Computing the sinp function via the inverse power method

Abstract 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.