| Key Words |
P-Solutions; Structured Systems; Interval Parametric Systems |
| Abstract |
It is known that many analysis problems arising in science and engineering, which contain parametric uncertainties, can be modeled by a system of linear algebraic equations where the elements of the matrix and right-hand side vector depend linearly on a number of interval parameters. In certain cases, the linear interval parametric (LIP) system has a specific structure. Recently, an efficient iterative method for a type of such structured LIP systems has been suggested which yields the approximate solution in the form of an interval vector. In the present paper, it is shown that the latter method can be modified in an appropriate manner to produce new so-called p-solutions of the LIP system considered. The properties of the p-solutions are analyzed. It is shown that the p-solutions can be used to construct new methods for determining various enclosing solutions of structured systems. |
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