
Publications and reports 

 E. Vecharynski, J. Brabec, M. Shao, N. Govind, and C. Yang:
Efficient Block Preconditioned Eigensolvers for Linear Response Timedependent Density Functional Theory, submitted, 2016  report
 E. Vecharynski and C. Yang:
Preconditioned iterative methods for eigenvalue counts,
to appear in Proceedings of International Workshop on Eigenvalue Problems:
Algorithms, Software and Applications in Petascale Computing,
in Lecture Notes in Computational Science and Engineering,
Springer, 2016  report
 E. Vecharynski and A. Knyazev:
Preconditioned steepest descentlike methods for symmetric indefinite systems,
Linear Algebra and its Applications, Vol. 511, pp. 274–295, 2016  pdf
 R. Li, Y. Xi, E. Vecharynski, C. Yang, and Y. Saad:
A ThickRestart Lanczos algorithm with polynomial filtering for Hermitian eigenvalue problems,
SIAM Journal on Scientific Computing, Vol. 38, Issue 4, pp. A2512–A2534, 2016  pdf
 J. R. Jones, F.H. Rouet, K. V. Lawler, E. Vecharynski, K. Z. Ibrahim, S. Williams, B. Abeln, C. Yang,
D. J. Haxton, C. W. McCurdy, X. S. Li, T. N. Rescigno:
An efficient basis set representation for calculating electrons in molecules,
Journal of Molecular Physics, Vol. 114, Issue 13, pp. 2014–2028, 2016  pdf
 E. E. Vecharynski, C. Yang, and F. Xue:
Generalized preconditioned locally harmonic residual method for nonHermitian eigenproblems,
SIAM Journal on Scientific Computing, Vol. 38, Issue 1, pp. A500–A527, 2016  pdf
 E. Vecharynski:
A generalization of Saad's bound on harmonic Ritz vectors of Hermitian matrices,
Linear Algebra and its Applications, Vol. 494, pp. 219235, 2016  pdf
 D. B. Szyld, E. Vecharynski, and F. Xue:
Preconditioned eigensolvers for largescale nonlinear Hermitian eigenproblems with
variational characterizations. II. Interior eigenvalues,
SIAM Journal on Scientific Computing, Vol. 37, Issue 6, pp. A2969A2997, 2015 
pdf
 E. Vecharynski and A. Knyazev:
Preconditioned Locally Harmonic Residual Method for computing interior eigenpairs of certain classes of Hermitian matrices,
SIAM Journal on Scientific Computing, Vol. 37, Issue 5, pp. S3–S29, 2015 
pdf
 E. Vecharynski, C. Yang, and J. E. Pask:
A Projected Preconditioned Conjugate Gradient algorithm for computing many extreme eigenpairs of a Hermitian matrix,
Journal of Computational Physics, Vol. 290, pp. 73–89, 2015  pdf
 D. Zuev, E. Vecharynski, C. Yang, N. Orms, and A.I. Krylov:
New algorithms for iterative matrixfree eigensolvers in quantum chemistry,
Journal of Computational Chemistry, Vol. 36, Issue 5, pp. 273–284, 2015  pdf
*Featured on the JCC volume cover  cover
 E. Vecharynski and Y. Saad:
Fast updating algorithms for latent semantic indexing,
SIAM Journal on Matrix Analysis and Applications, Vol. 35, Issue 3, pp. 1105–1131, 2014 
pdf
 E. Vecharynski, Y. Saad, and M. Sosonkina:
Graph partitioning using matrix values for preconditioning symmetric positive definite systems,
SIAM Journal on Scientific Computing Vol. 36, Issue 1, pp. A63A87, 2014 
pdf
 E. Vecharynski and A. Knyazev:
Absolute value preconditioning for symmetric indefinite linear systems,
SIAM Journal on Scientific Computing Vol. 35, Issue 2, pp. A696A718, 2013 
pdf
 E. Vecharynski and J. Langou:
Any admissible cycleconvergence behavior is possible for restarted GMRES at its initial cycles,
Numerical Linear Algebra with Applications Vol. 18, Issue 3, pp. 499511, 2011 
pdf
 E. Vecharynski:
Preconditioned iterative methods for linear systems, eigenvalue and singular value problems,
PhD thesis, University of Colorado Denver, 2010 
pdf
 E. Vecharynski and J. Langou:
The cycleconvergence of restarted GMRES for normal matrices is sublinear,
SIAM Journal on Scientific Computing Vol. 32, Issue 1, pp. 186196, 2010 
pdf
 L. Pilipchuk, E. Vecharynski, and Yu. H. Pesheva:
Solution of Large Linear Systems with Embedded Network Structure for a NonHomogeneous Network
Flow Programming Problem,
Mathematica Balkanica Vol. 22, Fasc. 34, p. 235254, 2008 
pdf
 L. Pilipchuk and E. Vecharynski:
Solution of Large Underdetermined Linear Systems for a Generalized NonHomogeneous Network Flow Programming
Problem,
Proceedings of I International Conference "Mathematical Modeling and Differential Equations",
Minsk, 2007, pp. 131133 
pdf

