RT Journal Article
T1 Eigenvectors and minimal bases for some families of Fiedler-like linearizations
A1 Bueno Cachadiña, María Isabel
A1 Terán Vergara, Fernando de
AB In this paper, we obtain formulas for the left and right eigenvectors and minimal bases of some families of Fiedler-like linearizations of square matrix polynomials. In particular, for the families of Fiedler pencils, generalized Fiedler pencils and Fiedler pencils with repetition. These formulas allow us to relate the eigenvectors and minimal bases of the linearizations with the ones of the polynomial. Since the eigenvectors appear in the standard formula of the condition number of eigenvalues of matrix polynomials, our results may be used to compare the condition numbers of eigenvalues of the linearizations within these families and the corresponding condition number of the polynomial eigenvalue problem.
PB Taylor & Francis
SN 0308-1087
YR 2014
FD 2014
LK https://hdl.handle.net/10016/22085
UL https://hdl.handle.net/10016/22085
LA eng
DS e-Archivo
RD 1 sept. 2024