Gordon Sande wrote:> On 2005-11-08 09:41:43 -0400, abariska@student.ethz.ch said:.=2E.> There are two common usages of adjoint. > > One is in matrix theory where it is the transpose of the matrix of cofact=ors> as one would find near the definition of determinants and how to solve > equations using determinants.I just looked through all my pure linear algebra books (Lang, J=E4nich) and scripts (Mislin, Stammbach) and in all of them, the adjoint matrix / map is defined via the innner product, ie. the Hermitian or complex conjugate transpose. The other matrices mentioned by Christian that appear in the computation of the determinant are named only in one script (all other texts either don't give a name at all, or call it A~ or something like that), where they are called the algebraic complement. Perhaps in the US (I'm in Switzerland) the usage of the term differs from Europe. However, it seems that Christian is from Germany ... Regards, Andor

# Re: deconvolution in time?

Started by ●November 8, 2005

Reply by ●November 8, 20052005-11-08

Gordon Sande wrote:> On 2005-11-08 09:41:43 -0400, abariska@student.ethz.ch said:.=2E.> There are two common usages of adjoint. > > One is in matrix theory where it is the transpose of the matrix of cofact=ors> as one would find near the definition of determinants and how to solve > equations using determinants.I just looked through all my pure linear algebra books (Lang, J=E4nich) and scripts (Mislin, Stammbach) and in all of them, the adjoint matrix / map is defined via the innner product, ie. the Hermitian or complex conjugate transpose. The other matrices mentioned by Christian that appear in the computation of the determinant are named only in one script (all other texts either don't give a name at all, or call it A~ or something like that), where they are called the algebraic complement. Perhaps in the US (I'm in Switzerland) the usage of the term differs from Europe. However, it seems that Christian is from Germany ... Regards, Andor