Definition of Hermitian in English:

Hermitian

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

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.
    More 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.

More definitions of Hermitian

Definition of Hermitian in:

Get more from Oxford Dictionaries

Subscribe to remove adverts and access premium resources

Word of the day tortie
Pronunciation: ˈtɔːtiː
noun
a tortoiseshell cat