Skip to main content
SpringerLink
Log in

Papers on the Eigenproblem and Invariant Subspaces: Perturbation Theory

  • Chapter
G.W. Stewart

Part of the book series: Contemporary Mathematicians ((CM))

  • 1407 Accesses

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. C. Davis andW. Kahan, The rotation of eigenvectors by a perturbation. III, this Journal, 7 (1970), pp. 1–46.

    MathSciNet  MATH  Google Scholar 

  2. G. Lumer andM. Rosenblum, Linear operator equations, Proc. Amer. Math. Soc., 10 (1969), pp. 32–41.

    Article  MathSciNet  Google Scholar 

  3. N. Dunford andJ. Schwartz, Linear Operators, Part II, Interscience, New York, 1963.

    MATH  Google Scholar 

  4. F. Riesz andB. Sz.-Nagy, Functional Analysis, Frederick Ungar, New York, 1955.

    Google Scholar 

  5. M. Rosenblum, On the operator equation BX – XA = Q, Duke Math. J., 23 (1956), pp. 263–269.

    Article  MathSciNet  MATH  Google Scholar 

  6. A. Ruhe, An algorithm for numerical determination of the structure of a general matrix, BIT, 10 (1970), pp. 196–216.

    Article  MathSciNet  MATH  Google Scholar 

  7. ——, Perturbation bounds for means of eigenvalues and invariant subspaces, Ibid., 10 (1970), pp. 343–354.

    Google Scholar 

  8. J. M. Varah, The computation of bounds for the invariant subspaces of a general matrix operator, Tech. Rep. CS66, Stanford Univ., Stanford, Calif., 1967.

    Google Scholar 

  9. J. H. Wilkinson, The Algebraic Eigenvalue Problem, Clarendon, Oxford, 1965.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Tufts University, Medford, MA, 02155, USA

    Misha E. Kilmer

  2. Computer Science Department and Institute for Advanced Computer Studies, University of Maryland, College Park, MD, 20742, USA

    Dianne P. O’Leary

Authors
  1. Misha E. Kilmer
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Dianne P. O’Leary
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Misha E. Kilmer .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Tufts University, Medford, 02155, MA, USA

    Misha E. Kilmer

  2. Computer Science Department and Institute for Advanced Computer Studies, University of Maryland, College Park, 20742, MD, USA

    Dianne P. O’Leary

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer Science+Business Media, LLC

About this chapter

Cite this chapter

Kilmer, M.E., O’Leary, D.P. (2010). Papers on the Eigenproblem and Invariant Subspaces: Perturbation Theory. In: Kilmer, M.E., O’Leary, D.P. (eds) G.W. Stewart. Contemporary Mathematicians. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-4968-5_15

Download citation

Publish with us

Policies and ethics

Search

Navigation