Characteristic Roots and Related Topics

  • Richard M. Meyer
Part of the Universitext book series (UTX)


The solutions of many problems in Applied Mathematics involve the so-called characteristic roots of a related matrix. Here we consider some of the important properties and concepts related to characteristic roots.


Characteristic Vector Characteristic Equation Real Vector Orthogonal Matrix Complex Scalar 
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References to Additional and Related Material: Section 17

  1. 1.
    Browne, E., “Introduction to the Theory of Determinants and Matrices”, University of North Carolina Press (1958).zbMATHGoogle Scholar
  2. 2.
    Finkbeiner, D., “Introduction to Matrices and Linear Transformations”, W. H. Freeman and Co., Inc. (1960).zbMATHGoogle Scholar
  3. 3.
    Gantmacher, F., “The Theory of Matrices”, Chelsea Publishing Co. (1959).zbMATHGoogle Scholar
  4. 4.
    Graybill, F., “Introduction to Matrices with Applications in Statistics”, Wadsworth Publishing Co. (1969).Google Scholar
  5. 5.
    Hammarling, S., “Latent Roots and Latent Vectors”, University of Toronto Press (1970).Google Scholar
  6. 6.
    Schwartz, J., “Introduction to Matrices and Vectors”, McGraw-Hill, Inc. (1961).Google Scholar
  7. 7.
    Turnbull, H., “Theory of Determinants, Matrices and Invariants”, Dover Publications, Inc.Google Scholar

Copyright information

© Springer-Verlag New York Inc. 1979

Authors and Affiliations

  • Richard M. Meyer
    • 1
  1. 1.Niagara University, College of Arts and SciencesNiagara UniversityUSA

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