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International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics

SCAN 2015: Scientific Computing, Computer Arithmetic, and Validated Numerics pp 201–208Cite as

Interval Regularization Approach to the Firordt Method of the Spectrophotometric Analysis of the Non-separated Mixtures

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9553))

Abstract

This paper describes the author’s experiences with application the so-called interval regularization approach to one of the chemical analysis methods, specifically the Firordt method – the spectrophotometric analysis of non-separated mixtures. In our approach, the uncertainty is described using intervals. The solution can be found for well-determined and overdetermined systems (when the number of the measurements exceeds number of the mixture components), also interval statement considers measurements errors. Exact rational computations are important part of the technique of solving interval task.

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Authors and Affiliations

  1. Faculty of Computational Mathematics and Informatics, South Ural State University (National Research University), Lenin prospekt 76, 454080, Chelyabinsk, Russia

    Valentin Golodov

Authors
  1. Valentin Golodov
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Correspondence to Valentin Golodov .

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Editors and Affiliations

  1. Institute of Computer Science, University of Würzburg, Würzburg, Germany

    Marco Nehmeier

  2. Universität Würzburg, Würzburg, Germany

    Jürgen Wolff von Gudenberg

  3. Department of Mathematics, Uppsala University, Uppsala, Sweden

    Warwick Tucker

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Golodov, V. (2016). Interval Regularization Approach to the Firordt Method of the Spectrophotometric Analysis of the Non-separated Mixtures. In: Nehmeier, M., Wolff von Gudenberg, J., Tucker, W. (eds) Scientific Computing, Computer Arithmetic, and Validated Numerics. SCAN 2015. Lecture Notes in Computer Science(), vol 9553. Springer, Cham. https://doi.org/10.1007/978-3-319-31769-4_16

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  • DOI: https://doi.org/10.1007/978-3-319-31769-4_16

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-31768-7

  • Online ISBN: 978-3-319-31769-4

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