Notes on Interval Matrix Theory
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Interval matrix theory is a subfield of linear algebra concerned with obtaining solutions to systems of equations $Ax = b$, where the components $A, b$ take values in an interval.
That is, in an interval matrix equation we have an interval matrix $A^I = [\underline{A}, \overline{A}] = {A; \underline{A} \leq A \leq \overline{A}}$. We denote the center matrix $A^c = \frac{1}{2}(\underline{A} + \overline{A})$ and the radius $\Delta = \frac{1}{2}(\overline{A} - \underline{A})$.