Perron similarities and the nonnegative inverse eigenvalue problem
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DOI: 10.1090/tran/9596
Abstract: The longstanding nonnegative inverse eigenvalue problem (NIEP) is to determine which multisets of complex numbers occur as the spectrum of an entry-wise nonnegative matrix. Although there are some well-known necessary conditions, a solution to the… read more here.
Keywords: inverse eigenvalue; nonnegative inverse; eigenvalue problem; perron similarities ... See more keywords
The Diagonalizable Nonnegative Inverse Eigenvalue Problem
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DOI: 10.1515/spma-2018-0023
Abstract: Abstract In this articlewe provide some lists of real numberswhich can be realized as the spectra of nonnegative diagonalizable matrices but which are not the spectra of nonnegative symmetric matrices. In particular, we examine the… read more here.
Keywords: eigenvalue problem; nonnegative inverse; nonnegative diagonalizable; inverse eigenvalue ... See more keywords