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Analytical aspects of the interval unilateral quadratic matrix equations and their united solution sets


علمی-پژوهشی (وزارت علوم)/ISC (19 صفحه - از 223 تا 241)


This paper introduces the emph{interval unilateral quadratic matrix equation}, IUQe and attempts to find various analytical results on its AE-solution sets in which A,B and CCC are known real interval matrices, while X is an unknown matrix. These results are derived from a generalization of some results of Shary. We also give sufficient conditions for non-emptiness of some quasi-solution sets, provided that A is regular. As the most common case, the united solution set has been studied and two direct methods for computing an outer estimation and an inner estimation of the united solution set of an interval unilateral quadratic matrix equation are proposed. The suggested techniques are based on nonlinear programming as well as sensitivity analysis.

کلیدواژه ها:

Sensitivity Analysis ،nonlinear programming ،AE-solution sets ،interval unilateral quadratic matrix equation ،united solution set

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