eigenvalue
noun Etymology: part translation of German Eigenwert, from eigen own, peculiar + Wert value Date: 1927 a scalar associated with a given linear transformation of a vector space and having the property that there is some nonzero vector which when multiplied by the scalar is equal to the vector obtained by letting the transformation operate on the vector; especially a root of the characteristic equation of a matrix

New Collegiate Dictionary. 2001.

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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… …   Australian English dictionary

• 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 — noun /ˈaɪɡənˌvæljuː/ The change in magnitude of a vector that does not change in direction under a given linear transformation; a scalar factor by which an eigenvector is multiplied under such a transformation. The eigenvalues of a transformation …   Wiktionary

• eigenvalue — See factor analysis …   Dictionary of sociology

• eigenvalue — n. characteristic root, proper value, latent root (Mathematics) …   English contemporary dictionary

• eigenvalue — noun Mathematics & Physics a value of a parameter for which a differential equation has a non zero solution (an eigenfunction) under given conditions …   English new terms dictionary

• eigenvalue — ei·gen·value …   English syllables