal data processing; trajectory and streaming data; RDF and knowledge graphs; text and data mining; medical data mining; security and privacy; search and information retrieval; query processing and optimizations; data quality and crowdsourcing; learning models; multimedia data processing; and distributed computing.

Linear and Nonlinear Conjugate Gradient-related Methods

Linear and Nonlinear Conjugate Gradient-related Methods
Title Linear and Nonlinear Conjugate Gradient-related Methods PDF eBook
Author Loyce M. Adams
Publisher SIAM
Pages 186
Release 1996-01-01
Genre Mathematics
ISBN 9780898713763

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Proceedings of the AMS-IMS-SIAM Summer Research Conference held at the University of Washington, July 1995.

Machine Learning

Machine Learning
Title Machine Learning PDF eBook
Author Abdelhamid Mellouk
Publisher BoD – Books on Demand
Pages 434
Release 2009-01-01
Genre Computers
ISBN 3902613564

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Machine Learning can be defined in various ways related to a scientific domain concerned with the design and development of theoretical and implementation tools that allow building systems with some Human Like intelligent behavior. Machine learning addresses more specifically the ability to improve automatically through experience.