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Measurement Techniques
Published in: Measurement Techniques 3/2018

05-07-2018 | GENERAL PROBLEMS OF METROLOGY AND MEASUREMENT TECHNIQUE

Interval Method of Bisection for a Metrologically Based Search for the Roots of Equations with Inaccurately Specified Initial Data

Authors: K. K. Semenov, A. A. Tselishcheva

Published in: Measurement Techniques | Issue 3/2018

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Abstract

A modification of the method of bisection for the purpose of searching for the root of a nonlinear equation is presented. Through the use of the modification, it becomes possible to use the method of bisection to solve equations of indirect measurements in full agreement with the metrological requirements imposed on the results of indirect measurements. It is shown that through the use of data on inaccuracies in the coefficients of equations that are the results of direct measurements it becomes possible to speed up the search for the root as well as achieving a reliable estimate of the characteristics of the error.
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Literature
1.
Yu. I. Shokin, Interval Analysis, Nauka, Novosibirsk (1981).MATH
2.
K. K. Semenov and G. N. Solopchenko, “A study of the combined method of metrological self-tracking of programs for processing the results of measurements,” Izmer. Tekhn., No. 4, 14–19 (2011).
3.
V. Ya. Kreinovich and M. I. Pavlovich, “Estimation of the error of the result of indirect measurements by a computational experiment,” Izmer. Tekhn., No. 3, 11–13 (1985).
4.
V. A. Slaev and A. G. Chunovkina, Certification of Assurance Programs Used in Metrology: Handbook, Professional,St. Petersburg (2009).
5.
G. N. Solopchenko, “Principles of normalization, determination, and control of the characteristics of error in computations performed in an information and measurement system,” Izmer. Tekhn., No. 3, 9–11 (1985).
6.
Yu. A. Kuderov, Yu. E. Lukashov, and A. A. Satanovskii, “Metrological certification of software of measuring instruments (state and outlook),” Zakonodat. Prikl. Metrol., No. 4, 39–44 (2003).
7.
L. I. Turchak, Foundations of Numerical Methods, Nauka, Moscow (1987).MATH
8.
A. Griewank, “On automatic differentiation,” in: Mathematical Programming: Recent Developments and Applications, M. Iri and K. Tanabe (eds.), Kluwer Academic (1989), pp. 83–108.
9.
GOST 6651–2009, Platinum, Nickel, and Copper and Nickel Thermal Converters.
10.
MEK 60751:2008, Industrial Platinum Resistance Thermometers and Platinum Temperature Sensors.
Metadata
Title
Interval Method of Bisection for a Metrologically Based Search for the Roots of Equations with Inaccurately Specified Initial Data
Authors
K. K. Semenov
A. A. Tselishcheva
Publication date
05-07-2018
Publisher
Springer US
Published in
Measurement Techniques / Issue 3/2018
Print ISSN: 0543-1972
Electronic ISSN: 1573-8906
DOI
https://doi.org/10.1007/s11018-018-1410-9

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