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 Translation for 'eigenvalue' from English to Hungarian
NOUN   an eigenvalue | eigenvalues
SYNO characteristic root of a square matrix | eigenvalue | eigenvalue of a matrix | ...
mate.
sajátérték {noun}
eigenvalue
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Translation for 'eigenvalue' from English to Hungarian

eigenvalue
sajátérték {noun}mate.
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Usage Examples English
  • has one eigenvalue (namely zero) and this eigenvalue has algebraic multiplicity 2 and geometric multiplicity 1.
  • Thus, six columns of C corresponding to eigenvalue zero are determined algebraically.
  • But this one can now be considered as an eigenvector-eigenvalue problem.
  • Some care is required at this stage because, when an eigenvalue is repeated, it is in general only Gateaux differentiable, but not Fréchet differentiable.
  • The algebraic connectivity (also known as Fiedler value or Fiedler eigenvalue after Miroslav Fiedler) of a graph "G" is the second-smallest eigenvalue (counting multiple eigenvalues separately) of the Laplacian matrix of "G".

  • In mathematics, the Bauer–Fike theorem is a standard result in the perturbation theory of the eigenvalue of a complex-valued diagonalizable matrix.
  • In the case that the eigenspace for eigenvalue 1 is the orthogonal complement of that for eigenvalue −1, i.e., every eigenvector with eigenvalue 1 is orthogonal to every eigenvector with eigenvalue −1, such an affine involution is an isometry.
  • In using these criteria, one must be careful to ensure that the largest eigenvalue belongs to a "timelike" eigenvector, since there are Lorentzian manifolds, satisfying this eigenvalue criterion, in which the large eigenvalue belongs to a "spacelike" eigenvector, and these cannot represent radiation fluids.
  • Recalling that "ω" determines the eigenvalue in the Helmholtz equation above, the number of modes corresponding to each frequency relates to the frequency's multiplicity as an eigenvalue.
  • Kressner is best known for his work on numerical methods, in particular for linear eigenvalue problems, nonlinear eigenvalue problems, and low-rank approximation techniques for matrix problems.

  • K-eigenvalue problems are the most common in nuclear reactor analysis.
  • Rayleigh quotient iteration is an eigenvalue algorithm which extends the idea of the inverse iteration by using the Rayleigh quotient to obtain increasingly accurate eigenvalue estimates.
  • A pseudoreflection "g" has an eigenvalue 1 of multiplicity "n-1" and another eigenvalue "r" of multiplicity 1.
  • When the dynamical system can be described by a transfer operator, then the invariant measure is an eigenvector of the operator, corresponding to an eigenvalue of [...] this being the largest eigenvalue as given by the Frobenius-Perron theorem.
  • In terms of linear algebra, assuming the origin is fixed, involutions are exactly the diagonalizable maps with all eigenvalues either 1 or −1.

  • This is an eigenvalue equation: [...] is a linear operator on a vector space, [...] is an eigenvector of [...] , and [...] is its eigenvalue.
  • has an eigenvalue that is strictly greater in magnitude than its other eigenvalues and the starting vector [...] has a nonzero component in the direction of an eigenvector associated with the dominant eigenvalue, then a subsequence [...] converges to an eigenvector associated with the dominant eigenvalue.
  • The eigenvalue spectrum is infinitely degenerate since for each eigenvalue "E">0, there corresponds an infinite number of eigenfunctions corresponding to different directions of [...].
  • This is a plot of the eigenvalues (in the form [...]) in the complex plane.
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Contains translations by TU Chemnitz and Mr Honey's Business Dictionary (German-English only).
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