New characterizations of the matrix classes P, W and R0

New characterizations of the matrix classes P, W and R0

In this paper, we provide new characterizations of the matrix classes P, W and R0. By using these new characterizations, some well-known results related to P, W and R0-matrices are improved. In 1987, Jeter and Pye proved that if a W-matrix belongs to the class R0, then all of its principle minors ar...

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Veröffentlicht in:Linear algebra and its applications 2021-07, Vol.621, p.181-192
Hauptverfasser: Miri, S.M., Effati, S.
Format: Artikel
Sprache:eng
Schlagworte:
[formula omitted]-matrix
Linear algebra
Linear complementarity problem
P-matrix
W-matrix
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Beschreibung
Zusammenfassung:In this paper, we provide new characterizations of the matrix classes P, W and R0. By using these new characterizations, some well-known results related to P, W and R0-matrices are improved. In 1987, Jeter and Pye proved that if a W-matrix belongs to the class R0, then all of its principle minors are nonnegative, namely W∩R0⊂P0. We present a more precise version of this result. In fact, we prove that W∩R0=P.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2021.03.017