Numerical Methods for Least Squares Problems

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Release : 1996-12-01
Genre : Mathematics
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Book Rating : 609/5 ( reviews)

Numerical Methods for Least Squares Problems - 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 Numerical Methods for Least Squares Problems write by Ake Bjorck. This book was released on 1996-12-01. Numerical Methods for Least Squares Problems available in PDF, EPUB and Kindle. The method of least squares: the principal tool for reducing the influence of errors when fitting models to given observations.

Solving Least Squares Problems

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Release : 1995-12-01
Genre : Mathematics
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Book Rating : 560/5 ( reviews)

Solving Least Squares Problems - 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 Solving Least Squares Problems write by Charles L. Lawson. This book was released on 1995-12-01. Solving Least Squares Problems available in PDF, EPUB and Kindle. 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.

Numerical Methods for Least Squares Problems, Second Edition

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Release : 2024-07-05
Genre : Mathematics
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Book Rating : 959/5 ( reviews)

Numerical Methods for Least Squares Problems, Second Edition - 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 Numerical Methods for Least Squares Problems, Second Edition write by Åke Björck. This book was released on 2024-07-05. Numerical Methods for Least Squares Problems, Second Edition available in PDF, EPUB and Kindle. The method of least squares, discovered by Gauss in 1795, is a principal tool for reducing the influence of errors when fitting a mathematical model to given observations. Applications arise in many areas of science and engineering. The increased use of automatic data capturing frequently leads to large-scale least squares problems. Such problems can be solved by using recent developments in preconditioned iterative methods and in sparse QR factorization. The first edition of Numerical Methods for Least Squares Problems was the leading reference on the topic for many years. The updated second edition stands out compared to other books on this subject because it provides an in-depth and up-to-date treatment of direct and iterative methods for solving different types of least squares problems and for computing the singular value decomposition. It also is unique because it covers generalized, constrained, and nonlinear least squares problems as well as partial least squares and regularization methods for discrete ill-posed problems. The bibliography of over 1,100 historical and recent references provides a comprehensive survey of past and present research in the field. This book will be of interest to graduate students and researchers in applied mathematics and to researchers working with numerical linear algebra applications.

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.

Numerical Methods for Inverse Problems

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Release : 2016-06-07
Genre : Mathematics
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Book Rating : 184/5 ( reviews)

Numerical Methods for Inverse Problems - 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 Numerical Methods for Inverse Problems write by Michel Kern. This book was released on 2016-06-07. Numerical Methods for Inverse Problems available in PDF, EPUB and Kindle. This book studies methods to concretely address inverse problems. An inverse problem arises when the causes that produced a given effect must be determined or when one seeks to indirectly estimate the parameters of a physical system. The author uses practical examples to illustrate inverse problems in physical sciences. He presents the techniques and specific methods chosen to solve inverse problems in a general domain of application, choosing to focus on a small number of methods that can be used in most applications. This book is aimed at readers with a mathematical and scientific computing background. Despite this, it is a book with a practical perspective. The methods described are applicable, have been applied, and are often illustrated by numerical examples.