RT info:eu-repo/semantics/article
T1 Algebraic linearizations of matrix polynomials
A1 Chan, Eunice Y.S.
A1 Corless, Robert M.
A1 González Vega, Laureano
A1 Sendra Pons, Juan Rafael
A1 Sendra Pons, Juana
K1 Companion matrices
K1 Linearization
K1 Matrix polynomials
K1 Block upper Hessenberg
K1 Matemáticas
K1 Mathematics
AB We show how to construct linearizations of matrix polynomials za(z)d0+c0, a(z)b(z), a(z) +b(z)(when deg (b(z))<deg (a(z))), and za(z)d0b(z) +c0from linearizations of the component parts, a(z)and b(z). This allows the extension to matrix polynomials of a new companion matrix construction.
PB Elsevier
SN 0024-3795
YR 2019
FD 2019-02-15
LK http://hdl.handle.net/10017/49681
UL http://hdl.handle.net/10017/49681
LA eng
NO Part of this work was developed while R.M.Corless was visiting the University of Alcalá, in the frame of the project Giner de los Rios. We acknowledge the support of the Ontario Graduate Institution, the National Science & Engineering Research Council of Canada, the University of Alcalá, the Rotman Institute of Philosophy, the Ontario Research Centre of Computer Algebra, and Western Univ.
NO Ministerio de Economía y Competitividad
DS MINDS@UW
RD 19-abr-2024