The Weak Hawkins-Simon Property after a Suitable Permutation of Columns : Dual Sufficient Conditions
| Autor: | Ranade, Ravindra Raghunath, Fujimoto, Takao |
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| Jazyk: | angličtina |
| Rok vydání: | 2005 |
| Předmět: | |
| Zdroj: | 香川大学経済論叢. 78(2):349-355 |
| ISSN: | 0389-3030 |
| Popis: | application/pdf Fujimoto-Ranade [5] showed that an inverse-positive real square matrix has the weak Hawkins-Simon property after a suitable permutation of columns. In a recent paper by Bidard [1], he proved that if the last column of the inverse of a real square matrix is strictly positive, the matrix enjoys the weak Hawkins-Simon property after a suitable permutation of columns. Then Fujimoto-Ranade [7] gave a series of sufficient conditions which bridge these two sets of conditions. This note represents a dual form of sufficient conditions based upon one of Bidard's observations in [1]. Also, using this, we present a proposition which contains a sufficient condition under which a matrix cannot satisfy the weak Hawkins-Simon property even after any permutation of columns, thus cannot be an inverse-positive matrix. |
| Databáze: | OpenAIRE |
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