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# Recognition of Matrices Which are Sign-regular of a Given Order and a Generalization of Oscillatory Matrices

Type of Publication: | Working Paper/Technical Report |

Publication status: | Accepted |

URI (citable link): | http://nbn-resolving.de/urn:nbn:de:bsz:352-2-11hoknygmukvc9 |

Author: | AlSeidi, Rola; Garloff, Jürgen |

Year of publication: | 2020 |

Series: | Konstanzer Schriften in Mathematik ; 392 |

Summary: |
In this paper, rectangular matrices whose minors of a given order have the same strict sign are considered and sufficient conditions for their recognition are presented. The results are extended to matrices whose minors of a given order have the same sign or are allowed to vanish. A matrix is called oscillatory if all its minors are nonnegative and there exists a positive integer k such that A
^{k} has all its minors positive. As a generalization, a new type of matrices, called oscillatory of a specific order, is introduced and some of their properties are investigated. |

MSC Classification: | 15B48, 15A15 |

Subject (DDC): | 510 Mathematics |

Keywords: | Strict sign-regularity, sign-regularity, oscillatory matrix, compound matrix, primitive matrix, exponent of primitivity, oscillatory exponent of order k |

Comment on publication: | Wird erscheinen in: Operator and Matrices ; 2020. - Element, Zagreb |

Link to License: | In Copyright |

Checksum:
MD5:a54668b0053076279e390de3b76e69e5

ALSEIDI, Rola, Jürgen GARLOFF, 2020. Recognition of Matrices Which are Sign-regular of a Given Order and a Generalization of Oscillatory Matrices

@techreport{AlSeidi2020Recog-50325, series={Konstanzer Schriften in Mathematik}, title={Recognition of Matrices Which are Sign-regular of a Given Order and a Generalization of Oscillatory Matrices}, year={2020}, number={392}, author={AlSeidi, Rola and Garloff, Jürgen}, note={Wird erscheinen in: Operator and Matrices ; 2020. - Element, Zagreb} }

Alseidi_2-11hoknygmukvc9.pdf | 14 |