# eigenfunction

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Related to Eigen function: eigenfunction expansion

## eigenfunction

(ˈaɪɡənˌfʌŋkʃən)
n
(Mathematics) maths physics a function satisfying a differential equation, esp an allowed function for a system in wave mechanics
Translations
Eigenfunktion
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References in periodicals archive ?
Eigen values represent the amount of variation explained by the corresponding eigen function (Kirkpatrick et al., 1990).
Ebenezer and Abraham presented an Eigen function approach to determine the response of radially polarized piezoelectric cylindrical shells of finite length subjected to electrical excitation [6].
The solution [U.sub.m] to (2.6) becomes the approximate solution in the finite dimensional subspace while [[omega].sub.j] (x) are the normalized eigen function.
Using methods developed in [5] we will estimate eigen function of first boundary value problem for the operator.
The eigen function design approach used to realize SAW filters is noniterative and the pass band shapes of the transfer functions can be manipulated easily by varying the coefficients of the eigen functions.
The effectiveness of the Eigen function expansion in achieving exponential convergence has been confirmed by using Galerkin formulation of the matching condition to determine the unknown coefficients.
In the TE mode the sole component of F is parallel to the z-axis which is expanded in terms of eigen functions as
To take into account the power dissipated on the metallic plates and into the dielectric slab the vector eigen functions used in [13] are modified following [16].
LPP is to find the optimal linear approximations to the eigen functions of the Laplace Beltrami operator on the manifold, sharing many of the data representation properties of nonlinear dimensionality reduction such as Laplacian Eigen maps or Locally Linear Embedding.
where [bar.[alpha]](x) denotes the mean value of [alpha](x;[theta]), [{[[xi].sub.i]([theta]}.sup.[infinity].sub.i=1] is a set of uncorrelated random variables, and [[lambda].sub.i] and [f.sub.i](x) are the eigen values and the eigen functions, respectively.

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