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Numerical Methods for Least Squares Problems, Second Edition
Author(s): Åke Björck (Author)
- Publisher finelybook 出版社: SIAM – Society for Industrial and Applied Mathematics
- Publication Date 出版日期: July 5, 2024
- Language 语言: English
- Print length 页数: 518 pages
- ISBN-10: 1611977940
- ISBN-13: 9781611977943
Book Description
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.
Editorial Reviews
About the Author
Åke Björck is a professor emeritus at Linköping University, Sweden. He is the author of many research papers and books on numerical analysis and matrix computations. He served as managing editor of the journal BIT Numerical Mathematics from 1993 to 2003 and has been a SIAM Fellow since 2014.
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