RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
 General information Latest issue Archive Impact factor Subscription Guidelines for authors License agreement Submit a manuscript Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Mat. Zametki: Year: Volume: Issue: Page: Find

 Mat. Zametki, 2016, Volume 100, Issue 2, Pages 212–228 (Mi mz11131)

A Factorization Method for Products of Holomorphic Matrix Functions

A. G. Kamalianab

a Yerevan State University
b Institute of Mathematics, National Academy of Sciences of Armenia

Abstract: A class of matrix functions defined on a contour which bounds a finitely connected domain in the complex plane is considered. It is assumed that each matrix function in this class can be explicitly represented as a product of two matrix functions holomorphic in the outer and the inner part of the contour, respectively. The problem of factoring matrix functions in the class under consideration is studied. A constructive method reducing the factorization problem to finitely many explicitly written systems of linear algebraic equations is proposed. In particular, explicit formulas for partial indices are obtained.

Keywords: matrix function, factorization, partial index.

DOI: https://doi.org/10.4213/mzm11131

Full text: PDF file (548 kB)
First page: PDF file
References: PDF file   HTML file

English version:
Mathematical Notes, 2016, 100:2, 213–228

Bibliographic databases:

Document Type: Article
UDC: 517.544

Citation: A. G. Kamalian, “A Factorization Method for Products of Holomorphic Matrix Functions”, Mat. Zametki, 100:2 (2016), 212–228; Math. Notes, 100:2 (2016), 213–228

Citation in format AMSBIB
\Bibitem{Kam16} \by A.~G.~Kamalian \paper A Factorization Method for Products of Holomorphic Matrix Functions \jour Mat. Zametki \yr 2016 \vol 100 \issue 2 \pages 212--228 \mathnet{http://mi.mathnet.ru/mz11131} \crossref{https://doi.org/10.4213/mzm11131} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=3588839} \elib{http://elibrary.ru/item.asp?id=26414290} \transl \jour Math. Notes \yr 2016 \vol 100 \issue 2 \pages 213--228 \crossref{https://doi.org/10.1134/S0001434616070178} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000382193300017} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84983770642}