eigenvalue

IPA: ˈaɪgʌnvæɫju

noun

  • (linear algebra) A scalar, λ, such that there exists a non-zero vector x (a corresponding eigenvector) for which the image of x under a given linear operator A is equal to the image of x under multiplication by λ; i.e. Ax=λx.
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Examples of "eigenvalue" in Sentences

  • Similarly for the eigenvalue, e.g.
  • Relation to eigenvalue decomposition.
  • The eigenvalue problem on an edge is,
  • This is a classic eigenvalue problem.
  • Cheng's eigenvalue comparison theorem.
  • The diagonal elements are the eigenvalues.
  • The roots are the eigenvalues of the operator.
  • The eigenvalue decomposition is used for the ...
  • Connection to a determinant or a product of eigenvalues.
  • Irreversible time evolution takes the eigenvalues off the unit circle.

Related Links

synonyms for eigenvaluedescribing words for eigenvalue
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