Computing the $\sin_{p}$ function via the inverse power method
Classical Analysis and ODEs
2018-08-16 v1 Numerical Analysis
Abstract
In this paper, we discuss a new iterative method for computing . This function was introduced by Lindqvist in connection with the unidimensional nonlinear Dirichlet eigenvalue problem for the -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.
Cite
@article{arxiv.1011.3486,
title = {Computing the $\sin_{p}$ function via the inverse power method},
author = {Rodney Josué Biezuner and Grey Ercole and Eder Marinho Martins},
journal= {arXiv preprint arXiv:1011.3486},
year = {2018}
}