8. Matrices and Eigenvalues

  1. Won Young Yang1,
  2. Wenwu Cao2,
  3. Tae-Sang Chung1 and
  4. John Morris3

Published Online: 27 JAN 2005

DOI: 10.1002/0471705195.ch8

Applied Numerical Methods Using MATLAB®

Applied Numerical Methods Using MATLAB®

How to Cite

Yang, W. Y., Cao, W., Chung, T.-S. and Morris, J. (2005) Matrices and Eigenvalues, in Applied Numerical Methods Using MATLAB®, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471705195.ch8

Author Information

  1. 1

    Chung-Ang University, Korea

  2. 2

    Pennsylvania State University, USA

  3. 3

    The University of Auckland, New Zealand

Publication History

  1. Published Online: 27 JAN 2005
  2. Published Print: 14 JAN 2005

ISBN Information

Print ISBN: 9780471698333

Online ISBN: 9780471705192

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Keywords:

  • eigenvalue;
  • eigenvector;
  • interpolation;
  • similarity transformation;
  • diagonalization scaled power method;
  • inverse power method;
  • shifted inverse power method;
  • Jacobi method;
  • eigenvalue problem

Summary

It introduces the eigenvalue and its corresponding eigenvector of a matrix together with their physical meaning and application to solve eigenvalue BVPs.