eigenvalue

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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]
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all roots of the equation det(z[alpha](z)I - A) =0 are inside the unit circle if and only if all eigenvalues of A belong to {z[alpha](z) :[absolute value of z] < 1>.
Eigenvalues of correlations and condition index are given in Table III.
Consistent with our theory, the two algorithms have the same nonzero extreme eigenvalues. The two algorithms are quite robust with respect to the coefficient [rho](x), even with only less than two adaptive primal unknowns per edge.
The asymptotic eigenvalue matrix [D.sup.[infinity]] is a diagonal matrix with eigenvalues [[lambda].sup.[infinity].sub.n] = 1 only at loci where matrix G is zeroed, and [[lambda].sup.[infinity].sub.n] = 0, where g[n] > 0.
Previous techniques take advantage of the spectral theorem to turn the high frequency eigenvalues [[lambda].sub.j] into the semiclassical parameter [h.sup.-2].
They showed the existence of eigenvalues of (4) and (5) and calculated the numbers of eigenvalues.
In this study, we attempted to get the energy eigenvalues (for any l [not equal to] 0 states) and masses of heavy mesons by using Asymptotic Iteration Method in the view of NRQCD, in which the quarks are considered as spinless for easiness and are bounded by Cornell potential.
Since there are no eigenvalues when [lambda] = 0, by general results of perturbation theory, eigenvalues of [H.sub.[lambda]] can appear in a gap only by emerging from one of its end points as [lambda] is varied.
The quadratic eigenvalue problem Q([lambda])x = 0 has exactly n eigenvalues [[lambda].sub.1] [less than or equal to] ...
It is known that the eigenvalues [[lambda].sub.1]([alpha]) and [[lambda].sup.D.sub.1] > 0 are simple and [mathematical expression not reproducible].
We locate the feedback system slow eigenvalues at [[lambda].sup.desired.sub.cs] = (-2, -3) and the feedback system fast eigenvalues at [[lambda].sup.desired.sub.cf] = (-7, -8) and the reduced-order observer eigenvalues at [[lambda].sup.desired.sub.robs] = (-50, -60), given in the previous numerical example.
Let [[lambda].sub.1] and [[lambda].sub.2] be two distinct eigenvalues and [y.sub.1] and [y.sub.2] are the corresponding eigenfunctions.