Bueno Cachadiña, María IsabelTerán Vergara, Fernando de2015-12-112015-12-112014Linear and Multilinear Algebra, 62 (2014) 1, pp. 39-620308-1087https://hdl.handle.net/10016/22085In 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.23application/pdfeng© 2014 Taylor & Francispolynomial eigenvalue problemFiedler pencilsmatrix polynomialslinearizationseigenvectorminimal basessymmetric matrix polynomialsmatrix polynominlsbackward errorlinear-systemsvector-spaceseigenproblemsresearch articleMatemáticas10.1080/03081087.2012.762713open access39162Linear and Multilinear Algebra62AR/0000014501