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Hermitian

Line breaks: Her¦mit|ian
Pronunciation: /həːˈmɪtɪən
 
/

Definition of Hermitian in English:

adjective

Mathematics
Denoting or relating to a matrix in which those pairs of elements which are symmetrically placed with respect to the principal diagonal are complex conjugates.
Example sentences
  • Hermite is now best known for a number of mathematical entities that bear his name: Hermite polynomials, Hermite's differential equation, Hermite's formula of interpolation and Hermitian matrices.
  • In general, the eigenvalues can be complex numbers, even when the elements of the matrix are real, but the symmetry of a Hermitian matrix ensures that all the eigenvalues will be real.
  • Do you realize that's the pair-correlation function for the eigenvalues of a random Hermitian matrix?

Origin

early 20th century: from the name of Charles Hermite (1822–1905), French mathematician, + -ian.

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