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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Print version: (DLC) 96003908 |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Åke Björck; Society for Industrial and Applied Mathematics. |

ISBN: | 9781611971484 1611971489 |

OCLC Number: | 722507012 |

Notes: | Title from title screen, viewed 04/05/2011. |

Description: | 1 electronic text (xvii, 408 pages) : illustrations, digital file |

Contents: | Chapter 1. Mathematical and statistical properties of least squares solutions -- Chapter 2. Basic numerical methods -- Chapter 3. Modified least squares problems -- Chapter 4. Generalized least squares problems -- Chapter 5. Constrained least squares problems -- Chapter 6. Direct methods for sparse least squares problems -- Chapter 7. Iterative methods for least squares problems -- Chapter 8. Least squares with special bases -- Chapter 9. Nonlinear least squares problems -- References -- Bibliography. |

Responsibility: | Åke Björck. |

More information: |

### Abstract:

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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