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Outer Estimation of Generalized Solution Sets to Interval Linear Systems

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Reliable Computing

Abstract

The work advances a numerical technique for computing enclosures of generalized AE-solution sets to interval linear systems of equations. We develop an approach (called algebraic) in which the outer estimation problem reduces to a problem of computing algebraic solutions of an auxiliary interval equation in Kaucher complete interval arithmetic.

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Shary, S.P. Outer Estimation of Generalized Solution Sets to Interval Linear Systems. Reliable Computing 5, 323–335 (1999). https://doi.org/10.1023/A:1009972404551

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