The Cycle-Convergence of Restarted GMRES for Normal Matrices Is Sublinear. - Eugene Vecharynski; Julien Langou (SIAM J. Sci. Comput., 2010)

Any admissible cycle-convergence behavior is possible for restarted GMRES at its initial cycles. - Eugene Vecharynski; Julien Langou (Numer. Linear Algebra Appl., 2011)

Absolute Value Preconditioning for Symmetric Indefinite Linear Systems. - Eugene Vecharynski; Andrew V. Knyazev (SIAM J. Sci. Comput., 2013)

Fast Updating Algorithms for Latent Semantic Indexing. - Eugene Vecharynski; Yousef Saad (SIAM J. Matrix Anal. Appl., 2014)

Graph Partitioning Using Matrix Values for Preconditioning Symmetric Positive Definite Systems. - Eugene Vecharynski; Yousef Saad; Masha Sosonkina (SIAM J. Sci. Comput., 2014)

New algorithms for iterative matrix-free eigensolvers in quantum chemistry. - Dmitry Zuev; Eugene Vecharynski; Chao Yang 001; Natalie Orms; Anna I. Krylov (J. Comput. Chem., 2015)

A projected preconditioned conjugate gradient algorithm for computing many extreme eigenpairs of a Hermitian matrix. - Eugene Vecharynski; Chao Yang 001; John E. Pask (J. Comput. Phys., 2015)

Preconditioned Eigensolvers for Large-Scale Nonlinear Hermitian Eigenproblems with Variational Characterizations. II. Interior Eigenvalues. - Daniel B. Szyld; Eugene Vecharynski; Fei Xue (SIAM J. Sci. Comput., 2015)

Preconditioned Locally Harmonic Residual Method for Computing Interior Eigenpairs of Certain Classes of Hermitian Matrices. - Eugene Vecharynski; Andrew V. Knyazev (SIAM J. Sci. Comput., 2015)

A Thick-Restart Lanczos Algorithm with Polynomial Filtering for Hermitian Eigenvalue Problems. - Ruipeng Li; Yuanzhe Xi; Eugene Vecharynski; Chao Yang 001; Yousef Saad (SIAM J. Sci. Comput., 2016)

Generalized Preconditioned Locally Harmonic Residual Method for Non-Hermitian Eigenproblems. - Eugene Vecharynski; Chao Yang; Fei Xue (SIAM J. Sci. Comput., 2016)

Efficient block preconditioned eigensolvers for linear response time-dependent density functional theory. - Eugene Vecharynski; Jiri Brabec; Meiyue Shao; Niranjan Govind; Chao Yang 001 (Comput. Phys. Commun., 2017)