Numerical Methods for Least Squares Problems

Numerical Methods for Least Squares Problems PDF Author: Ake Bjorck
Publisher: SIAM
ISBN: 0898713609
Category : Mathematics
Languages : en
Pages : 421

Book Description
The method of least squares: the principal tool for reducing the influence of errors when fitting models to given observations.

The Total Least Squares Problem

The Total Least Squares Problem PDF Author: Sabine Van Huffel
Publisher: SIAM
ISBN: 0898712750
Category : Mathematics
Languages : en
Pages : 302

Book Description
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.

Statistical Analysis of Measurement Error Models and Applications

Statistical Analysis of Measurement Error Models and Applications PDF Author: Philip J. Brown
Publisher: American Mathematical Soc.
ISBN: 0821851179
Category : Mathematics
Languages : en
Pages : 262

Book Description
Measurement error models describe functional relationships among variables observed, subject to random errors of measurement. This book treats general aspects of the measurement problem and features a discussion of the history of measurement error models.

Applied Numerical Linear Algebra

Applied Numerical Linear Algebra PDF Author: James W. Demmel
Publisher: SIAM
ISBN: 0898713897
Category : Mathematics
Languages : en
Pages : 426

Book Description
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 PDF Author: Sabine van Huffel
Publisher: SIAM
ISBN: 9780898713930
Category : Mathematics
Languages : en
Pages : 404

Book Description
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.

Solving Least Squares Problems

Solving Least Squares Problems PDF Author: Charles L. Lawson
Publisher: SIAM
ISBN: 0898713560
Category : Mathematics
Languages : en
Pages : 348

Book Description
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.

Matrix Perturbation Theory

Matrix Perturbation Theory PDF Author: G. W. Stewart
Publisher: Academic Press
ISBN:
Category : Computers
Languages : en
Pages : 392

Book Description
This book is a comprehensive survey of matrix perturbation theory, a topic of interest to numerical analysts, statisticians, physical scientists, and engineers. In particular, the authors cover perturbation theory of linear systems and least square problems, the eignevalue problem, and the generalized eignevalue problem as wellas a complete treatment of vector and matrix norms, including the theory of unitary invariant norms.

Journal of the American Statistical Association

Journal of the American Statistical Association PDF Author: American Statistical Association
Publisher:
ISBN:
Category : Statistics
Languages : en
Pages : 694

Book Description


Data Analysis Using the Method of Least Squares

Data Analysis Using the Method of Least Squares PDF Author: John Wolberg
Publisher: Springer Science & Business Media
ISBN: 3540317201
Category : Mathematics
Languages : en
Pages : 257

Book Description
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

Publications of the National Institute of Standards and Technology ... Catalog

Publications of the National Institute of Standards and Technology ... Catalog PDF Author: National Institute of Standards and Technology (U.S.)
Publisher:
ISBN:
Category :
Languages : en
Pages : 452

Book Description