Inverse eigenvalue problem of bisymmetric nonnegative matrices
Keywords:
Bisymmetric matrices, Perron eigenvalue, Spectrum of matrixAbstract
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.
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