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

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Alseidi_2-11hoknygmukvc9.pdf
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2020
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Zusammenfassung

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 Ak 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.

Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
Strict sign-regularity, sign-regularity, oscillatory matrix, compound matrix, primitive matrix, exponent of primitivity, oscillatory exponent of order k
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Zitieren
ISO 690ALSEIDI, Rola, Jürgen GARLOFF, 2020. Recognition of Matrices Which are Sign-regular of a Given Order and a Generalization of Oscillatory Matrices
BibTex
@techreport{Alseidi2020Recog-50325,
  year={2020},
  series={Konstanzer Schriften in Mathematik},
  title={Recognition of Matrices Which are Sign-regular of a Given Order and a Generalization of Oscillatory Matrices},
  number={392},
  author={Alseidi, Rola and Garloff, Jürgen},
  note={Wird erscheinen in: Operator and Matrices ; 2020. - Element, Zagreb}
}
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Wird erscheinen in: Operator and Matrices ; 2020. - Element, Zagreb
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