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Eigenpairs and Similarity Transformations

  • Tom Lyche
Chapter
  • 201 Downloads
Part of the Texts in Computational Science and Engineering book series (TCSE, volume 22)

Abstract

We have seen that a Hermitian matrix is positive definite if and only if it has positive eigenvalues. Eigenvalues and some related quantities called singular values occur in many branches of applied mathematics and are also needed for a deeper study of linear systems and least squares problems.

References

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    G.W. Stewart, J. Sun, Matrix Perturbation Theory (Academic Press, San Diego, 1990)zbMATHGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Tom Lyche
    • 1
  1. 1.Blindern, University of OsloOsloNorway

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