eigenvalue
UK /ˈaɪ.ɡənˌvæl.juː/ · US /ˈaɪ.ɡənˌvæl.ju/ noun
Forms eigenvalues
- noun (linear algebra) A scalar λ, such that there exists a non-zero vector x (a corresponding eigenvector) for which the image of x under a given linear transformation A is equal to the image of x under multiplication by λ; i.e. Ax=λx.
Synonyms
characteristic root characteristic value eigenroot latent value proper value eigenvalue of a matrix eigenvalue of a square matrix characteristic root of a square matrix
Etymology
From eigen- + value. Partial calque of German Eigenwert.
Sources: Wiktionary · WordNet 3.0 — from the Wiktionary entry “eigenvalue”, CC BY-SA 4.0. Details