EXPLICIT INVERSE OF NEAR TOEPLITZ PENTADIAGONAL MATRICES RELATED TO HIGHER ORDER DIFFERENCE OPERATORS

Kurmanbek, Bakytzhan; Erlangga, Yogi; Amanbek, Yerlan

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dc.contributor.author	Kurmanbek, Bakytzhan
dc.contributor.author	Erlangga, Yogi
dc.contributor.author	Amanbek, Yerlan
dc.date.accessioned	2021-08-06T08:56:31Z
dc.date.available	2021-08-06T08:56:31Z
dc.date.issued	2021-06-08
dc.identifier.citation	Kurmanbek, B., Erlangga, Y., & Amanbek, Y. (2021). Explicit inverse of near Toeplitz pentadiagonal matrices related to higher order difference operators. Results in Applied Mathematics, 11, 100164. https://doi.org/10.1016/j.rinam.2021.100164	en_US
dc.identifier.issn	2590-0374
dc.identifier.uri	https://www.sciencedirect.com/science/article/pii/S2590037421000248?via%3Dihub
dc.identifier.uri	https://doi.org/10.1016/j.rinam.2021.100164
dc.identifier.uri	http://nur.nu.edu.kz/handle/123456789/5665
dc.description.abstract	This paper analyzes the inverse of near Toeplitz pentadiagonal matrices, arising from a finite-difference approximation to the fourth-order nonlinear beam equation. Explicit non-recursive inverse matrix formulas and bounds of norms of the inverse matrix are derived for the clamped–free and clamped–clamped boundary conditions. The bound of norms is then used to construct a convergence bound for the fixed-point iteration of the form u=f(u) for solving the nonlinear equation. Numerical computations presented in this paper confirm the theoretical results.	en_US
dc.language.iso	en	en_US
dc.publisher	Elsevier B.V.	en_US
dc.relation.ispartofseries	Results in Applied Mathematics;Volume 11, August 2021, 100164
dc.rights	Attribution-NonCommercial-ShareAlike 3.0 United States	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-sa/3.0/us/	*
dc.subject	Type of access: Open Access	en_US
dc.subject	Explicit formula	en_US
dc.subject	Finite difference	en_US
dc.subject	Fixed point method	en_US
dc.subject	Near Toeplitz	en_US
dc.subject	Nonlinear beam equation	en_US
dc.subject	Pentadiagonal matrices	en_US
dc.title	EXPLICIT INVERSE OF NEAR TOEPLITZ PENTADIAGONAL MATRICES RELATED TO HIGHER ORDER DIFFERENCE OPERATORS	en_US
dc.type	Article	en_US
workflow.import.source	science