Use Of Singular Value Decomposition In The Least Squares Problem
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Author | : Felice Lyn Oppenheim Burchfield |
Publisher | : |
Total Pages | : 160 |
Release | : 1980 |
Genre | : |
ISBN | : |
Download Use of Singular Value Decomposition in the Least Squares Problem Book in PDF, Epub and Kindle
Author | : John H. Wilkinson |
Publisher | : Springer Science & Business Media |
Total Pages | : 450 |
Release | : 2012-12-06 |
Genre | : Computers |
ISBN | : 3642869408 |
Download Handbook for Automatic Computation Book in PDF, Epub and Kindle
The development of the internationally standardized language ALGOL has made it possible to prepare procedures which can be used without modification whenever a computer with an ALGOL translator is available. Volume Ia in this series gave details of the restricted version of ALGOL which is to be employed throughout the Handbook, and volume Ib described its implementation on a computer. Each of the subsequent volumes will be devoted to a presentation of the basic algorithms in some specific areas of numerical analysis. This is the first such volume and it was feIt that the topic Linear Algebra was a natural choice, since the relevant algorithms are perhaps the most widely used in numerical analysis and have the advantage of forming a weil defined dass. The algorithms described here fall into two main categories, associated with the solution of linear systems and the algebraic eigenvalue problem respectively and each set is preceded by an introductory chapter giving a comparative assessment.
Author | : Charles L. Lawson |
Publisher | : SIAM |
Total Pages | : 348 |
Release | : 1995-12-01 |
Genre | : Mathematics |
ISBN | : 0898713560 |
Download Solving Least Squares Problems Book in PDF, Epub and Kindle
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 | : Steven L. Brunton |
Publisher | : Cambridge University Press |
Total Pages | : 615 |
Release | : 2022-05-05 |
Genre | : Computers |
ISBN | : 1009098489 |
Download Data-Driven Science and Engineering Book in PDF, Epub and Kindle
A textbook covering data-science and machine learning methods for modelling and control in engineering and science, with Python and MATLAB®.
Author | : John HENRY WILKINSON |
Publisher | : Springer |
Total Pages | : 450 |
Release | : 2013-12-17 |
Genre | : Mathematics |
ISBN | : 3662397781 |
Download Linear Algebra Book in PDF, Epub and Kindle
Author | : James W. Demmel |
Publisher | : SIAM |
Total Pages | : 426 |
Release | : 1997-08-01 |
Genre | : Mathematics |
ISBN | : 0898713897 |
Download Applied Numerical Linear Algebra Book in PDF, Epub and Kindle
This comprehensive textbook is designed for first-year graduate students from a variety of engineering and scientific disciplines.
Author | : Sabine Van Huffel |
Publisher | : SIAM |
Total Pages | : 302 |
Release | : 1991-01-01 |
Genre | : Mathematics |
ISBN | : 0898712750 |
Download The Total Least Squares Problem Book in PDF, Epub and Kindle
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 | : Gene H. Golub |
Publisher | : |
Total Pages | : 38 |
Release | : 1969 |
Genre | : |
ISBN | : |
Download Singular value decomposition and least squares solutions Book in PDF, Epub and Kindle
Author | : James Bisgard |
Publisher | : American Mathematical Soc. |
Total Pages | : 217 |
Release | : 2020-10-19 |
Genre | : Education |
ISBN | : 1470463326 |
Download Analysis and Linear Algebra: The Singular Value Decomposition and Applications Book in PDF, Epub and Kindle
This book provides an elementary analytically inclined journey to a fundamental result of linear algebra: the Singular Value Decomposition (SVD). SVD is a workhorse in many applications of linear algebra to data science. Four important applications relevant to data science are considered throughout the book: determining the subspace that “best” approximates a given set (dimension reduction of a data set); finding the “best” lower rank approximation of a given matrix (compression and general approximation problems); the Moore-Penrose pseudo-inverse (relevant to solving least squares problems); and the orthogonal Procrustes problem (finding the orthogonal transformation that most closely transforms a given collection to a given configuration), as well as its orientation-preserving version. The point of view throughout is analytic. Readers are assumed to have had a rigorous introduction to sequences and continuity. These are generalized and applied to linear algebraic ideas. Along the way to the SVD, several important results relevant to a wide variety of fields (including random matrices and spectral graph theory) are explored: the Spectral Theorem; minimax characterizations of eigenvalues; and eigenvalue inequalities. By combining analytic and linear algebraic ideas, readers see seemingly disparate areas interacting in beautiful and applicable ways.
Author | : Ake Bjorck |
Publisher | : SIAM |
Total Pages | : 425 |
Release | : 1996-01-01 |
Genre | : Mathematics |
ISBN | : 9781611971484 |
Download Numerical Methods for Least Squares Problems Book in PDF, Epub and Kindle
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.