Journal article
Minimal rank completions of partial banded matrices
Linear & multilinear algebra, v 36(1), 59
01 Oct 1993
Abstract
It is proven that the minimal rank of a partial banded matrix equals the maximum of the minimal ranks of all triangular subpatterns. This proves partly the minimal rank conjecture in a paper by N. Cohen, C. R. Johnson, L. Rodman and H. J. Woerdeman (Operator Theory: Advances and Applications 40 (1989), 165-185).
The results are applied to the problem of simultaneously completing a matrix and its inverse.
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32 citations in Scopus
Details
- Title
- Minimal rank completions of partial banded matrices
- Creators
- Hugo J. Woerdeman - William & Mary
- Publication Details
- Linear & multilinear algebra, v 36(1), 59
- Publisher
- Gordon and Breach Science Publishers
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Scopus ID
- 2-s2.0-0010660778
- Other Identifier
- 991021866362604721