The weak Hawkins-Simon Condition

@article{Bidard2007TheWH,
  title={The weak Hawkins-Simon Condition},
  author={Christian Bidard},
  journal={Electronic Journal of Linear Algebra},
  year={2007},
  volume={16},
  pages={4}
}
  • C. Bidard
  • Published 2007
  • Mathematics
  • Electronic Journal of Linear Algebra
A real square matrix satisfies the weak Hawkins-Simon condition if its leading principal minors are positive (the condition was first studied by the French mathematician Maurice Potron). Three characterizations are given. Simple sufficient conditions ensure that the condition holds after a suitable reordering of columns. A full characterization of this set of matrices should take into account the group of transforms which leave it invariant. A simple algorithm able, in some cases, to implement… 
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6 Citations

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Nutzungsbedingungen Mit dem Zugriff auf den vorliegenden Inhalt gelten die Nutzungsbedingungen als akzeptiert. Die angebotenen Dokumente stehen für nicht-kommerzielle Zwecke in Lehre, Forschung und…

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Nutzungsbedingungen DigiZeitschriften e.V. gewährt ein nicht exklusives, nicht übertragbares, persönliches und beschränktes Recht auf Nutzung dieses Dokuments. Dieses Dokument ist ausschließlich für…

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