Quality of the Solution Sets of Parameter-Dependent Interval Linear Systems
نویسندگان
چکیده
منابع مشابه
Quality of the Solution Sets of Parameter-Dependent Interval Linear Systems
Consider linear systems whose matrix and right-hand side vector depend affine-linearly on parameters varying within prescribed bounds We present some sufficient conditions under which the interval hull (or some bounds) of the solution set of a parametrised interval linear system coincides with the interval hull (or bounds) of the non-parametric interval linear system corresponding to the parame...
متن کاملQuality of the Solution Sets of Parameter-Dependent Interval Linear Systems
Consider linear systems whose matrix and right-hand side vector depend affine-linearly on parameters varying within prescribed bounds We present some sufficient conditions under which the interval hull (or some bounds) of the solution set of a parametrised interval linear system coincides with the interval hull (or bounds) of the non-parametric interval linear system corresponding to the parame...
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We present a solution set description for systems of complex interval equations, where complex intervals have a rectangular form. The solution set is described by a system of nonlinear inequalities, which can be used to obtain a very accurate approximation of the interval hull of the solution set. In our numerical experiments we exploit this approximation to study overestimation for common comp...
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The work presents a necessary and sufficient condition for the generalized AE-solution sets to interval linear systems of equations to be unbounded. The criterion requires solvability of one of the totality of 2 linear inequalities constructed from the initial interval system. It is shown that the problem of recognizing the boundedness of AE-solution sets is NP-complete in general.
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The computation of the exact solution set of an interval linear system is a nontrivial task [2, 13]. Even in two and three dimensions a lot of work has to be done. We demonstrate two different realizations. The first approach (see [16]) is based on Java, Java3D, and the BigRational package [21]. An applet allows modifications of the matrix coefficients and/or the coefficients of the right hand ...
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ژورنال
عنوان ژورنال: ZAMM
سال: 2002
ISSN: 0044-2267,1521-4001
DOI: 10.1002/1521-4001(200210)82:10<723::aid-zamm723>3.0.co;2-a