TY - JOUR
T1 - Inverse eigenproblems of real symmetric doubly arrowhead matrices
AU - Pickmann-Soto1, H.
AU - Arela, Susana
AU - Egaña, J.
AU - Carrasco Olivera, D.
N1 - Publisher Copyright:
© 2020 H. Pickmann, S. Arela, J. Egafia, and D. Carrasco.
PY - 2020
Y1 - 2020
N2 - We consider two inverse eigenproblems for a real symmetric doubly arrowhead matrix A®, which consist of constructing An (q) from two special kinds of spectra information. These problems were introduced in [11], where the principal results are sufficient conditions for both problems to have a real solution. In this paper, we improve such conditions, in the sense that one of the given conditions implies the rest. The results are constructive and generate one numerical procedure to construct the solution matrix An®.
AB - We consider two inverse eigenproblems for a real symmetric doubly arrowhead matrix A®, which consist of constructing An (q) from two special kinds of spectra information. These problems were introduced in [11], where the principal results are sufficient conditions for both problems to have a real solution. In this paper, we improve such conditions, in the sense that one of the given conditions implies the rest. The results are constructive and generate one numerical procedure to construct the solution matrix An®.
KW - Doubly arrowhead matrices
KW - Inverse eigenvalue problem
KW - Real Symmetric matrices
UR - https://www.scopus.com/pages/publications/85097435014
U2 - 10.22199/issn.0717-6279-2020-05-0080
DO - 10.22199/issn.0717-6279-2020-05-0080
M3 - Article
AN - SCOPUS:85097435014
SN - 0716-0917
VL - 39
SP - 1315
EP - 1331
JO - Proyecciones
JF - Proyecciones
IS - 5
ER -