On nonnegative matrices with prescribed eigenvalues and diagonal entries

We consider the problem of the existence and construction of nonnegative matrices with prescribed spectrum and diagonal entries. Necessary and sufficient conditions have been obtained for n≤3, by Perfect and Fiedler, in the cases nonnegative and nonnegative symmetric, respectively. For n≥4, they obt...

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Veröffentlicht in:	Linear algebra and its applications 2018-11, Vol.556, p.400-420
Hauptverfasser:	Alfaro, Jaime H., Pastén, Germain, Soto, Ricardo L.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Construction Eigenvalues Inverse eigenvalue problem Inverse problems Linear algebra Matrix Nonnegative matrices with prescribed diagonal entries Perturbation Structured matrices Symmetry
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