eigenvalue

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In the following we refer to the first eigenvector as the eigenvector corresponding to the eigenvalue, each Mij can be approximated by the first contribution only: and Enb can be approximated by Analysis of the N components of the eigenvector associated with the lowest eigenvalue

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Definitions (1)

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  1. (mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant

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Examples (32)

  • An eigenvalue is a number that tells you something about how a system responds when you disturb its equilibrium. —  F ;SF; - vol 087 issue 03 - September 1994
  • How do you show that for an nxn matrix A the eigenvalue being x, has an inverse and its eigenvalue is 1 / x? —  Yahoo! Answers: Latest Questions
  •  One eigenvector is a uniform  superposition of all | S > | k >, k s S, with eigenvalue 1. —  Recently Uploaded Slideshows
  • Generalized matrix inversion is not harder than matrix multiplication ai amg bc bi compiler datastructures decidability discretization eigenvalue fem functional green haskell irregular java krylov math neural-networks numerical optimization parallel photography physic poisson precond profiling simulation verification vm wake CiteULike organises scholarly (or academic) papers or literature and provides bibliographic (which means it makes bibliographies) for universities and higher education establishments. —  CiteULike: Everyone's library
  • Apparently, the single-photon state is an eigenstate of the momentum operator, and is the eigenvalue (the momentum of a single photon). —  Citizendium, the Citizens' Compendium - Recent changes [en]
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