Journal article
Rank decomposability in incident spaces
Linear Algebra and its Applications, Vol.230, pp.3-19
1995
Abstract
A set of matrices M is rank decomposable if each matrix T in M is the sum of r rank one matrices in M, where r is the rank of T. We show that an incidence space, i.e. the set of matrices supported on a given pattern, is rank decomposable if and only if the bipartite graph associated with the pattern is chordal.
Details
- Title
- Rank decomposability in incident spaces
- Authors/Creators
- K.R. Davidson (Author/Creator) - University of WaterlooK.J. Harrison (Author/Creator) - Murdoch UniversityU.A. Mueller (Author/Creator) - Edith Cowan University
- Publication Details
- Linear Algebra and its Applications, Vol.230, pp.3-19
- Publisher
- Elsevier
- Identifiers
- 991005540059707891
- Copyright
- © 1995 Published by Elsevier Inc.
- Murdoch Affiliation
- School of Mathematical and Physical Sciences
- Language
- English
- Resource Type
- Journal article
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- Collaboration types
- Domestic collaboration
- International collaboration
- Citation topics
- 9 Mathematics
- 9.28 Pure Maths
- 9.28.886 Operator Algebras
- Web Of Science research areas
- Mathematics
- Mathematics, Applied
- ESI research areas
- Mathematics