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 ...

Proofs of convergence of adaptive finite element methods (AFEMs) for approximating eigenvalues and eigenfunctions of linear elliptic problems have been given in several recent papers. A key step in ...

The QR algorithm is currently the most popular method for finding all eigenvalues of a full matrix. While QR is now well understood by specialists in eigenvalue computations, this understanding is not ...