Details
| Original language | English |
|---|---|
| Pages (from-to) | 145-162 |
| Number of pages | 18 |
| Journal | Linear Algebra and Its Applications |
| Volume | 132 |
| Issue number | C |
| Publication status | Published - 15 Apr 1990 |
Abstract
A new principle for extending determinantal identities is established which generalizes Muir's classical law of extensible minors. The proof makes use of general elimination strategies and of generalized Schur complements. This principle allows either the list of columns or the list of rows extending the corresponding list in the given identity to depend on the latter. As applications of this technique Karlin's and a generalization of Sylvester's identity are derived.
ASJC Scopus subject areas
- Mathematics(all)
- Algebra and Number Theory
- Mathematics(all)
- Numerical Analysis
- Mathematics(all)
- Geometry and Topology
- Mathematics(all)
- Discrete Mathematics and Combinatorics
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Linear Algebra and Its Applications, Vol. 132, No. C, 15.04.1990, p. 145-162.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On extending determinantal identities
AU - Mühlbach, G.
PY - 1990/4/15
Y1 - 1990/4/15
N2 - A new principle for extending determinantal identities is established which generalizes Muir's classical law of extensible minors. The proof makes use of general elimination strategies and of generalized Schur complements. This principle allows either the list of columns or the list of rows extending the corresponding list in the given identity to depend on the latter. As applications of this technique Karlin's and a generalization of Sylvester's identity are derived.
AB - A new principle for extending determinantal identities is established which generalizes Muir's classical law of extensible minors. The proof makes use of general elimination strategies and of generalized Schur complements. This principle allows either the list of columns or the list of rows extending the corresponding list in the given identity to depend on the latter. As applications of this technique Karlin's and a generalization of Sylvester's identity are derived.
UR - http://www.scopus.com/inward/record.url?scp=27644559174&partnerID=8YFLogxK
U2 - 10.1016/0024-3795(90)90060-P
DO - 10.1016/0024-3795(90)90060-P
M3 - Article
AN - SCOPUS:27644559174
VL - 132
SP - 145
EP - 162
JO - Linear Algebra and Its Applications
JF - Linear Algebra and Its Applications
SN - 0024-3795
IS - C
ER -