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- Eugene Vecharynski, Yousef Saad
- SIAM J. Matrix Analysis Applications
- 2014

This paper discusses a few algorithms for updating the approximate singular value decomposition (SVD) in the context of information retrieval by latent semantic indexing (LSI) methods. A unifyingâ€¦ (More)

- Eugene Vecharynski, Yousef Saad, Masha Sosonkina
- SIAM J. Scientific Computing
- 2014

Prior to the parallel solution of a large linear system, it is required to perform a partitioning of its equations/unknowns. Standard partitioning algorithms are designed using the considerations ofâ€¦ (More)

- Eugene Vecharynski, Chao Yang, John E. Pask
- J. Comput. Physics
- 2015

We present an iterative algorithm for computing an invariant subspace associated with the algebraically smallest eigenvalues of a large sparse or structured Hermitian matrix A. We are interested inâ€¦ (More)

- Daniel B. Szyld, Eugene Vecharynski, Fei Xue
- SIAM J. Scientific Computing
- 2015

We consider the solution of large-scale nonlinear algebraic Hermitian eigenproblems of the form T (Î»)v = 0 that admit a variational characterization of eigenvalues. These problems arise in a varietyâ€¦ (More)

- Eugene Vecharynski, Andrew V. Knyazev
- SIAM J. Scientific Computing
- 2013

We introduce a novel strategy for constructing symmetric positive definite (SPD) preconditioners for linear systems with symmetric indefinite matrices. The strategy, called absolute valueâ€¦ (More)

- Dmitry Zuev, Eugene Vecharynski, Chao Yang, Natalie Orms, Anna I. Krylov
- Journal of Computational Chemistry
- 2015

New algorithms for iterative diagonalization procedures that solve for a small set of eigen-states of a large matrix are described. The performance of the algorithms is illustrated by calculations ofâ€¦ (More)

- Eugene Vecharynski, Jiri Brabec, Meiyue Shao, Niranjan Govind, Chao Yang
- Computer Physics Communications
- 2017

We present two efficient iterative algorithms for solving the linear response eigenvalue problem arising from the time dependent density functional theory. Although the matrix to be diagonalized isâ€¦ (More)

- Eugene Vecharynski, Andrew V. Knyazev
- SIAM J. Scientific Computing
- 2015

We propose a Preconditioned Locally Harmonic Residual (PLHR) method for computing several interior eigenpairs of a generalized Hermitian eigenvalue problem, without traditional spectralâ€¦ (More)

We describe preconditioned iterative methods for estimating the number of eigenvalues of a Hermitian matrix within a given interval. Such estimation is useful in a number of applications.Inâ€¦ (More)