1 citations · 1 across the 3 of their papers we have counts for
4 papers
TRPL+K: Thick-Restart Preconditioned Lanczos+K Method for Large Symmetric Eigenvalue Problems
Lingfei Wu, Fei Xue, Andreas Stathopoulos
The Lanczos method is one of the standard approaches for computing a few eigenpairs of a large, sparse, symmetric matrix. It is typically used with restarting to avoid unbounded gr…
Generalized preconditioned locally harmonic residual method for non-Hermitian eigenproblems
Eugene Vecharynski, Chao Yang, Fei Xue
We introduce the Generalized Preconditioned Locally Harmonic Residual (GPLHR) method for solving standard and generalized non-Hermitian eigenproblems. The method is particularly us…
Preconditioned eigensolvers for large-scale nonlinear Hermitian eigenproblems with variational characterizations. II. Interior eigenvalues
Daniel B. Szyld, Eugene Vecharynski, Fei Xue
We consider the solution of large-scale nonlinear algebraic Hermitian eigenproblems of the form that admit a variational characterization of eigenvalues. These problems a…
Krylov Subspace Recycling for Sequences of Shifted Linear Systems
Kirk M. Soodhalter, Daniel B. Szyld, Fei Xue
We study the use of Krylov subspace recycling for the solution of a sequence of slowly-changing families of linear systems, where each family consists of shifted linear systems tha…