eigenvalue

名词 n.
中文释义
英 /ˈaɪ.ɡənˌvæl.juː/    美 /ˈaɪ.ɡənˌvæl.ju/

英文释义

名词 n.
  1. 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.
    — In the extension, one associates eigenvalues, sets of scalars, with arrays of matrices by considering the singularity of linear combinations of the matrices in the various rows, involving the same coefficients in each case. Attention to this area was called in the early 1920's by R. D. Carmichael, who pointed out in addition the enormous variety of mixed eigenvalue problems with several parameters.

词形变化

eigenvalues plural

词源

From eigen- + value. Partial calque of German Eigenwert.
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