On Interval Systems [<Emphasis Type="Italic">x</Emphasis>] = [<Emphasis Type="Italic">A</Emphasis>][<Emphasis Type="Italic">x</Emphasis>] + [<Emphasis Type="Italic">b</Emphasis>] and the Powers of Interval Matrices in Complex Interval Arithmetics |
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Authors: | Hans-Robert Arndt |
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Affiliation: | 1.Fachbereich Mathematik,Universit?t Rostock,Rostock,Germany |
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Abstract: | For the interval system of equations defined by x] = A]x] + b] we derive necessary and sufficient criteria for the existence of solutions x]. Furthermore we give necessary and sufficient criteria for the convergence of powers of A]. In contrast to former results we treat complex interval arithmetics. |
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