Open AccessP^alpha-matrices and Lyapunov scalar stability
Author(s) -
Daniel Hershkowitz,
Nira Mashal
Publication year - 1998
Publication title -
electronic journal of linear algebra
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.447
H-Index - 31
eISSN - 1537-9582
pISSN - 1081-3810
DOI - 10.13001/1081-3810.1024
Subject(s) - mathematics , alpha (finance) , scalar (mathematics) , lyapunov function , stability (learning theory) , lyapunov equation , lyapunov stability , pure mathematics , statistics , physics , geometry , computer science , nonlinear system , psychometrics , machine learning , quantum mechanics , construct validity
For partitions of f1; : : : ; ng, 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 of 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.
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