Geodesic
$P^\alpha$-matrices and Lyapunov scalar stability
The electronic journal of linear algebra, Tome 4 (1998), pp. 39-47.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: For partitions ff of f1; : : : ; ng, the classes of P ff -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 ff-scalar stable matrix is a P ff -matrix. Implication relations between Lyapunov scalar stability and H-stability are discussed.
Classification : 15A15, 15A18, 15A57
Keywords: P -matrices, P ff -matrices, stability, scalar stability, positive definite matrices, hstability 
@article{ELA_1998__4__a1,
     author = {Hershkowitz, Daniel and Mashal, Nira},
     title = {$P^\alpha$-matrices and {Lyapunov} scalar stability},
     journal = {The electronic journal of linear algebra},
     pages = {39--47},
     publisher = {mathdoc},
     volume = {4},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_1998__4__a1/}
}
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Hershkowitz, Daniel; Mashal, Nira. $P^\alpha$-matrices and Lyapunov scalar stability. The electronic journal of linear algebra, Tome 4 (1998), pp. 39-47. http://geodesic.mathdoc.fr/item/ELA_1998__4__a1/