Details
Original language | English |
---|---|
Pages (from-to) | 93-112 |
Number of pages | 20 |
Journal | Linear Algebra and Its Applications |
Volume | 197-198 |
Issue number | C |
Publication status | Published - 1994 |
Abstract
A general determinantal identity of Sylvester type over arbitrary commutative fields is derived. While its proof is rather short and conceptually simpler than earlier attempts, the result contains Sylvester's classical determinantal identity and more recent extensions as well as some old and some new determinantal identities. An application to the E-algorithm is added.
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
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In: Linear Algebra and Its Applications, Vol. 197-198, No. C, 1994, p. 93-112.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A general determinantal identity of Sylvester type and some applications
AU - Beckermann, B.
AU - Mühlbach, G.
PY - 1994
Y1 - 1994
N2 - A general determinantal identity of Sylvester type over arbitrary commutative fields is derived. While its proof is rather short and conceptually simpler than earlier attempts, the result contains Sylvester's classical determinantal identity and more recent extensions as well as some old and some new determinantal identities. An application to the E-algorithm is added.
AB - A general determinantal identity of Sylvester type over arbitrary commutative fields is derived. While its proof is rather short and conceptually simpler than earlier attempts, the result contains Sylvester's classical determinantal identity and more recent extensions as well as some old and some new determinantal identities. An application to the E-algorithm is added.
UR - http://www.scopus.com/inward/record.url?scp=21344475717&partnerID=8YFLogxK
U2 - 10.1016/0024-3795(94)90483-9
DO - 10.1016/0024-3795(94)90483-9
M3 - Article
AN - SCOPUS:21344475717
VL - 197-198
SP - 93
EP - 112
JO - Linear Algebra and Its Applications
JF - Linear Algebra and Its Applications
SN - 0024-3795
IS - C
ER -