adjoint
9.9
An operator related to another by transpose or complex conjugate
- noun
- /əˈdʒɔɪnt/
- Specialized
:
adjunto
- Understanding the adjoint of an operator is crucial for solving certain types of differential equations.
Examples
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In his lecture, the professor explained how to compute the adjoint of a linear transformation using specific matrix operations.
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We've shown that the adjoint of the adjoint set is equal to A.
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Definition, an operator, which I will call O whose adjoint is equal to O.
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He had worked out the spectral theory of self-adjoint operators in quaternionic Hilbert space.
Academic text (1999) -
The adjoint operator for a matrix is found by taking its transpose and then applying complex conjugation.
Surface Forms
Etymology
In math, the adjoint is the thing that is 'joined to' another by a special rule; the name comes from ad- 'to' and join 'bring together', so an adjoint operator is one that is paired or matched to another.
