اشترك بالحزمة الذهبية واحصل على وصول غير محدود شمرا أكاديميا
تسجيل مستخدم جديدRow Cones, Perron Similarities, and Nonnegative Spectra
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In further pursuit of the diagonalizable emph{real nonnegative inverse eigenvalue problem} (RNIEP), we study the relationship between the emph{row cone} $mathcal{C}_r(S)$ and the emph{spectracone} $mathcal{C}(S)$ of a Perron similarity $S$. In the process, a new kind of matrix, emph{row Hadamard conic} (RHC), is defined and related to the D-RNIEP. Characterizations are given when $mathcal{C}_r(S) = mathcal{C}(S)$, and explicit examples are given for all possible set-theoretic relationships between the two cones. The symmetric NIEP is the special case of the D-RNIEP in which the Perron similarity $S$ is also orthogonal.
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