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On the Closest Stable/Unstable Nonnegative Matrix and Related Stability Radii

On the Closest Stable/Unstable Nonnegative Matrix and Related Stability Radii

We consider the problem of computing the closest stable/unstable nonnegative matrix to a given real matrix. The distance between matrices is measured in the Frobenius norm. The problem is addressed for two types of stability: the Schur stability (the matrix is stable if its spectral radius is smaller than one) …