# eigenvalue

Also found in: Thesaurus, Medical, Encyclopedia, Wikipedia.
Related to eigenvalue: eigenvalue equation, Eigenvalue Problem

## ei·gen·val·ue

(ī′gən-văl′yo͞o)
n.
The factor by which the magnitude of an eigenvector is changed by a given transformation.

[Partial translation of German Eigenwert : eigen-, peculiar, characteristic (from eigen, own, from Middle High German, from Old High German eigan; see aik- in Indo-European roots) + Wert, value.]

## eigenvalue

(ˈaɪɡənˌvæljuː)
n
(Mathematics) maths physics one of the particular values of a certain parameter for which a differential equation or matrix equation has an eigenfunction. In wave mechanics an eigenvalue is equivalent to the energy of a quantum state of a system

## ei•gen•val•ue

(ˈaɪ gənˌvæl yu)

n.
a scalar for which there exists a nonzero vector such that the scalar times the vector equals the value of the vector under a given linear transformation.
[1925–30; < German Eigenwert,=eigen- characteristic, particular + Wert value]
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 eigenvalue - (mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinantvalue - a numerical quantity measured or assigned or computed; "the value assigned was 16 milliseconds"
Translations
egenværdi
Eigenwert
omaväärtus
ominaisarvo
eigingildi
wartość własna
egenvärde
References in periodicals archive ?
This staircase form allows to deflate the singular part and some of the infinite eigenvalue parts of the pencil in a structure preserving way so that for eigenvalue, eigenvector, and invariant subspace computations, only the central block [lambda][N.
With eigenvalue-one criterion, components with eigenvalues greater than 1 are retained.
Part III covers numerical methods for linear systems and eigenvalue computation with a recent topics list.
Second, eigenvalue statistics will be used to detect the basic dichotomy of disordered quantum systems, the Anderson metal-insulator transition.
If [lambda] is a complex eigenvalue of the matrix L, then [lambda] satisfies the discrete Euler-Lotka equation
This can be generated using JMP Principal Components Analysis on Correlations (see Figure 5, eigenvalue = 0.
If G is regular of degree [delta], then these conditions are equivalent, since every eigenvector of A with eigenvalue [lambda] is an eigenvector of L with eigenvalue [delta] - [lambda].
today announced the availability of an automated multilevel substructuring eigenvalue solver (AMSES) that dramatically cuts the time required to compute eigenvalues for analysis in noise, vibration and harshness (NVH) simulations.
The shape used was taken from the first canonical variate axis which has the highest percentage of eigenvalue.
A natural step is to perform an eigenvalue decomposition of D [2]
Notice that the system is solvable if and only if 1 is not an eigenvalue of the matrix S.

Site: Follow: Share:
Open / Close