Pα-matrices and lyapunov scalar stability

Daniel Hershkowitz, Nira Mashal

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


For partitions α of {1,...,n}, the classes of Pα- 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 α-scalar stable matrix is a Pα-matrix. Implication relations between Lyapunov scalar stability and H-stability are discussed.

Original languageEnglish
Pages (from-to)39-47
Number of pages9
JournalElectronic Journal of Linear Algebra
StatePublished - 1998
Externally publishedYes


  • H-stability
  • P-matrices
  • P-matrices
  • Positive definite matrices
  • Scalar stability
  • Stability


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