An introduction to the application of the simplest matrix-generalized inverse in systems science
Victor Lovass-Nagy, Richard J. Miller, David L. Powers · IEEE Transactions on Circuits and Systems · 1978
Various kinds of matrix-generalized inverses are defined and classified. Theorems on the existence, calculation, and use of the simplest generalized inverse are stated. Matrices of functions receive special attention. Generalized inverses are applied to solving underdetermined and overdetermined systems of equations, specifically those that arise in linear control problems. Simple examples illustrate suggested procedures.