@article{Pickmann Soto_Arela Pérez_Egaña Arancibia_Carrasco Olivera_2019, title={On the inverse eigenproblem for symmetric and nonsymmetric arrowhead matrices}, volume={38}, url={https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3531}, DOI={10.22199/issn.0717-6279-2019-04-0053}, abstractNote={We present a new construction of a symmetric arrow matrix from a particular spectral information: let λ(n) 1 be the minimal eigenvalue of the matrix and λj (j) , j = 1, 2, . . . , n the maximal eigenvalues of all leading principal submatrices of the matrix. We use such a procedure to construct a nonsymmetric arrow matrix from the same spectral information plus to an eigenvector x(n) = (x1, x2, . . . , xn), so that (x(n), λn (n)) is an eigenpair of the matrix. Moreover, our results generate an algorithmic procedure to compute a solution matrix.}, number={4}, journal={Proyecciones (Antofagasta, On line)}, author={Pickmann Soto, Hubert Rohner and Arela Pérez, Susana and Egaña Arancibia, Juan Carlos and Carrasco Olivera, Dante}, year={2019}, month={Oct.}, pages={811-828} }