## Abstract

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

Original language | English |
---|---|

Pages (from-to) | 39-47 |

Number of pages | 9 |

Journal | Electronic Journal of Linear Algebra |

Volume | 4 |

State | Published - 1998 |

Externally published | Yes |

## Keywords

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

## Fingerprint

Dive into the research topics of 'P^{α}-matrices and lyapunov scalar stability'. Together they form a unique fingerprint.