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Chapter 3. The Least Squares Problem

  1. David S. Watkins

Published Online: 28 JAN 2005

DOI: 10.1002/0471249718.ch3

Fundamentals of Matrix Computations, Second Edition

Fundamentals of Matrix Computations, Second Edition

How to Cite

Watkins, D. S. (2005) The Least Squares Problem, in Fundamentals of Matrix Computations, Second Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471249718.ch3

Author Information

  1. Pullman, Washington, USA

Publication History

  1. Published Online: 28 JAN 2005
  2. Published Print: 10 MAY 2002

Book Series:

  1. Pure and Applied Mathematics

Book Series Editors:

  1. Myron B. Allen III,
  2. David A. Cox,
  3. Peter Lax

ISBN Information

Print ISBN: 9780471213949

Online ISBN: 9780471249719

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Keywords:

  • least squares problem;
  • permutation matrix;
  • Gram–Schmidt orthonormalization process

Summary

This chapter contains sections titled:

  • The Discrete Least Squares Problem

  • Orthogonal Matrices, Rotators, and Reflectors

  • Solution of the Least Squares Problem

  • The Gram-Schmidt Process

  • Geometric Approach

  • Updating the QR Decomposition