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

Autor:	A. A. Tselishcheva, Konstantin K. Semenov
Rok vydání:	2018
Předmět:	Speedup Applied Mathematics Bisection Root (chord) 02 engineering and technology 021001 nanoscience & nanotechnology 01 natural sciences Metrology 010309 optics Nonlinear system 0103 physical sciences Applied mathematics 0210 nano-technology Interval method Instrumentation Mathematics
Zdroj:	Measurement Techniques. 61:203-209
ISSN:	1573-8906 0543-1972
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d4046f7f241bb438dce9d12501506f11 https://doi.org/10.1007/s11018-018-1410-9 Zobrazit plný text záznamu Full text from SpringerLink