The eigenvalues of a transformation matrix may be found by solving .
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eigenvalue — [ī′gən val΄yo͞o] n. Math. Physics any of the possible values of a quantity derived from a differential or integral equation having solutions that satisfy certain special conditions … English World dictionary
eigenvalue — /ˈaɪgənvælju/ (say uyguhnvalyooh) noun Physics, Mathematics a constant which acts as a multiplier on an eigenvector; for example, an eigenvalue of +2 doubles the length of the eigenvector while maintaining its direction, while an eigenvalue of 2… …
eigenvalue — /uy geuhn val yooh/, n. Math. See characteristic root. [1925 30; partial trans. of G Eigenwert, equiv. to eigen characteristic, particular + Wert VALUE] * * * In mathematical analysis, one of a set of discrete values of a parameter, k, in an… … Universalium
eigenvalue — tikrinė vertė statusas T sritis automatika atitikmenys: angl. eigenvalue vok. Eigenwert, m rus. собственное значение, n pranc. valeur propre, f … Automatikos terminų žodynas
eigenvalue — tikrinė vertė statusas T sritis fizika atitikmenys: angl. eigenvalue; proper value vok. Eigenwert, m rus. собственное значение, n pranc. valeur propre, f … Fizikos terminų žodynas
Eigenvalue perturbation — is a perturbation approach to finding eigenvalues and eigenvectors of systems perturbed from one with known eigenvectors and eigenvalues. It also allows one to determine the sensitivity of the eigenvalues and eigenvectors with respect to changes… … Wikipedia
Eigenvalue, eigenvector and eigenspace — In mathematics, given a linear transformation, an Audio|De eigenvector.ogg|eigenvector of that linear transformation is a nonzero vector which, when that transformation is applied to it, changes in length, but not direction. For each eigenvector… … Wikipedia
Eigenvalue algorithm — In linear algebra, one of the most important problems is designing efficient and stable algorithms for finding the eigenvalues of a matrix. These eigenvalue algorithms may also find eigenvectors. Contents 1 Characteristic polynomial 2 Power… … Wikipedia
eigenvalue of a matrix — noun (mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant • Syn: ↑eigenvalue, ↑eigenvalue of a square matrix, ↑characteristic root of a square matrix • Hypernyms: ↑value … Useful english dictionary
eigenvalue of a square matrix — noun (mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant • Syn: ↑eigenvalue, ↑eigenvalue of a matrix, ↑characteristic root of a square matrix • Hypernyms: ↑value … Useful english dictionary
eigenvalue equation — tikrinių verčių lygtis statusas T sritis fizika atitikmenys: angl. eigenvalue equation vok. Eigenwertgleichung, f rus. уравнение собственных значений, n pranc. équation aux valeurs propres, f … Fizikos terminų žodynas
