Eigenvalue problems are a cornerstone of modern applied mathematics, arising in diverse fields from quantum mechanics to structural engineering. At their heart, these problems seek scalar values and ...

Let (M, g) be a compact connected orientable Riemannian manifold of dimension n ≥ 4 and let $\lambda_{k,p}(g)$ be the k-th positive eigenvalue of the Laplacian $\Delta_{g,p} = dd^{\ast} + d^{\ast}d$ ...

This is a preview. Log in through your library . Abstract New error estimates for eigenvalues of symmetric integral equations are obtained. These estimates are ...

You can think of eigenvalues and their associated eigenvectors as a decomposition of a matrix. Eigenvalues and eigenvectors are needed for PCA. But computing eigenvalues and eigenvectors directly is ...

According to mathematical legend, Peter Sarnak and Noga Alon made a bet about optimal graphs in the late 1980s. They’ve now both been proved wrong. It started with a bet. In the late 1980s, at a ...