Inverse eigenvalue problem ‎of‎ bisymmetric nonnegative matrices

Alimohammad Nazari, Parvin Aslami, Atiyeh Nezami

Abstract


 

 

This paper considers an inverse eigenvalue problem for‎ bisymmetric nonnegative matrices‎. ‎We first discuss the specified‎ structure of the bisymmetric matrices‎. ‎Then for a given set of real‎ numbers of order maximum ‎‎five‎ with special conditions‎, ‎we construct‎ a nonnegative bisymmetric matrix such that the given set is its spectrum‎‎. ‎Finally, we solve the problem for ‎arbitrary ‎order $n$ in the special case of the spectrum‎.


Keywords


Bisymmetric ‎matrices;‎ ‎Perron ‎eigenvalue;‎ ‎Spectrum of‎ ‎matrix‎

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