Solving Least Squares Problems
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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.
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 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.
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Author :
language : en
Publisher: EduGorilla Community Pvt. Ltd.
Release Date :
written by and has been published by EduGorilla Community Pvt. Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Scientific Computing
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Author : John A. Trangenstein
language : en
Publisher: Springer
Release Date : 2018-05-14
Scientific Computing written by John A. Trangenstein and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-14 with Mathematics categories.
This is the first of three volumes providing a comprehensive presentation of the fundamentals of scientific computing. This volume discusses basic principles of computation, and fundamental numerical algorithms that will serve as basic tools for the subsequent two volumes. This book and its companions show how to determine the quality of computational results, and how to measure the relative efficiency of competing methods. Readers learn how to determine the maximum attainable accuracy of algorithms, and how to select the best method for computing problems. This book also discusses programming in several languages, including C++, Fortran and MATLAB. There are 80 examples, 324 exercises, 77 algorithms, 35 interactive JavaScript programs, 391 references to software programs and 4 case studies. Topics are introduced with goals, literature references and links to public software. There are descriptions of the current algorithms in LAPACK, GSLIB and MATLAB. This book could be used for an introductory course in numerical methods, for either upper level undergraduates or first year graduate students. Parts of the text could be used for specialized courses, such as principles of computer languages or numerical linear algebra.
Kwic Index For Numerical Algebra
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Author : Alston Scott Householder
language : en
Publisher:
Release Date : 1972
Kwic Index For Numerical Algebra written by Alston Scott Householder and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Algebra categories.
Journal Of Research Of The National Institute Of Standards And Technology
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Author :
language : en
Publisher:
Release Date : 2006
Journal Of Research Of The National Institute Of Standards And Technology written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Measurement categories.
Reports NIST research and development in the physical and engineering sciences in which the Institute is active. These include physics, chemistry, engineering, mathematics, and computer sciences. Emphasis on measurement methodology and the basic technology underlying standardization.
Qrd Rls Adaptive Filtering
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Author : JOSE APOLINARIO JR
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-05
Qrd Rls Adaptive Filtering written by JOSE APOLINARIO JR and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-05 with Technology & Engineering categories.
I feel very honoured to have been asked to write a brief foreword for this book on QRD-RLS Adaptive Filtering–asubjectwhichhas been close to my heart for many years. The book is well written and very timely – I look forward personally to seeing it in print. The editor is to be congratulated on assembling such a highly esteemed team of contributing authors able to span the broad range of topics and concepts which underpin this subject. In many respects, and for reasons well expounded by the authors, the LMS al- rithm has reigned supreme since its inception, as the algorithm of choice for prac- cal applications of adaptive ltering. However, as a result of the relentless advances in electronic technology, the demand for stable and ef cient RLS algorithms is growing rapidly – not just because the higher computational load is no longer such a serious barrier, but also because the technological pull has grown much stronger in the modern commercial world of 3G mobile communications, cognitive radio, high speed imagery, and so on.
Convex Optimization
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Author : Stephen P. Boyd
language : en
Publisher: Cambridge University Press
Release Date : 2004-03-08
Convex Optimization written by Stephen P. Boyd 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 2004-03-08 with Business & Economics categories.
Convex optimization problems arise frequently in many different fields. This book provides a comprehensive introduction to the subject, and shows in detail how such problems can be solved numerically with great efficiency. The book begins with the basic elements of convex sets and functions, and then describes various classes of convex optimization problems. Duality and approximation techniques are then covered, as are statistical estimation techniques. Various geometrical problems are then presented, and there is detailed discussion of unconstrained and constrained minimization problems, and interior-point methods. The focus of the book is on recognizing convex optimization problems and then finding the most appropriate technique for solving them. It contains many worked examples and homework exercises and will appeal to students, researchers and practitioners in fields such as engineering, computer science, mathematics, statistics, finance and economics.
Computational Issues In High Performance Software For Nonlinear Optimization
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Author : Almerico Murli
language : en
Publisher: Springer
Release Date : 2007-06-14
Computational Issues In High Performance Software For Nonlinear Optimization written by Almerico Murli and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-14 with Business & Economics categories.
Computational Issues in High Performance Software for Nonlinear Research brings together in one place important contributions and up-to-date research results in this important area. Computational Issues in High Performance Software for Nonlinear Research serves as an excellent reference, providing insight into some of the most important research issues in the field.