Modified Method for the Solution of Dual Trigonometric Series Relations

Choudhary, A and Martha, SC and Chakrabarti, A (2020) Modified Method for the Solution of Dual Trigonometric Series Relations. In: Proceedings of the National Academy of Sciences India Section A - Physical Sciences, 90 (3). pp. 437-445.

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Abstract

Two basic dual trigonometric series relations involving a countable infinite number of unknowns are considered for the determination of the unknowns. The numerical values of the unknowns are determined with the help of the methods of algebraic least-squares approximation and singular value decomposition. The dual trigonometric series and the corresponding functions are compared with the existing results. The errors are also computed to show the efficiency of these methods. The study indicates that the method of algebraic least squares is more straightforward, simpler and computationally more efficient as compared to the available methods

Item Type:	Journal Article
Publication:	Proceedings of the National Academy of Sciences India Section A - Physical Sciences
Publisher:	Springer
Additional Information:	The copyright for this article belongs to Springer.
Keywords:	Algebraic least-squares approximation; Dual trigonometric series; Overdetermined system; Singular value decomposition method
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	15 Feb 2023 03:29
Last Modified:	15 Feb 2023 03:29
URI:	https://eprints.iisc.ac.in/id/eprint/80245

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