An alternative proof of Pellet's theorem for matrix polynomials. Issue 4 (3rd April 2018)
- Record Type:
- Journal Article
- Title:
- An alternative proof of Pellet's theorem for matrix polynomials. Issue 4 (3rd April 2018)
- Main Title:
- An alternative proof of Pellet's theorem for matrix polynomials
- Authors:
- Melman, A.
- Abstract:
- ABSTRACT: We propose an alternative proof of Pellet's theorem for matrix polynomials that, unlike existing proofs, does not rely on Rouché's theorem. A similar proof is provided for the generalization to matrix polynomials of a result by Cauchy that can be considered as a limit case of Pellet's theorem.
- Is Part Of:
- Linear & multilinear algebra. Volume 66:Issue 4(2018)
- Journal:
- Linear & multilinear algebra
- Issue:
- Volume 66:Issue 4(2018)
- Issue Display:
- Volume 66, Issue 4 (2018)
- Year:
- 2018
- Volume:
- 66
- Issue:
- 4
- Issue Sort Value:
- 2018-0066-0004-0000
- Page Start:
- 785
- Page End:
- 791
- Publication Date:
- 2018-04-03
- Subjects:
- Pellet's theorem -- Cauchy -- matrix polynomial -- matrix norm
12D10 -- 15A18 -- 30C15
Algebras, Linear -- Periodicals
Multilinear algebra -- Periodicals
512.505 - Journal URLs:
- http://www.tandfonline.com/loi/glma20#.VtWmVlLcuic ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.1080/03081087.2017.1322549 ↗
- Languages:
- English
- ISSNs:
- 0308-1087
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 5221.113000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 12426.xml