Maximum singular value and power of an interval matrix

Hyo‐Sung Ahn, YangQuan Chen, Kevin L. Moore · 2006

In this paper we provide solutions for the problems of finding the maximum singular value of an interval matrix and computing the power of an interval matrix at a specified order. First, to calculate the exact value of the maximum singular value of an interval matrix we make use of a solution to finding the eigenvalues of a symmetric interval matrix. Second, we use a sensitivity transfer method to prove that the power of an interval matrix can be found from a set of vertex matrices

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