Total Least Squares and Errors-in-Variables Modeling

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Release : 2013-03-14
Genre : Mathematics
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Book Rating : 522/5 ( reviews)

Total Least Squares and Errors-in-Variables Modeling - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Total Least Squares and Errors-in-Variables Modeling write by S. van Huffel. This book was released on 2013-03-14. Total Least Squares and Errors-in-Variables Modeling available in PDF, EPUB and Kindle. In response to a growing interest in Total Least Squares (TLS) and Errors-In-Variables (EIV) modeling by researchers and practitioners, well-known experts from several disciplines were invited to prepare an overview paper and present it at the third international workshop on TLS and EIV modeling held in Leuven, Belgium, August 27-29, 2001. These invited papers, representing two-thirds of the book, together with a selection of other presented contributions yield a complete overview of the main scientific achievements since 1996 in TLS and Errors-In-Variables modeling. In this way, the book nicely completes two earlier books on TLS (SIAM 1991 and 1997). Not only computational issues, but also statistical, numerical, algebraic properties are described, as well as many new generalizations and applications. Being aware of the growing interest in these techniques, it is a strong belief that this book will aid and stimulate users to apply the new techniques and models correctly to their own practical problems.

Recent Advances in Total Least Squares Techniques and Errors-in-variables Modeling

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Release : 1997-01-01
Genre : Mathematics
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Book Rating : 930/5 ( reviews)

Recent Advances in Total Least Squares Techniques and Errors-in-variables Modeling - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Recent Advances in Total Least Squares Techniques and Errors-in-variables Modeling write by Sabine van Huffel. This book was released on 1997-01-01. Recent Advances in Total Least Squares Techniques and Errors-in-variables Modeling available in PDF, EPUB and Kindle. An overview of the computational issues; statistical, numerical, and algebraic properties, and new generalizations and applications of advances on TLS and EIV models. Experts from several disciplines prepared overview papers which were presented at the conference and are included in this book.

Special Issue Total Least Squares and Errors in Variables Modeling

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Release : 2007
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Special Issue Total Least Squares and Errors in Variables Modeling - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Special Issue Total Least Squares and Errors in Variables Modeling write by Sabine Van Huffel. This book was released on 2007. Special Issue Total Least Squares and Errors in Variables Modeling available in PDF, EPUB and Kindle.

Errors-in-Variables Methods in System Identification

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Release : 2018-04-07
Genre : Technology & Engineering
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Book Rating : 011/5 ( reviews)

Errors-in-Variables Methods in System Identification - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Errors-in-Variables Methods in System Identification write by Torsten Söderström. This book was released on 2018-04-07. Errors-in-Variables Methods in System Identification available in PDF, EPUB and Kindle. This book presents an overview of the different errors-in-variables (EIV) methods that can be used for system identification. Readers will explore the properties of an EIV problem. Such problems play an important role when the purpose is the determination of the physical laws that describe the process, rather than the prediction or control of its future behaviour. EIV problems typically occur when the purpose of the modelling is to get physical insight into a process. Identifiability of the model parameters for EIV problems is a non-trivial issue, and sufficient conditions for identifiability are given. The author covers various modelling aspects which, taken together, can find a solution, including the characterization of noise properties, extension to multivariable systems, and continuous-time models. The book finds solutions that are constituted of methods that are compatible with a set of noisy data, which traditional approaches to solutions, such as (total) least squares, do not find. A number of identification methods for the EIV problem are presented. Each method is accompanied with a detailed analysis based on statistical theory, and the relationship between the different methods is explained. A multitude of methods are covered, including: instrumental variables methods; methods based on bias-compensation; covariance matching methods; and prediction error and maximum-likelihood methods. The book shows how many of the methods can be applied in either the time or the frequency domain and provides special methods adapted to the case of periodic excitation. It concludes with a chapter specifically devoted to practical aspects and user perspectives that will facilitate the transfer of the theoretical material to application in real systems. Errors-in-Variables Methods in System Identification gives readers the possibility of recovering true system dynamics from noisy measurements, while solving over-determined systems of equations, making it suitable for statisticians and mathematicians alike. The book also acts as a reference for researchers and computer engineers because of its detailed exploration of EIV problems.

The Total Least Squares Problem

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Release : 1991-01-01
Genre : Mathematics
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Book Rating : 750/5 ( reviews)

The Total Least Squares Problem - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Total Least Squares Problem write by Sabine Van Huffel. This book was released on 1991-01-01. The Total Least Squares Problem available in PDF, EPUB and Kindle. This is the first book devoted entirely to total least squares. The authors give a unified presentation of the TLS problem. A description of its basic principles are given, the various algebraic, statistical and sensitivity properties of the problem are discussed, and generalizations are presented. Applications are surveyed to facilitate uses in an even wider range of applications. Whenever possible, comparison is made with the well-known least squares methods. A basic knowledge of numerical linear algebra, matrix computations, and some notion of elementary statistics is required of the reader; however, some background material is included to make the book reasonably self-contained.