about publications talks contact   Publications and reports   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