Z-Pencils

dc.creator	McDonald, J. J.
dc.creator	Olesky, D. D.
dc.creator	Schneider, H.
dc.creator	Tsatsomeros, M. J.
dc.creator	Driessche, P. van den
dc.date	1998-07-06
dc.date.accessioned	2026-07-07T05:25:17Z
dc.date.available	2026-07-07T05:25:17Z
dc.description	The matrix pencil (A,B) = {tB-A \| t \in C} is considered under the assumptions that A is entrywise nonnegative and B-A is a nonsingular M-matrix. As t varies in [0,1], the Z-matrices tB-A are partitioned into the sets L_s introduced by Fiedler and Markham. As no combinatorial structure of B is assumed here, this partition generalizes some of their work where B=I. Based on the union of the directed graphs of A and B, the combinatorial structure of nonnegative eigenvectors associated with the largest eigenvalue of (A,B) in [0,1) is considered.
dc.description	8 pages, LaTex
dc.identifier	https://arxiv.org/abs/math/9807026
dc.identifier	http://arxiv.org/abs/math/9807026
dc.identifier	Electronic Linear Algebra, 4 : 32-38, 1998
dc.identifier.uri	http://salesiana.dossiersoluciones.com/handle/123456789/77126
dc.subject	Rings and Algebras
dc.subject	Combinatorics
dc.subject	15A22 (Primary) 15A48, 05C50 (Secondary)
dc.title	Z-Pencils
dc.type	text

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