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 1996-01-01. Numerical Methods for Least Squares Problems available in PDF, EPUB and Kindle. The method of least squares was discovered by Gauss in 1795. It has since become the principal tool to reduce the influence of errors when fitting models to given observations. Today, applications of least squares arise in a great number of scientific areas, such as statistics, geodetics, signal processing, and control. In the last 20 years there has been a great increase in the capacity for automatic data capturing and computing. Least squares problems of large size are now routinely solved. Tremendous progress has been made in numerical methods for least squares problems, in particular for generalized and modified least squares problems and direct and iterative methods for sparse problems. Until now there has not been a monograph that covers the full spectrum of relevant problems and methods in least squares. This volume gives an in-depth treatment of topics such as methods for sparse least squares problems, iterative methods, modified least squares, weighted problems, and constrained and regularized problems. The more than 800 references provide a comprehensive survey of the available literature on the subject.
Numerical Methods for Least Squares Problems, Second Edition
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.
A First Course in Numerical Analysis
A First Course in Numerical Analysis - 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 A First Course in Numerical Analysis write by Anthony Ralston. This book was released on 2001-01-01. A First Course in Numerical Analysis available in PDF, EPUB and Kindle. Outstanding text, oriented toward computer solutions, stresses errors in methods and computational efficiency. Problems — some strictly mathematical, others requiring a computer — appear at the end of each chapter.
Solving Least Squares Problems
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 Matrix Analysis
Numerical Matrix Analysis - 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 Matrix Analysis write by Ilse C. F. Ipsen. This book was released on 2009-07-23. Numerical Matrix Analysis available in PDF, EPUB and Kindle. Matrix analysis presented in the context of numerical computation at a basic level.
