The restricted weighted generalized inverse of a matrix
Vasilios N. Katsikis, Dimitrios Pappas · Electronic Journal of Linear Algebra · 2011
We introduce the T -restricted weighted generalized inverse of a singular matrix A with respect to a positive semidefinite matrix T , which defines a seminorm for the space.The new approach proposed is that since T is positive semidefinite, the minimal seminorm solution is considered for all vectors perpendicular to the kernel of T .