conjugate transpose
English
editNoun
editconjugate transpose (plural conjugate transposes)
- (mathematics) The transpose of a matrix, after replacing each element with its complex conjugate.
Usage notes
editIn 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
edit- (transpose of matrix of complex conjugates): adjoint matrix, bedaggered matrix, conjugate transpose, Hermitian conjugate, Hermitian transpose, transjugate
Translations
editTranslations
See also
edit- adjugate matrix (historically also sometimes called "adjoint")