Sufficient matrices belong to L

Sufficient matrices belong to L

In this paper, we establish a significant matrix class inclusion that seems to have been overlooked in the literature of the linear complementarity problem. We show that P *, the class of sufficient matrices, is a subclass of L. In the course of demonstrating this inclusion, we introduce other new m...

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Veröffentlicht in:Mathematical programming 2006-06, Vol.106 (2), p.391-401
Hauptverfasser: ADLER, Ilan, COTTLE, Richard W, VERMA, Sushil
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Exact sciences and technology
Mathematical programming
Matrix
Operational research and scientific management
Operational research. Management science
Studies
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Zusammenfassung:In this paper, we establish a significant matrix class inclusion that seems to have been overlooked in the literature of the linear complementarity problem. We show that P *, the class of sufficient matrices, is a subclass of L. In the course of demonstrating this inclusion, we introduce other new matrix classes that forge interesting new connections between known matrix classes. [PUBLICATION ABSTRACT]
ISSN:0025-5610
1436-4646
DOI:10.1007/s10107-005-0639-7