Noun Adjoint Definition and Examples


Noun:

Adjoint

Pronunciation:

/ˈadʒɔɪnt/

Definition:
1.

adjective

Relating to or denoting a function or quantity related to a given function or quantity by a particular process of transposition.
  1. 'He then went on to consider the case where the kernel is not symmetric and showed that in that case the eigenfunctions associated with a given eigenvalue occurred in adjoint pairs.'

noun

An adjoint matrix, function, or quantity.
  1. 'The Smoluchowski diffusion equation, represented as the eigenvalue equation for the adjoint of the diffusion operator, has been solved by computing averages obtained along with the MD statistics.'
((n.) An adjunct; a helper.)


noun, Mathematics.

1. a square matrix obtained from a given square matrix and having the property that its product with the given matrix is equal to the determinant of the given matrix times the identity matrix.

2. Also called Hermitian conjugate, transposed conjugate. the matrix obtained from a given matrix by interchanging rows and columns and by replacing each element by its complex conjugate.

Origin:
Late 19th century: from French, literally ‘joined to’, from adjoindre (see adjoin).

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