An example of a nonregular semimonotone Q-matrix

In their paper, Agangic and Cottle gave necessary and sufficient conditions for a P sub(0)-matrix to be a Q-matrix. In this paper, Pang showed that the same characterization holds for an L-matrix. In this paper, we show that a similar characterization for an E sub(0)-matrix (semimonotone or L sub(1)...

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Veröffentlicht in:	Mathematical programming 1989-11, Vol.44 (3), p.351-356
Hauptverfasser:	JETER, M. W, PYE, W. C
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Exact sciences and technology Flows in networks. Combinatorial problems Operational research and scientific management Operational research. Management science
Online-Zugang:	Volltext
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Zusammenfassung:	In their paper, Agangic and Cottle gave necessary and sufficient conditions for a P sub(0)-matrix to be a Q-matrix. In this paper, Pang showed that the same characterization holds for an L-matrix. In this paper, we show that a similar characterization for an E sub(0)-matrix (semimonotone or L sub(1)-matrix) is not possible. This is done by providing a counterexample to the inclusion E sub(0) intersection Q included in R sub(0), thus answering in the negative a question first posed by Pang.
ISSN:	0025-5610 1436-4646
DOI:	10.1007/BF01587097