Author | DeAlba, Luz M. | |

Date Accessioned | 2005-05-11T14:06:35Z | |

Date Available | 2005-05-11T14:06:35Z | |

Date of Issue | 1996-07 | |

Identifier (Citation) | LINEAR ALGEBRA AND ITS APPLICATIONS, July-August 1996, Pages 191-201. | en |

xmlui.metadata.dc.identifier.issn | 0024-3795 | |

Identifier (URI) | http://hdl.handle.net/2092/240 | |

Description | Proceedings of the Fourth Conference of the International Linear Algebra Society. | en |

Description | Let A be an n-by-n nonderogatory matrix all of whose eigenvalues lie on the unit circle, and let and be nonnegative integers with + = n. Let ′ and ′ be positive integers and ′ a nonnegative integer with ′ + ′ + ′ = n. In this paper we explore the existence of a Hermitian nonsingular matrix K with inertia ( , , 0), such that the Stein transformation of K corresponding to A, SA(K) = K − AKA*, is a Hermitian matrix with inertia ( ′, ′, ′). The study is done by reducing A to Jordan canonical form. If C is an n-by-n nonderogatory matrix all of whose eigenvalues lie on the imaginary axis, then the results obtained for SA(K) are valid for the Lyapunov transformation, LC(K) = CK + KC*, of K corresponding to C. | en |

Sponsorship | Partially supported by a Drake University Faculty Research Grant. | en |

xmlui.metadata.dc.format.extent | 131037 bytes | |

Mimetype | application/pdf | |

Language | en_US | |

Publisher | Elsevier Science | en |

Subject | Inertia | en |

Subject | Stein transformation | en |

Subject | Nonderogatory matrices | en |

Subject | Algebra | en |

Title | "Inertia of the stein transformation with respect to some nonderogatory matrices" | en |

Type | Article | en |