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Publications and reports |
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- E. Vecharynski, J. Brabec, M. Shao, N. Govind, and C. Yang:
Efficient Block Preconditioned Eigensolvers for Linear Response Time-dependent 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 descent-like 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 Thick-Restart 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 non-Hermitian 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. 219-235, 2016 | pdf
- D. B. Szyld, E. Vecharynski, and F. Xue:
Preconditioned eigensolvers for large-scale nonlinear Hermitian eigenproblems with
variational characterizations. II. Interior eigenvalues,
SIAM Journal on Scientific Computing, Vol. 37, Issue 6, pp. A2969-A2997, 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 matrix-free 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. A63-A87, 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. A696-A718, 2013 |
pdf
- E. Vecharynski and J. Langou:
Any admissible cycle-convergence behavior is possible for restarted GMRES at its initial cycles,
Numerical Linear Algebra with Applications Vol. 18, Issue 3, pp. 499-511, 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 cycle-convergence of restarted GMRES for normal matrices is sublinear,
SIAM Journal on Scientific Computing Vol. 32, Issue 1, pp. 186-196, 2010 |
pdf
- L. Pilipchuk, E. Vecharynski, and Yu. H. Pesheva:
Solution of Large Linear Systems with Embedded Network Structure for a Non-Homogeneous Network
Flow Programming Problem,
Mathematica Balkanica Vol. 22, Fasc. 3-4, p. 235-254, 2008 |
pdf
- L. Pilipchuk and E. Vecharynski:
Solution of Large Underdetermined Linear Systems for a Generalized Non-Homogeneous Network Flow Programming
Problem,
Proceedings of I International Conference "Mathematical Modeling and Differential Equations",
Minsk, 2007, pp. 131-133 |
pdf
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