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Outer Estimation of Generalized Solution Sets to Interval Linear Systems

In: Developments in Reliable Computing

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  • Sergey P. Shary

    (Institute of Computational Technologies)

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.

Suggested Citation

  • Sergey P. Shary, 1999. "Outer Estimation of Generalized Solution Sets to Interval Linear Systems," Springer Books, in: Tibor Csendes (ed.), Developments in Reliable Computing, pages 323-335, Springer.
    • Handle: RePEc:spr:sprchp:978-94-017-1247-7_25
    DOI: 10.1007/978-94-017-1247-7_25
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