Geodesic
Two inverse eigenproblems for symmetric doubly arrow matrices
The electronic journal of linear algebra, Tome 18 (2009), pp. 700-718.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper, the problem of constructing a real symmetric doubly arrow matrix A from two special kinds of spectral information is considered. The first kind is the minimal and maximal eigenvalues of all leading principal submatrices of A, and the second kind is one eigenvalue of each leading principal submatrix of A together with one eigenpair of A. Sufficient conditions for both eigenproblems to have a solution and sufficient conditions for both eigenproblems have a nonnegative solution are given in this paper. The results are constructive in the sense that they generate algorithmic procedures to compute the solution matrix.
Classification : 65F15, 65F18, 15A18
Keywords: symmetric doubly arrow matrices, inverse eigenproblem 
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     author = {Pickmann, Hubert and Egana, Juan C. and Soto, Ricardo L.},
     title = {Two inverse eigenproblems for symmetric doubly arrow matrices},
     journal = {The electronic journal of linear algebra},
     pages = {700--718},
     publisher = {mathdoc},
     volume = {18},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_2009__18__a7/}
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Pickmann, Hubert; Egana, Juan C.; Soto, Ricardo L. Two inverse eigenproblems for symmetric doubly arrow matrices. The electronic journal of linear algebra, Tome 18 (2009), pp. 700-718. http://geodesic.mathdoc.fr/item/ELA_2009__18__a7/