Journal article
Matrix completions and chordal graphs
Acta Mathematica Sinica, Vol.19(3), pp.577-590
2003
Abstract
In a matrix-completion problem the aim is to specify the missing entries of a matrix in order to produce a matrix with particular properties. In this paper we survey results concerning matrix-completion problems where we look for completions of various types for partial matrices supported on a given pattern. We see that the existence of completions of the required type often depends on the chordal properties of graphs associated with the pattern.
Details
- Title
- Matrix completions and chordal graphs
- Authors/Creators
- K.J. Harrison (Author/Creator) - Murdoch University
- Publication Details
- Acta Mathematica Sinica, Vol.19(3), pp.577-590
- Publisher
- Springer-Verlag
- Identifiers
- 991005545101007891
- Murdoch Affiliation
- Murdoch University
- Language
- English
- Resource Type
- Journal article
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- Citation topics
- 9 Mathematics
- 9.207 Convergence & Optimization
- 9.207.584 Moore-Penrose Inverse
- Web Of Science research areas
- Mathematics
- Mathematics, Applied
- ESI research areas
- Mathematics