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1996 | OriginalPaper | Chapter

Linear Interpolation and Estimation Using Interval Analysis

Authors : S. M. Markov, E. D. Popova

Published in: Bounding Approaches to System Identification

Publisher: Springer US

Included in: Professional Book Archive

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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.

previous chapter Volume-Optimal Inner and Outer Ellipsoids
next chapter Adaptive Approximation of Uncertainty Sets for Linear Regression Models
Metadata
Title
Linear Interpolation and Estimation Using Interval Analysis
Authors
S. M. Markov
E. D. Popova
Copyright Year
1996
Publisher
Springer US
Book
Bounding Approaches to System Identification

Print ISBN: 978-1-4757-9547-9

Electronic ISBN: 978-1-4757-9545-5

Copyright Year: 1996

DOI
https://doi.org/10.1007/978-1-4757-9545-5_9