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BY-NC-ND 4.0 license Open Access Published by De Gruyter January 1, 2011

Computing the sinp function via the inverse power method

  • Rodney Josué Biezuner EMAIL logo , Grey Ercole and Eder Marinho Martins


In this paper, we discuss a new iterative method for computing sinp. This function was introduced by Lindqvist in connection with the unidimensional nonlinear Dirichlet eigenvalue problem for the p-Laplacian. The iterative technique was inspired by the inverse power method in finite dimensional linear algebra and is competitive with other methods available in the literature. Keywords: p-Laplacian, eigenvalues, eigenfunctions, sinp, inverse power method.

Received: 2010-10-25
Revised: 2011-03-26
Accepted: 2011-04-10
Published Online: 2011
Published in Print: 2011

© Institute of Mathematics, NAS of Belarus

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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