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Lambda Matrices and General Eigenvalue Problems

  • Chong-Won Lee
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 21)

Abstract

In this chapter, we pick out those ideas in the theory of Lambda matrices which are relevant to this book so that we may refer to them in later chapters. The chapter summarizes the basic ideas of the theory presented by Lancaster[1], and readers interested in the rigorous theory and its developments may refer to that book. Here we will not prove theorems, but merely give examples to help the reader to understand the theorems.

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References

  1. 1.
    P. Lancaster, Lambda—matrices and Vibrating Systems, Pergamon Press, 1966.Google Scholar
  2. 2.
    I. Stakgold, Boundary Value Problems of Mathematical Physics, Vol. I, The Macmillan Company, London, 1967, Chapter 2.zbMATHGoogle Scholar
  3. 3.
    W. L. Brogan, Modern Control Theory, Quantum Publishers, Inc., 1974.Google Scholar
  4. 4.
    F. R. Gantmacher, The Theory of Matrices, Vol. I & II, Chelsea, 1959.zbMATHGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1993

Authors and Affiliations

  • Chong-Won Lee
    • 1
  1. 1.Center for Noise and Vibration Control (NOVIC), Department of Mechanical EngineeringKorea Advanced Institute of Science and TechnologyTaejonKorea

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