Numerical Methods For Least Squares Problems

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Numerical Methods For Least Squares Problems

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Author : Ake Bjorck
language : en
Publisher: SIAM
Release Date : 1996-12-01

Numerical Methods For Least Squares Problems written by Ake Bjorck and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-12-01 with Mathematics categories.

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

Numerical Methods For Least Squares Problems Second Edition

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Author : Åke Björck
language : en
Publisher: SIAM
Release Date : 2024-07-05

Numerical Methods For Least Squares Problems Second Edition written by Åke Björck and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-05 with Mathematics categories.

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.

Numerical Methods For Least Squares Problems

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Author : Ake Bjorck
language : en
Publisher: SIAM
Release Date : 1996-01-01

Numerical Methods For Least Squares Problems written by Ake Bjorck and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-01-01 with Mathematics categories.

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.

Solving Least Squares Problems

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Author : Charles L. Lawson
language : en
Publisher: SIAM
Release Date : 1995-12-01

Solving Least Squares Problems written by Charles L. Lawson and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-12-01 with Mathematics categories.

Acta Numerica 2004 Volume 13

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Author : Arieh Iserles
language : en
Publisher: Cambridge University Press
Release Date : 2004-06-03

Acta Numerica 2004 Volume 13 written by Arieh Iserles and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-03 with Juvenile Nonfiction categories.

An annual volume presenting substantive survey articles in numerical mathematics and scientific computing.

Matrix Computations

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Author : Gene H. Golub
language : en
Publisher: JHU Press
Release Date : 1996-10-15

Matrix Computations written by Gene H. Golub and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-10-15 with Mathematics categories.

Revised and updated, the third edition of Golub and Van Loan's classic text in computer science provides essential information about the mathematical background and algorithmic skills required for the production of numerical software. This new edition includes thoroughly revised chapters on matrix multiplication problems and parallel matrix computations, expanded treatment of CS decomposition, an updated overview of floating point arithmetic, a more accurate rendition of the modified Gram-Schmidt process, and new material devoted to GMRES, QMR, and other methods designed to handle the sparse unsymmetric linear system problem.

Nbs Special Publication

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Author :
language : en
Publisher:
Release Date : 1968

Nbs Special Publication written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Database management categories.

Numerical Methods For Large Eigenvalue Problems

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Author : Yousef Saad
language : en
Publisher: SIAM
Release Date : 2011-01-01

Numerical Methods For Large Eigenvalue Problems written by Yousef Saad and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-01 with Mathematics categories.

This revised edition discusses numerical methods for computing eigenvalues and eigenvectors of large sparse matrices. It provides an in-depth view of the numerical methods that are applicable for solving matrix eigenvalue problems that arise in various engineering and scientific applications. Each chapter was updated by shortening or deleting outdated topics, adding topics of more recent interest, and adapting the Notes and References section. Significant changes have been made to Chapters 6 through 8, which describe algorithms and their implementations and now include topics such as the implicit restart techniques, the Jacobi-Davidson method, and automatic multilevel substructuring.

Numerical Methods Least Squares Problems

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Author : EE Bjvrck
language : en
Publisher:
Release Date : 1996

Numerical Methods Least Squares Problems written by EE Bjvrck and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.

Journal Of Research Of The National Bureau Of Standards

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Author : United States. National Bureau of Standards
language : en
Publisher:
Release Date : 1969

Journal Of Research Of The National Bureau Of Standards written by United States. National Bureau of Standards and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Chemistry categories.