A general determinantal identity of Sylvester type and some applications

Research output: Contribution to journalArticleResearchpeer review

Authors

  • B. Beckermann
  • G. Mühlbach

Research Organisations

View graph of relations

Details

Original languageEnglish
Pages (from-to)93-112
Number of pages20
JournalLinear Algebra and Its Applications
Volume197-198
Issue numberC
Publication statusPublished - 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

Cite this

A general determinantal identity of Sylvester type and some applications. / Beckermann, B.; Mühlbach, G.
In: Linear Algebra and Its Applications, Vol. 197-198, No. C, 1994, p. 93-112.

Research output: Contribution to journalArticleResearchpeer review

Beckermann B, Mühlbach G. A general determinantal identity of Sylvester type and some applications. Linear Algebra and Its Applications. 1994;197-198(C):93-112. doi: 10.1016/0024-3795(94)90483-9
Beckermann, B. ; Mühlbach, G. / A general determinantal identity of Sylvester type and some applications. In: Linear Algebra and Its Applications. 1994 ; Vol. 197-198, No. C. pp. 93-112.
Download
@article{eaa5df029ea44b34a99ac8089de69744,
title = "A general determinantal identity of Sylvester type and some applications",
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.",
author = "B. Beckermann and G. M{\"u}hlbach",
year = "1994",
doi = "10.1016/0024-3795(94)90483-9",
language = "English",
volume = "197-198",
pages = "93--112",
journal = "Linear Algebra and Its Applications",
issn = "0024-3795",
publisher = "Elsevier Inc.",
number = "C",

}

Download

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 -