%0 Journal Article %A Chan, Eunice Y.S. %A Corless, Robert M. %A González Vega, Laureano %A Sendra Pons, Juan Rafael %A Sendra Pons, Juana %T Algebraic linearizations of matrix polynomials %D 2019 %@ 0024-3795 %U http://hdl.handle.net/10017/49681 %X 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. %K Companion matrices %K Linearization %K Matrix polynomials %K Block upper Hessenberg %K Matemáticas %K Mathematics %~ Biblioteca Universidad de Alcala