NDLI: The condition number of the double-period method

Content Provider	Springer Nature Link
Author	Lutskii, K. I.
Copyright Year	2012
Abstract	The double-period method [1] uses special trigonometric series for approximation and extrapolation of nonperiodical functions. It has a number of advantages in comparison with other methods. In the previous work [2], the properties of the method and its parameters were studied from the standpoint of solving applied problems. However, the precision of the method was estimated empirically, on the basis of studying the model examples. The principal difficulty is the need to solve an ill-posed system of linear equations. This work is devoted to studying the condition number of the matrix of the double-period method. The optimal parameters of the method are adjusted to allow controlling the arithmetic calculation errors and achieving better approximation accuracy.
Starting Page	236
Ending Page	240
Page Count	5
File Format	PDF
ISSN	20700482
Journal	Mathematical Models and Computer Simulations
Volume Number	4
Issue Number	2
e-ISSN	20700490
Language	English
Publisher	SP MAIK Nauka/Interperiodica
Publisher Date	2012-04-03
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	approximation of functions double period condition number Simulation and Modeling Mathematical Modeling and Industrial Mathematics
Content Type	Text
Resource Type	Article
Subject	Modeling and Simulation Computational Mathematics

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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The condition number of the double-period method