P^alpha-matrices and Lyapunov scalar stability
Daniel Hershkowitz, Nira Mashal · Electronic Journal of Linear Algebra · 1998
For partitions of f1; : : : ; n g, the classes of P -matrices are de ned, unifying the classes of the real P -matrices and of the real positive de nite matrices.Lyapunov scalar stability o f matrices is de ned and characterized, and it is shown also that every real Lyapunov -scalar stable matrix is a P -matrix.Implication relations between Lyapunov scalar stability and H-stability are discussed.