Chapter 3. The Eigenvalue Problem

  1. Granville Sewell

Published Online: 8 SEP 2005

DOI: 10.1002/0471742147.ch3

Book Title

Computational Methods of Linear Algebra, Second Edition

Computational Methods of Linear Algebra, Second Edition

Additional Information

How to Cite

Sewell, G. (2005) The Eigenvalue Problem, in Computational Methods of Linear Algebra, Second Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471742147.ch3

Author Information

  1. Texas A&M University, Mathematics Department, College Station, Texas and University of Texas-El Paso, El Paso, Texas

Publication History

  1. Published Online: 8 SEP 2005
  2. Published Print: 8 JUL 2005

ISBN Information

Print ISBN: 9780471735793

Online ISBN: 9780471742142

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CHAPTER TOOLS

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Keywords:

  • eigenvalue problem;
  • Jacobi method;
  • symmetric methods;
  • QR method;
  • general real matrices

Summary

This chapter contains sections titled:

  • Introduction

  • The Jacobi Method for Symmetric Matrices

  • The QR Method for General Real Matrices

  • Alternative Methods for General Matrices

  • The Power and Inverse Power Methods

  • The Generalized Eigenvalue Problem

  • Problems

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