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Parameter Partition Methods for Optimal Numerical Solution of Interval Linear Systems

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Part of the book series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design ((NNFM,volume 101))

Abstract

The paper presents a new class of adaptive and sequentially guaranteeing PPS-methods, based on partitioning parameter sets, for computing optimal (exact) component-wise bounds of the solution sets to interval linear systems with square regular matrices.

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© 2008 Springer-Verlag Berlin Heidelberg

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Shary, S.P. (2008). Parameter Partition Methods for Optimal Numerical Solution of Interval Linear Systems. In: Krause, E., Shokin, Y.I., Resch, M., Shokina, N. (eds) Computational Science and High Performance Computing III. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 101. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69010-8_14

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  • DOI: https://doi.org/10.1007/978-3-540-69010-8_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-69008-5

  • Online ISBN: 978-3-540-69010-8

  • eBook Packages: EngineeringEngineering (R0)

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