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- W1635248123 abstract "SUMMARY A new realizability criterion for the real nonnegative inverse eigenvalue problem is introduced. This criterion is a nontrivial extension of a powerful previous sufficient condition, based on negativity compensation . If the criterion is satisfied, then we can always construct a realizing matrix. It is also proved that this new criterion is easily adaptable to be sufficient for the construction of a symmetric nonnegative matrix with given spectrum. In a natural way, the criterion extends to a family of sufficient conditions for the problem to have a solution. Copyright © 2011 John Wiley & Sons, Ltd." @default.
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- W1635248123 date "2011-12-13" @default.
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- W1635248123 title "A family of realizability criteria for the real and symmetric nonnegative inverse eigenvalue problem" @default.
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- W1635248123 doi "https://doi.org/10.1002/nla.835" @default.
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