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Article information
2013 , Volume 18, ¹ 3, p.80-109
Shary S.P., Sharaya I.A.
Recognizing solvability of interval equations and its application to data analysis
The paper considers the problem of recognizing solvability (nonemptyness of the solution set) for interval systems of linear algebraic equations. For its solution, we propose a method based on maximization of the recognizing functional of the solution set. As an application, we propose a new method for parameter estimation of the linear models from experimental data under interval uncertainty ("maximum consistency method''). An outlier detection technique is developed. Comparisons between maximum consistency method and traditional least squares method are presented.
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Keywords: interval systems of equations, recognizing functional, identification problem, interval uncertainty, maximum consistency method
Author(s):
Shary Sergey Petrovich
Dr. , Senior Scientist
Position: Leading research officer
Office: Institute of Computational Technologies SB RAS
Address: 630090, Russia, Novosibirsk, Ac. Lavrentiev ave, 6
Phone Office: (3832) 30 86 56
E-mail: shary@ict.nsc.ru
Sharaya Irene Alexandrovna
Position: Research Scientist
Office: Institute of Computational Technologies SB RAS
Address: 630090, Russia, Novosibirsk, Ac. Lavrentiev ave, 6
E-mail: sharia@ict.nsc.ru
Bibliography link:
Shary S.P., Sharaya I.A. Recognizing solvability of interval equations and its application to data analysis // Computational technologies. 2013. V. 18. ¹ 3. P. 80-109
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