Conditioning and backward error of block-symmetric block-tridiagonal linearizations of matrix polynomials

M. I. Bueno, F. M. Dopico, S. Furtado +1

For each square matrix polynomial $P(\lambda )$ of odd degree, a block-symmetric block-tridiagonal pencil ${\mathcal{T}}_P(\lambda )$ was introduced by Antoniou and Vologiannidis in 2004, and a…