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词条 Pseudospectrum
释义

  1. References

In mathematics, the pseudospectrum of an operator is a set containing the spectrum of the operator and the numbers that are "almost" eigenvalues. Knowledge of the pseudospectrum can be particularly useful for understanding non-normal operators and their eigenfunctions.

The ε-pseudospectrum of a matrix A consists of all eigenvalues of matrices which are ε-close to A:[1]

Numerical algorithms which calculate the eigenvalues of a matrix give only approximate results due to rounding and other errors. These errors can be described with the matrix E.

References

1. ^{{cite book|last1=Hogben|first1=Leslie|title=Handbook of Linear Algebra, Second Edition|date=2013|publisher=CRC Press|isbn=9781466507296|page=23-1|url=https://books.google.com/books?id=Er7MBQAAQBAJ&pg=SA23-PA18&dq=pseudospectrum&hl=en&sa=X&ved=0ahUKEwj11Ke34ZTWAhXJgFQKHbtZBbkQ6AEIQzAE#v=onepage&q=pseudospectrum&f=false|accessdate=8 September 2017|language=en}}
  • Pseudospectra Gateway / Embree and Trefethen  
{{Numerical linear algebra}}

2 : Numerical linear algebra|Spectral theory

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