eigenvalue


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Related to eigenvalue: eigenvalue equation, Eigenvalue Problem

ei·gen·val·ue

(ī'gĕn-val-yū),
Any of the possible values for a parameter of an equation for which the solution will be compatible with the boundary conditions. Compare: eigenfunction.
[Ger. eigen, particular, peculiar to]
References in periodicals archive ?
In this paper we develop numerical methods to calculate a structure preserving deflation under unitary (or in the real case real orthogonal) equivalence transformations for the infinite eigenvalue part in eigenvalue problems for structured matrix pencils
There is another component which has eigenvalue more than 1, but this component is not presented in Table 1 because it doesn't contain more than two variables having loadings greater than 0.
Principal Component Analysis Results Principal Eigenvalue Difference Contribution Ratio Component (%) PC1 6.
3)), which claims that any matrix with nonnegative real entries has a unique largest real eigenvalue.
Condition indices are the square roots of the ratio of the largest eigenvalue to each individual eigenvalue.
If n = 2m + 1 is odd: Eigenvalue Eigenvalue of L Multiplicity Eigenvec of A -3 4m + 5 = 2n + 3 [MATHEMATICAL [H.
AMSES, which runs on both the Windows and LINUX operating systems, computes eigenvalues for fully connected as well as unconnected structures in NVH simulations while dramatically reducing the analysis time.
The table also showed that the first eigenvalue was 100% in its linear combination while the second eigenvalue was 1.
The formulas derived here are consequences of the well-known formula for the derivative of a simple eigenvalue with respect to an entry in a matrix (see exercise 1 on pg 305 [6]).
In the second case, the maximum eigenvalue of the matrix S grows rapidly with N; moreover it can be close to 1 also for small values of N (see Figure 5 in [5]).
Abstract: In this note we present a (2,3)-Pade approximation of secular function for computing the smallest eigenvalue [[lambda].
The numerical eigenvalue (Ex, En, He) for each linguistic term can be obtained from the above formula (1), (2) and (3).