Inverse eigenproblems of real symmetric doubly arrowhead matrices

Abstract We consider two inverse eigenproblems for a real symmetric doubly arrowhead matrix A n (q) , which consist of constructing A n (q) from two special kinds of spectra information. These problems were introduced in [11], where the principal results are sufficient conditions for both proble...

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Autores principales:	Pickmann-Soto,H., Arela,Susana, Egaña-Arancibia,J.C., Carrasco-Olivera,D.
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2020
Materias:	Real Symmetric matrices Doubly arrowhead matrices Inverse eigenvalue problem
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000501315
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spelling	oai:scielo:S0716-091720200005013152020-11-16Inverse eigenproblems of real symmetric doubly arrowhead matricesPickmann-Soto,H.Arela,SusanaEgaña-Arancibia,J.C.Carrasco-Olivera,D. Real Symmetric matrices Doubly arrowhead matrices Inverse eigenvalue problem Abstract We consider two inverse eigenproblems for a real symmetric doubly arrowhead matrix A n (q) , which consist of constructing A n (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 A n (q) .info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.39 n.5 20202020-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000501315en10.22199/issn.0717-6279-2020-05-0080
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Real Symmetric matrices Doubly arrowhead matrices Inverse eigenvalue problem
spellingShingle	Real Symmetric matrices Doubly arrowhead matrices Inverse eigenvalue problem Pickmann-Soto,H. Arela,Susana Egaña-Arancibia,J.C. Carrasco-Olivera,D. Inverse eigenproblems of real symmetric doubly arrowhead matrices
description	Abstract We consider two inverse eigenproblems for a real symmetric doubly arrowhead matrix A n (q) , which consist of constructing A n (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 A n (q) .
author	Pickmann-Soto,H. Arela,Susana Egaña-Arancibia,J.C. Carrasco-Olivera,D.
author_facet	Pickmann-Soto,H. Arela,Susana Egaña-Arancibia,J.C. Carrasco-Olivera,D.
author_sort	Pickmann-Soto,H.
title	Inverse eigenproblems of real symmetric doubly arrowhead matrices
title_short	Inverse eigenproblems of real symmetric doubly arrowhead matrices
title_full	Inverse eigenproblems of real symmetric doubly arrowhead matrices
title_fullStr	Inverse eigenproblems of real symmetric doubly arrowhead matrices
title_full_unstemmed	Inverse eigenproblems of real symmetric doubly arrowhead matrices
title_sort	inverse eigenproblems of real symmetric doubly arrowhead matrices
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2020
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000501315
work_keys_str_mv	AT pickmannsotoh inverseeigenproblemsofrealsymmetricdoublyarrowheadmatrices AT arelasusana inverseeigenproblemsofrealsymmetricdoublyarrowheadmatrices AT eganaarancibiajc inverseeigenproblemsofrealsymmetricdoublyarrowheadmatrices AT carrascooliverad inverseeigenproblemsofrealsymmetricdoublyarrowheadmatrices
_version_	1718439884796985344

Inverse eigenproblems of real symmetric doubly arrowhead matrices

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