Conditions for Existence, Representations, and Computation of Matrix Generalized Inverses

Algorithm 8

Computing a -inverse with the prescribed range and null space.

Require: Time varying matrices , and .

Require: Verify .

  If these conditions are satisfied then continue.

 (1) Solve the matrix equation with respect to an unknown matrix .

 (2) Solve the matrix equation with respect to an unknown matrix .

 (3) Return .