Explicit inverse of near Toeplitz pentadiagonal matrices related to higher order difference operators

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–c...

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Bibliographic Details
Main Authors: Bakytzhan Kurmanbek, Yogi Erlangga, Yerlan Amanbek
Format: Article
Language:English
Published: Elsevier 2021-08-01
Series:Results in Applied Mathematics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2590037421000248