An Application of T-inverses of Matrices to a Class of Constrained System

Abstract:

      In this paper, we apply the Γ-inverses of matrices to the constrained system Ax + y=b,x ∈ L,g ∈ L^⊥, and express its general solution for arbitrary A and L。if AP_Ｌ+P_Ｌ⊥ arenonsingular,this solution is just Bott-Duffin solution。 The conditions for corresponding Γ-inverses exist are discussed for L to be a reducing or an invariant subspace。