The Total Least Squares Problem

The Total Least Squares Problem
Author: Sabine Van Huffel
Publisher: SIAM
Total Pages: 302
Release: 1991-01-01
Genre: Mathematics
ISBN: 0898712750

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.

Total Least Squares and Errors-in-Variables Modeling

Total Least Squares and Errors-in-Variables Modeling
Author: S. van Huffel
Publisher: Springer Science & Business Media
Total Pages: 389
Release: 2013-03-14
Genre: Mathematics
ISBN: 9401735522

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.

Parameter Estimation and Inverse Problems

Parameter Estimation and Inverse Problems
Author: Richard C. Aster
Publisher: Elsevier
Total Pages: 406
Release: 2018-10-16
Genre: Science
ISBN: 0128134232

Parameter Estimation and Inverse Problems, Third Edition, is structured around a course at New Mexico Tech and is designed to be accessible to typical graduate students in the physical sciences who do not have an extensive mathematical background. The book is complemented by a companion website that includes MATLAB codes that correspond to examples that are illustrated with simple, easy to follow problems that illuminate the details of particular numerical methods. Updates to the new edition include more discussions of Laplacian smoothing, an expansion of basis function exercises, the addition of stochastic descent, an improved presentation of Fourier methods and exercises, and more. - Features examples that are illustrated with simple, easy to follow problems that illuminate the details of a particular numerical method - Includes an online instructor's guide that helps professors teach and customize exercises and select homework problems - Covers updated information on adjoint methods that are presented in an accessible manner

Data Analysis Using the Method of Least Squares

Data Analysis Using the Method of Least Squares
Author: John Wolberg
Publisher: Springer Science & Business Media
Total Pages: 257
Release: 2006-02-08
Genre: Mathematics
ISBN: 3540317201

Develops the full power of the least-squares method Enables engineers and scientists to apply the method to their specific problem Deals with linear as well as with non-linear least-squares, parametric as well as non-parametric methods

Solving Least Squares Problems

Solving Least Squares Problems
Author: Charles L. Lawson
Publisher: SIAM
Total Pages: 348
Release: 1995-12-01
Genre: Mathematics
ISBN: 0898713560

This Classic edition includes a new appendix which summarizes the major developments since the book was originally published in 1974. The additions are organized in short sections associated with each chapter. An additional 230 references have been added, bringing the bibliography to over 400 entries. Appendix C has been edited to reflect changes in the associated software package and software distribution method.

Discrete Inverse and State Estimation Problems

Discrete Inverse and State Estimation Problems
Author: Carl Wunsch
Publisher: Cambridge University Press
Total Pages: 357
Release: 2006-06-29
Genre: Science
ISBN: 1139456938

Addressing the problems of making inferences from noisy observations and imperfect theories, this 2006 book introduces many inference tools and practical applications. Starting with fundamental algebraic and statistical ideas, it is ideal for graduate students and researchers in oceanography, climate science, and geophysical fluid dynamics.

Applied Numerical Linear Algebra

Applied Numerical Linear Algebra
Author: James W. Demmel
Publisher: SIAM
Total Pages: 426
Release: 1997-08-01
Genre: Mathematics
ISBN: 0898713897

This comprehensive textbook is designed for first-year graduate students from a variety of engineering and scientific disciplines.

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

Recent Advances in Total Least Squares Techniques and Errors-in-variables Modeling
Author: Sabine van Huffel
Publisher: SIAM
Total Pages: 404
Release: 1997-01-01
Genre: Mathematics
ISBN: 9780898713930

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.

Handbook of Partial Least Squares

Handbook of Partial Least Squares
Author: Vincenzo Esposito Vinzi
Publisher: Springer Science & Business Media
Total Pages: 791
Release: 2010-03-10
Genre: Mathematics
ISBN: 3540328270

This handbook provides a comprehensive overview of Partial Least Squares (PLS) methods with specific reference to their use in marketing and with a discussion of the directions of current research and perspectives. It covers the broad area of PLS methods, from regression to structural equation modeling applications, software and interpretation of results. The handbook serves both as an introduction for those without prior knowledge of PLS and as a comprehensive reference for researchers and practitioners interested in the most recent advances in PLS methodology.