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National Repository of Grey Literature

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Does a Singular Symmetric Interval Matrix Contain a Symmetric Singular Matrix? Rohn, Jiří We consider the conjecture formulated in the title concerning existence of a symmetric singular matrix in a singular symmetric interval matrix. We show by means of a counterexample that it is generally not valid, and we prove that it becomes true under an additional assumption of positive semide niteness of the midpoint matrix. The proof is constructive. Fulltext: content.csg - PDF Plný tet: 0505752-av1 - PDF Detailed record

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