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Linear Interpolation and Estimation Using Interval Analysis

In: Bounding Approaches to System Identification

Author

Listed:
  • S. M. Markov

    (Institute of Biophysics, Bulgarian Academy of Sciences, Division of Mathematical Modelling in Biology)

  • E. D. Popova

    (Institute of Biophysics, Bulgarian Academy of Sciences, Division of Mathematical Modelling in Biology)

Abstract

This chapter considers interpolation and curve fitting using generalized polynomials under bounded measurement uncertainties from the point of view of the solution set (not the parameter set). It characterizes and presents the bounding functions for the solution set using interval arithmetic. Numerical algorithms with result verification and corresponding programs for the computation of the bounding functions in given domain are reported. Some examples are presented.

Suggested Citation

  • S. M. Markov & E. D. Popova, 1996. "Linear Interpolation and Estimation Using Interval Analysis," Springer Books, in: Mario Milanese & John Norton & Hélène Piet-Lahanier & Éric Walter (ed.), Bounding Approaches to System Identification, chapter 9, pages 139-157, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4757-9545-5_9
    DOI: 10.1007/978-1-4757-9545-5_9
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