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Solving Systems of Interval Linear Equations with Use of Modified Interval Division Procedure

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6068))

Abstract

A new approach to interval division based on the concept of “interval extended zero” method [10,11] is proposed. This modified interval devision is used for solving the systems of interval linear equations. The seven known examples are used as an illustration of the method’s efficacy. It is shown that a new method provides results close to the so-called maximal inner solution. The method not only allows us to decrease the excess width effect, but makes it possible to avoid the inverted interval solutions too.

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Dymova, L., Pilarek, M., Wyrzykowski, R. (2010). Solving Systems of Interval Linear Equations with Use of Modified Interval Division Procedure. In: Wyrzykowski, R., Dongarra, J., Karczewski, K., Wasniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2009. Lecture Notes in Computer Science, vol 6068. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14403-5_45

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  • DOI: https://doi.org/10.1007/978-3-642-14403-5_45

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14402-8

  • Online ISBN: 978-3-642-14403-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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