ELA, Volume 4, pp. 39-47, October 1998, abstract.
P^alpha-matrices and Lyapunov scalar stability
Daniel Hershkowitz and Nira Mashal
For partitions alpha of {1,...,n}, the classes of P^alpha-matrices are defined,
unifying the classes of the real P-matrices and of the real positive definite
matrices. Lyapunov scalar stability of matrices is defined and characterized,
and it is shown also that every real Lyapunov alpha-scalar stable matrix is a
P^alpha-matrix. Implication relations between Lyapunov scalar stability and
H-stability are discussed.