Showing math.NAShow all
2 papers · 1 filter
math.NA2018
Conditioning and backward errors of eigenvalues of homogeneous matrix polynomials under Möbius transformations
Luis Miguel Anguas, María Isabel Bueno, Froilán M. Dopico
Möbius transformations have been used in numerical algorithms for computing eigenvalues and invariant subspaces of structured generalized and polynomial eigenvalue problems (PEPs).…
math.NA2017
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 of odd degree, a block-symmetric block-tridiagonal pencil was introduced by Antoniou and Vologiannidis in 2004, and a…