Numerical Methods for Least Squares Problems

Åke Björck

ISBN 10: 0898713609 / ISBN 13: 9780898713602

Published by CAMBRIDGE, 1996

InhaltsverzeichnisPreface 1. Mathematical and statistical properties of least squares solutions 2. Basic numerical methods 3. Modified least squares problems 4. Generalized least squares problems 5. Constrained least squares problem. Seller Inventory # 898975775

Synopsis:

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

Review: '...This book, which was written by a celebrated person in the field, has become a monumental work ... Altogether, very clearly written and a must for everyone who is interested in least squares, as well as all mathematics libraries.' Bob Matheij, ITW Nieuws

'...Until now there has not been a monograph covering the full spectrum of methods and applications in least squares. ...This book is a great masterpiece that will serve as a reference for many years. It must be on the shelves of every numerical analyst, computational scientist and engineer, statistician and electrical engineer.' Claude Brejinski, Numerical Algorithms

'This monograph covers the full spectrum of relevant problems and up-to-date methods in least squares ... a milestone in numerical linear algebra ...' H. Späth, Zentrallblatt für Mathematik

' ... The author has done a superb job of including the most recent research results, many of which are presented here for the first time in book form. The bibliography is comprehensive and contains more than eight hundred entries. The emphasis of the book is on linear least squares problems, but it also contains a chapter on surveying numerical methods for nonlinear problems.' Hongyuan Zha, Mathematical Reviews

'This book gives a very broad coverage of linear least squares problems. Detailed descriptions are provided for the best algorithms to use and the current literature, with some identification of software availability. No examples are given, and there are few graphs, but the detailed information about methods and algorithms makes this an excellent book ... If you are going to solve a least squares problem of any magnitude, you need Numerical Methods for Least Squares Problems ...' B. A. Finlayson, Applied Mechanics Review

"A comprehensive and up-to-date treatment that includes many recent developments. In addition to basic methods, it covers methods for modified and generalized least squares problems, and direct and iterative methods for sparse problems." -Arnold M. Ostebee, The American Mathematical Monthly, January 1997.

"Bjorck is an expert on least squares problems....This volume surveys numerical methods for these problems. ...its strength is in the detailed discussion of least squares problems and of their various solution techniques." -B. Borchers, CHOICE, Vol. 34, No. 3, November 1996.

Bibliographic Details

Title: Numerical Methods for Least Squares Problems
Publisher: CAMBRIDGE
Publication Date: 1996
Binding: Soft cover
Condition: New