Recent content by PoomjaiN

Dear Fedrik, Many, many thanks for your insight. I think "form" is exactly the term I am looking for. Indeed, it is a map from Vf x V2 --> F, and if I don't need the generalisation for V1 != V2, then V x V --> F is a map from two vector spaces over field F to F. In that sense, I should call it...

Forgot to say A_0 = A_1 + A_2 + A_3. In other words, underwhich condition is the principal eigenvector of the (weighted) sum of matrices equal to the (weighted) sum of principal eigenvectors of the corresponding matrices? Simple question, yet I haven't been able to find the answer! :-)

Dear Friends & Colleagues, I have a couple of nagging issues with mathematics I was hoping anyone of you would kindly be able to help resolve. Given a few (let’s say 3) square matrices, A_1, A_2, A_3, and the corresponding principal eigenvector (eigenvector corresponding to the largest...

Dear Friends & Colleagues, I have a couple of nagging issues with mathematics I was hoping anyone of you would kindly be able to help resolve. Given two vectors, x, y , I wish to define an operation ‘^’ such that x^y = x_1^y_1 + x_2^y_2 + ... . For instance, if x_i designates the...