Complete Orthogonal Decomposition For Weighted Least Squares
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Complete Orthogonal Decomposition For Weighted Least Squares
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Author : Patricia D. Hough
language : en
Publisher:
Release Date : 1994
Complete Orthogonal Decomposition For Weighted Least Squares written by Patricia D. Hough and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Least squares categories.
Stable And Efficient Solution Of Weighted Least Squares Problems With Applications In Interior Point Methods
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Author : Patricia D. Hough
language : en
Publisher:
Release Date : 1996
Stable And Efficient Solution Of Weighted Least Squares Problems With Applications In Interior Point Methods written by Patricia D. Hough and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Least squares categories.
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.
Least Squares Data Fitting With Applications
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Author : Per Christian Hansen
language : en
Publisher: JHU Press
Release Date : 2013-01-15
Least Squares Data Fitting With Applications written by Per Christian Hansen and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-15 with Mathematics categories.
A lucid explanation of the intricacies of both simple and complex least squares methods. As one of the classical statistical regression techniques, and often the first to be taught to new students, least squares fitting can be a very effective tool in data analysis. Given measured data, we establish a relationship between independent and dependent variables so that we can use the data predictively. The main concern of Least Squares Data Fitting with Applications is how to do this on a computer with efficient and robust computational methods for linear and nonlinear relationships. The presentation also establishes a link between the statistical setting and the computational issues. In a number of applications, the accuracy and efficiency of the least squares fit is central, and Per Christian Hansen, Víctor Pereyra, and Godela Scherer survey modern computational methods and illustrate them in fields ranging from engineering and environmental sciences to geophysics. Anyone working with problems of linear and nonlinear least squares fitting will find this book invaluable as a hands-on guide, with accessible text and carefully explained problems. Included are • an overview of computational methods together with their properties and advantages • topics from statistical regression analysis that help readers to understand and evaluate the computed solutions • many examples that illustrate the techniques and algorithms Least Squares Data Fitting with Applications can be used as a textbook for advanced undergraduate or graduate courses and professionals in the sciences and in engineering.
Matrix Computations
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Author : Gene Howard Golub
language : en
Publisher: JHU Press
Release Date : 2013-02-15
Matrix Computations written by Gene Howard 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 2013-02-15 with Mathematics categories.
This revised edition provides the mathematical background and algorithmic skills required for the production of numerical software. It includes rewritten and clarified proofs and derivations, as well as new topics such as Arnoldi iteration, and domain decomposition methods.
Numerical Analysis 1997
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Author : D.F. Griffiths
language : en
Publisher: CRC Press
Release Date : 1997-12-05
Numerical Analysis 1997 written by D.F. Griffiths and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-12-05 with Mathematics categories.
This book forms a valuable guide to the direction in which current numerical analysis research is heading. It will be of particular interest to graduate students and researchers concerned with the theoretical and practical issues associated with scientific computation. The main topics include ordinary and partial differential equations, fluid flow, optimization, linear algebra, and approximation theory. Two recurring themes are the need for adaptive and structure preserving numerical methods. The work presented here has a list of direct applications that include colliding black holes, molecular dynamics, blow-up problems, and card shuffling.
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.
Siam Journal On Matrix Analysis And Applications
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Author :
language : en
Publisher:
Release Date : 1997
Siam Journal On Matrix Analysis And Applications written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
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.