Planet Math page (below) says H. Eves (Elementary Matrix Theory, Dover publications, 1980) uses "tranjugate." Maybe that is the solution here. ;-)
Thanks, Gonzalo, John and KDC - I continue to learn a lot from the collective knowledge here. I do not know the source of any of these terms, but here are a couple of books I've been using a lot lately, plus three accessible internet sites (which all seem to link to each other). Trefethen & Bau, Numerical Linear Algebra ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ This nice text uses "adjoint" regularly for the conjugate transpose and does not mention adjugate. Watkins, Fundamentals of Matrix Computations ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 2010 revision just calls it "conjugate transpose" Planet Math ~~~~~~~~~~~ "The conjugate transpose of A is also called the adjoint matrix of A" http://planetmath.org/encyclopedia/Tranjugate.html "adjugate is also known as the classical adjoint, to distinguish it from the usual usage of ``adjoint'' which denotes the conjugate transpose operation." http://planetmath.org/encyclopedia/MatrixAdjoint.html MathWorld ~~~~~~~~~ "adjugate" just links to "adjoint", and "conjugate transpose." The former says: "The word adjoint has a number of related meanings. In linear algebra, it refers to the conjugate transpose and is most commonly denoted A^(H). The analogous concept applied to an operator instead of a matrix, sometimes also known as the Hermitian conjugate" http://mathworld.wolfram.com/Adjoint.html While the latter says: "The conjugate transpose is also known as the adjoint matrix, adjugate matrix, Hermitian adjoint, or Hermitian transpose" http://mathworld.wolfram.com/ConjugateTranspose.html Wikipedia ~~~~~~~~~ 'In linear algebra, the adjugate or classical adjoint of a square matrix is a matrix that plays a role similar to the inverse of a matrix; it can however be defined for any square matrix without the need to perform any divisions. The adjugate has sometimes been called the "adjoint", but that terminology is ambiguous. Today, "adjoint" of a matrix normally refers to its corresponding adjoint operator, which is its conjugate transpose.' http://en.wikipedia.org/wiki/Adjugate_matrix "Other names for the conjugate transpose of a matrix are Hermitian conjugate, or transjugate." http://en.wikipedia.org/wiki/Conjugate_transpose -- To post to this group, send an email to sage-devel@googlegroups.com To unsubscribe from this group, send an email to sage-devel+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-devel URL: http://www.sagemath.org
