eigenvalue


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Related to eigenvalue: eigenvalue equation, Eigenvalue Problem
  • noun

Synonyms for eigenvalue

(mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant

References in periodicals archive ?
Eigenvalue problems of this form arise in many applications, in particular in the context of linear quadratic optimal control problems (see, e.
The eigenvalues are representations of the variance variables share.
We can see that the Leslie matrices corresponding to the data in Table I and Table II, respectively, have a real eigenvalue that is larger than the others, which satisfies the conclusion of the Perron-Frobenius Theorem.
0000 Figure 6 Collinearity Diagnostics (intercept adjusted) Condition Number Eigenvalue Index X1 X2 1 2.
d-1], its signed characteristic vector is an eigenvector of eigenvalue [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (Proposition 3.
0 can perform new types of analyses, including response spectrum, complex eigenvalues, and pre-stressed normal modes, as well as material and geometric non-linear implicit analysis.
The axes are linear combinations of the original variables, like that of the PCA, in which the corresponding eigenvalues indicate the amount of variation explained by these axes.
be the eigenvalue decomposition of a matrix A, then the m-th eigenvalue of A can be expressed as
Numerical experiments show that for m < (1 + 2r)/(2r(1 - r)) the maximum eigenvalue of [S.
Key words: eigenvalue problem, Toeplitz matrix, (2,3)-Pade approximation
Generally speaking, the uncertainty of the concept can be represented by multiple eigenvalues.
8) if and only if [lambda] is an eigenvalue and y is a corresponding eigenvector of equation (1.
where [lambda] = m is an eigenvalue, m is the order of matrix P, i.
In this way, we replace the characteristic polynomial with the polynomial of the second order from the Taylor series, which faster convergences than classical Newton method in enough small neighbourhood of the smallest eigenvalue.
0000418, whereas the eigenvalue pertaining to the single relevant predetermined variable, [R.