Numerical Methods for Least Squares Problems

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9780898713602: Numerical Methods for Least Squares Problems

The method of least squares was discovered by Gauss in 1795 and has since become the principal tool for reducing 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 and tremendous progress has been made in numerical methods for least squares 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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Book Description:

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

About the Author:

Ake Bjorck is Professor of Mathematics at Linkoping University in Sweden. He has coauthored the wellknown textbook Numerical Methods with Germund Dahlquist and has published more than 50 technical papers. He is the managing editor of BIT and has served on the editorial boards of many other prominent international journals. He has been a member of SIAM since 1969.

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1.

Ake Bjorck
Editore: Society for Industrial Applied Mathematics,U.S., United States (1996)
ISBN 10: 0898713609 ISBN 13: 9780898713602
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Descrizione libro Society for Industrial Applied Mathematics,U.S., United States, 1996. Paperback. Condizione libro: New. Language: English . Brand New Book. The method of least squares was discovered by Gauss in 1795. It has since become the principal tool for reducing 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.Special Features:* Discusses recent methods, many of which are still described only in the research literature. * Provides a comprehensive up-to-date survey of problems and numerical methods in least squares computation and their numerical properties.* Collects recent research results and covers methods for treating very large and sparse problems with both direct and iterative methods.* Covers updating of solutions and factorizations as well as methods for generalized and constrained least squares problems. A solid understanding of numerical linear algebra is needed for the more advanced sections. However, many of the chapters are more elementary and because basic facts and theorems are given in an introductory chapter, the book is partly self-contained. Codice libro della libreria AAN9780898713602

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Descrizione libro Society for Industrial and Applied Mathematics, 1996. PAP. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria CE-9780898713602

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Ake Bjorck
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Descrizione libro Society for Industrial Applied Mathematics,U.S., United States, 1996. Paperback. Condizione libro: New. Language: English . Brand New Book. The method of least squares was discovered by Gauss in 1795. It has since become the principal tool for reducing 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.Special Features:* Discusses recent methods, many of which are still described only in the research literature. * Provides a comprehensive up-to-date survey of problems and numerical methods in least squares computation and their numerical properties.* Collects recent research results and covers methods for treating very large and sparse problems with both direct and iterative methods.* Covers updating of solutions and factorizations as well as methods for generalized and constrained least squares problems. A solid understanding of numerical linear algebra is needed for the more advanced sections. However, many of the chapters are more elementary and because basic facts and theorems are given in an introductory chapter, the book is partly self-contained. Codice libro della libreria AAN9780898713602

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Descrizione libro Society for Industrial & Applied Mathematics,U.S. Paperback. Condizione libro: new. BRAND NEW, Numerical Methods for Least Squares Problems, Ake Bjorck, The method of least squares was discovered by Gauss in 1795 and has since become the principal tool for reducing 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 and tremendous progress has been made in numerical methods for least squares 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. Codice libro della libreria B9780898713602

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Descrizione libro Society for Industrial & Applied, 1996. Paperback. Condizione libro: Brand New. 1st edition. 408 pages. 10.25x7.00x1.00 inches. In Stock. Codice libro della libreria __0898713609

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Descrizione libro SIAM: Society for Industrial and Applied Mathematics, 1996. Paperback. Condizione libro: New. 1. Codice libro della libreria DADAX0898713609

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Descrizione libro Soc Industrial Applied Maths, 1996. Paperback. Condizione libro: NEW. 9780898713602 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Codice libro della libreria HTANDREE01294579

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Descrizione libro SIAM: Society for Industrial and Applied Mathematics, 1996. Paperback. Condizione libro: New. book. Codice libro della libreria 0898713609

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Descrizione libro SIAM: Society for Industrial a, 1996. Paperback. Condizione libro: New. Codice libro della libreria P110898713609

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Descrizione libro Society for Industrial and Applied Mathematics, SIAM. PAPERBACK. Condizione libro: New. 0898713609 New Condition. Codice libro della libreria NEW6.0603815

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