On Lipschitzian Q0 and INS matrices

A problem posed by Murthy, Parthasarathy, and Sriparna is settled in this note, viz., a nondegenerate matrix satisfying Property (**) introduced by Murthy, Parthasarathy, and Sabatini is shown to be a Lipschitizian matrix. The analysis is based on the results recently derived on INS matrices. We also prove that the class INS under the assumption of nondegeneracy is complete.