conjugate transpose
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English
Noun
conjugate transpose (plural conjugate transposes)
- (mathematics) The transpose of a matrix, after replacing each element with its complex conjugate.
Usage notes
In linear algebra, it may be denoted using the notations A*, AH, A† or A+. Of these, the superscripted dagger (glyph) notation is universally used in quantum mechanics. Also, the notation A+ is commonly used for the Moore–Penrose pseudoinverse.
In some contexts, A* denotes the matrix of complex conjugate entries, and the transpose conjugate is then denoted by A*T or AT*.
Synonyms
- (transpose of matrix of complex conjugates): adjoint matrix, bedaggered matrix, conjugate transpose, Hermitian conjugate, Hermitian transpose, transjugate
Translations
Translations
See also
- adjugate matrix (historically also sometimes called "adjoint")