On the determination of the interval hull of linear interval equations (Q806947)

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scientific article; zbMATH DE number 4205860
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On the determination of the interval hull of linear interval equations
scientific article; zbMATH DE number 4205860

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    On the determination of the interval hull of linear interval equations (English)
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    1991
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    If the solution set of an n-dimensional linear system of interval equations, \(Ax=b,\) lies in one orthant of \(R^ n\) only, or if A is an inverse-stable interval matrix, the interval hull of the solution set can be determined in a finite number of steps. They mainly consist in generating and solving a finite number of linear systems of noninterval equations the solutions of which form the extremum points of the above- mentioned hull.
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    linear system of interval equations
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    inverse-stable interval matrix
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    interval hull
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