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On the eigenvalues which express antieigenvalues

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  • Morteza Seddighin
  • Karl Gustafson

Abstract

We showed previously that the first antieigenvalue and the components of the first antieigenvectors of an accretive compact normal operator can be expressed either by a pair of eigenvalues or by a single eigenvalue of the operator. In this paper, we pin down the eigenvalues of T that express the first antieigenvalue and the components of the first antieigenvectors. In addition, we will prove that the expressions which state the first antieigenvalue and the components of the first antieigenvectors are unambiguous. Finally, based on these new results, we will develop an algorithm for computing higher antieigenvalues.

Suggested Citation

  • Morteza Seddighin & Karl Gustafson, 2005. "On the eigenvalues which express antieigenvalues," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-12, January.
    • Handle: RePEc:hin:jijmms:145384
    DOI: 10.1155/IJMMS.2005.1543
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    Cited by:

    1. Morteza Seddighin, 2012. "Approximations of Antieigenvalue and Antieigenvalue-Type Quantities," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-15, December.

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