2020-10-20T17:10:35Z
http://oa.upm.es/cgi/oai2
oai:oa.upm.es:9285
2016-04-20T17:46:12Z
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Inverses of regular Hessenberg matrices
Abderramán Marrero, Jesús Carmelo
Tomeo Perucha, Venancio
Telecommunications
Mathematics
A new proof of the general representation for the entries of the inverse of any unreduced Hessenberg matrix of nite order is found. Also this formulation is extended to the inverses of reduced Hessenberg matrices. Those entries are given with proper Hessenbergians from the original matrix. It justies both the use of linear recurrences for such computations and some elementary properties of the inverse matrix. As an application of current interest in the theory of orthogonal polynomials on the complex plane, the resolvent matrix associated to a nite Hes- senberg matrix in standard form is calculated. The results are illustrated with two examples on the unit disk.
E.T.S.I. Telecomunicación (UPM)
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
2010
info:eu-repo/semantics/conferenceObject
Presentation at Congress or Conference
Proceedings of the 10th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2010 | 10th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2010 | 27/06/2010 - 30/06/2010 | Almeria, España
PeerReviewed
application/pdf
eng
http://gsii.usal.es/~CMMSE/index.php?option=com_content&task=view&id=15&Itemid=16
info:eu-repo/semantics/openAccess
http://oa.upm.es/9285/