Karim BELABAS on Tue, 30 Sep 2003 18:20:08 +0200 (MEST) |
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Re: matadjoint |
On Tue, 30 Sep 2003, Denis Simon wrote: > I was wondering about the terminology 'matadjoint' used in gp. In some > linear algebra book, I found that the 'adjoint' of a matrix is the > transpose of the conjugate (complex conjugate) of a matrix. It seems that > the result of matajoint is the transpose of the 'comatrix'. In which book > can I find the name 'adjoint' for this matrix ? Is the french terminology > different from the english one ? cf Bourbaki (Algebre III, p199, ex 9 in my edition), Mehta (Matrix Theory, Section 3.2), Stewart (Introduction to matrix computations, Appendix 2), etc. The terminology is unfortunate [ nothing to do with adjoint operators in Hilbert spaces, corresponding to your other definition, and which is even more standard! ], but nonetheless standard. From a cursory check in our library, this usage doesn't seem to be linked to a particular tradition. [ although I'm ready to be corrected on that one... ] Cheers, Karim. -- Karim Belabas Tel: (+33) (0)1 69 15 57 48 Dép. de Mathématiques, Bât. 425 Fax: (+33) (0)1 69 15 60 19 Université Paris-Sud http://www.math.u-psud.fr/~belabas/ F-91405 Orsay (France) http://www.parigp-home.de/ [PARI/GP]