Convergence of Inverse Power Method for First Eigenvalue of p-Laplace Operator

In this article, convergence of an iterative scheme to approximate the first eigenfunction and related eigenvalue for p-Laplace operator is shown. Moreover, numerical examples are presented that show the efficiency and accuracy of the algorithm.

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Bibliographic Details
Published in:Numerical functional analysis and optimization 2016-11, Vol.37 (11), p.1378-1384
Main Author: Bozorgnia, Farid
Format: Article
Language:English
Subjects:
Algorithms
Convergence
Eigenfunctions
eigenvalue
Eigenvalues
Inverse
iterative methods
Mathematical models
Operators (mathematics)
Optimization
p-Laplace operator
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Description
Summary:In this article, convergence of an iterative scheme to approximate the first eigenfunction and related eigenvalue for p-Laplace operator is shown. Moreover, numerical examples are presented that show the efficiency and accuracy of the algorithm.
ISSN:0163-0563
1532-2467
DOI:10.1080/01630563.2016.1211682