Computing the $\sin_{p}$ function via the inverse power method

Details Computing the $\sin_{p}$ function via the inverse power method Computing the $\sin_{p}$ function via the inverse power method

2010-11-15

arxiv.org/abs/1011.3486v1

Computational Methods in Applied Mathematics, 11 (2011), no. 2, p.p. 129-140

Mathematics

Classical Analysis and ODEs

Scientific paper

In this paper, we discuss a new iterative method for computing $\sin_{p}$.
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.

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