Perturbation Bounds for Matrix Eigenvalues

Paperback Engels 2007 9780898716313
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Contains a unified exposition of spectral variation inequalities for matrices. The text provides a complete and self-contained collection of bounds for the distance between the eigenvalues of two matrices, which could be arbitrary or restricted to specific classes. Many basic results and techniques can be found in this book, making it a good reference for researchers and students.

For the SIAM Classics edition, the author has added a new Supplements section, which includes recent results and discusses the important advances made in the study of theory, results, and proof techniques of spectral variation problems in the two decades since the book’s original publication.

Specificaties

ISBN13:9780898716313
Taal:Engels
Bindwijze:Paperback
Aantal pagina's:206
Uitgever:Society for Industrial & Applied Mathematics,U.S.

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Inhoudsopgave

  • Preface to the Classics Edition
  • Preface
  • Introduction
  • Chapter1: Preliminaries
  • Chapter 2: Singular values and norms
  • Chapter 3: Spectral variation of Hermitian matrices
  • Chapter 4: Spectral variation of normal matrices
  • Chapter 5: The general spectral variation problem
  • Chapter 6: Arbitrary perturbations of constrained matrices
  • Postscripts
  • References
  • Supplements 1986–2006
  • Chapter 7: Singular values and norms
  • Chapter 8: Spectral variation of Hermitian matrices
  • Chapter 9: Spectral variation of normal matrices
  • Chapter 10: Spectral variation of diagonalizable matrices
  • Chapter 11: The general spectral variation problem
  • Chapter 12: Arbitrary perturbations of constrained matrices
  • Chapter 13: Related Topics
  • Bibliography
  • Errata.

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