Numerical Methods for Least Squares Problems

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Release : 1996-01-01
Genre : Mathematics
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Book Rating : 484/5 ( reviews)

Numerical Methods for Least Squares Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numerical Methods for Least Squares Problems write by Ake Bjorck. This book was released on 1996-01-01. Numerical Methods for Least Squares Problems available 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.

Algorithms for Nonlinear Least Squares

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Release : 1983
Genre :
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Algorithms for Nonlinear Least Squares - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algorithms for Nonlinear Least Squares write by Per Lindstroem. This book was released on 1983. Algorithms for Nonlinear Least Squares available in PDF, EPUB and Kindle.

Algorithms for Nonlinear Least-squares Problems

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Release : 1988
Genre : Algorithms
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Algorithms for Nonlinear Least-squares Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algorithms for Nonlinear Least-squares Problems write by Stanford University Center for Large Scale Scientific Computation. This book was released on 1988. Algorithms for Nonlinear Least-squares Problems available in PDF, EPUB and Kindle. Abstract: "This paper addresses the nonlinear least-squares problem min [formula], where f(x) is a vector in [symbol] whose components are smooth nonlinear functions. The problem arises most often in data fitting applications. Much research has focused on the development of specialized algorithms that attempt to exploit the structure of the nonlinear least-squares objective. We survey numerical methods developed for problems in which sparsity in the derivatives of f is not taken into account in formulationg algorithms."

Solving Least Squares Problems

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Release : 1995-12-01
Genre : Mathematics
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Book Rating : 560/5 ( reviews)

Solving Least Squares Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Solving Least Squares Problems write by Charles L. Lawson. This book was released on 1995-12-01. Solving Least Squares Problems available 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.

Introduction To Numerical Computation, An (Second Edition)

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Release : 2019-08-28
Genre : Mathematics
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Book Rating : 438/5 ( reviews)

Introduction To Numerical Computation, An (Second Edition) - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction To Numerical Computation, An (Second Edition) write by Wen Shen. This book was released on 2019-08-28. Introduction To Numerical Computation, An (Second Edition) available in PDF, EPUB and Kindle. This book serves as a set of lecture notes for a senior undergraduate level course on the introduction to numerical computation, which was developed through 4 semesters of teaching the course over 10 years. The book requires minimum background knowledge from the students, including only a three-semester of calculus, and a bit on matrices.The book covers many of the introductory topics for a first course in numerical computation, which fits in the short time frame of a semester course. Topics range from polynomial approximations and interpolation, to numerical methods for ODEs and PDEs. Emphasis was made more on algorithm development, basic mathematical ideas behind the algorithms, and the implementation in Matlab.The book is supplemented by two sets of videos, available through the author's YouTube channel. Homework problem sets are provided for each chapter, and complete answer sets are available for instructors upon request.The second edition contains a set of selected advanced topics, written in a self-contained manner, suitable for self-learning or as additional material for an honored version of the course. Videos are also available for these added topics.