Journal article
Fractional minimal rank
Linear & multilinear algebra, v 69(1)
02 Jan 2021
Abstract
The notion of fractional minimal rank of a partial matrix is introduced, a quantity that lies between the triangular minimal rank and the minimal rank of a partial matrix. The fractional minimal rank of partial matrices whose bipartite graph is a minimal cycle is determined. Along the way, we determine the minimal rank of a partial block matrix with invertible given entries that lie on a minimal cycle. Some open questions are stated.
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Details
- Title
- Fractional minimal rank
- Creators
- Ben Grossmann - Drexel UniversityHugo J. Woerdeman - Drexel University
- Publication Details
- Linear & multilinear algebra, v 69(1)
- Publisher
- Taylor & Francis
- Number of pages
- 21
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000620466800003
- Scopus ID
- 2-s2.0-85046094227
- Other Identifier
- 991019168221004721
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- Web of Science research areas
- Mathematics