Numerical Methods for Least Squares Problems PDF Download
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Author: Ake Bjorck
Publisher: SIAM
ISBN: 0898713609
Category : Mathematics
Languages : en
Pages : 421
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Book Description
The method of least squares: the principal tool for reducing the influence of errors when fitting models to given observations.
Author: Ake Bjorck
Publisher: SIAM
ISBN: 0898713609
Category : Mathematics
Languages : en
Pages : 421
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Book Description
The method of least squares: the principal tool for reducing the influence of errors when fitting models to given observations.
Author: Åke Björck
Publisher: SIAM
ISBN: 1611977959
Category : Mathematics
Languages : en
Pages : 509
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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. This book will be of interest to graduate students and researchers in applied mathematics and to researchers working with numerical linear algebra applications.
Author: Charles L. Lawson
Publisher: SIAM
ISBN: 0898713560
Category : Mathematics
Languages : en
Pages : 348
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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.
Author: Sabine Van Huffel
Publisher: SIAM
ISBN: 0898712750
Category : Mathematics
Languages : en
Pages : 302
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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.
Author: Ilse C. F. Ipsen
Publisher: SIAM
ISBN: 0898716764
Category : Mathematics
Languages : en
Pages : 135
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Book Description
Matrix analysis presented in the context of numerical computation at a basic level.
Author: EE Bjvrck
Publisher:
ISBN:
Category :
Languages : en
Pages : 408
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Book Description
Author: Uri M. Ascher
Publisher: SIAM
ISBN: 0898719976
Category : Mathematics
Languages : en
Pages : 574
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Book Description
Offers students a practical knowledge of modern techniques in scientific computing.
Author: Åke Björck
Publisher: Springer
ISBN: 3319050893
Category : Mathematics
Languages : en
Pages : 812
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Book Description
Matrix algorithms are at the core of scientific computing and are indispensable tools in most applications in engineering. This book offers a comprehensive and up-to-date treatment of modern methods in matrix computation. It uses a unified approach to direct and iterative methods for linear systems, least squares and eigenvalue problems. A thorough analysis of the stability, accuracy, and complexity of the treated methods is given. Numerical Methods in Matrix Computations is suitable for use in courses on scientific computing and applied technical areas at advanced undergraduate and graduate level. A large bibliography is provided, which includes both historical and review papers as well as recent research papers. This makes the book useful also as a reference and guide to further study and research work.
Author: Gene Howard Golub
Publisher:
ISBN:
Category :
Languages : en
Pages : 27
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Book Description
Author: Pavel B. Bochev
Publisher: Springer Science & Business Media
ISBN: 0387689222
Category : Mathematics
Languages : en
Pages : 669
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Book Description
Since their emergence, finite element methods have taken a place as one of the most versatile and powerful methodologies for the approximate numerical solution of Partial Differential Equations. These methods are used in incompressible fluid flow, heat, transfer, and other problems. This book provides researchers and practitioners with a concise guide to the theory and practice of least-square finite element methods, their strengths and weaknesses, established successes, and open problems.
