M. Bueno

activity

20172022

collaborators

3 papers

math.RA2022

Linear maps preserving the Lorentz spectrum of $3 \times 3$ matrices

M. I. Bueno, Ben Faktor, Rhea Kommerell +2

For a given $3 \times 3$ real matrix $A$ , the eigenvalue complementarity problem relative to the Lorentz cone consists of finding a real number $λ$ and a nonzero vector $x \in \mat…

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 $P (λ)$ of odd degree, a block-symmetric block-tridiagonal pencil $T_{P} (λ)$ was introduced by Antoniou and Vologiannidis in 2004, and a…

Linear maps preserving the Lorentz spectrum of 3×3 matrices

Conditioning and backward errors of eigenvalues of homogeneous matrix polynomials under Möbius transformations

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

Linear maps preserving the Lorentz spectrum of $3 \times 3$ matrices