Efficient solution of symmetric/hermitian eigenvalue problems on parallel arrays of vector processors

摘要

we consider the solution of the eigenvalue problem (EVP) Au chemical bounds #lambda# u, (1.1) where A is large, dense, and symmetric or Hermitian. These problems arise in a great many applications, perhaps most notably in structural dynamics calculations. The methods presented here are suitable for determining the complete eigendecomposition of A or for computing only selected eigenvalues and, optionally, eigenvectors.