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    Publications and Reports:

  • Eugene Vecharynski, Yousef Saad, and Masha Sosonkina: Graph partitioning with matrix coefficients for symmetric positive definite linear systems, published as MSI Research Report umsi-2011-xxx, 2011, submitted | report
  • Eugene Vecharynski and Andrew Knyazev: Absolute value preconditioning for symmetric indefinite linear systems, published as CCM Research Report 298, 2011, submitted | report
  • Eugene Vecharynski and Julien 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 | article | preprint
  • Eugene Vecharynski: Preconditioned iterative methods for linear systems, eigenvalue and singular value problems, PhD thesis, University of Colorado Denver, 2010 | thesis
  • Eugene Vecharynski and Julien 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 | article | preprint
  • Ludmila Pilipchuk, Eugene 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, 2008, Fasc. 3-4 | article
  • Ludmila Pilipchuk and Eugene 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 | preprint

    Talks and Trips:

  • Householder Symposium XVIII, Tahoe City, CA, USA, June 12-17, 2011
    Talk: Preconditioned Locally Minimal Residual Method for Computing Interior Eigenpairs of Symmetric Operators | slides
  • Fifteenth Copper Mountain Conference on Multigrid Methods, CO, USA, March 27 - April 1, 2011
    Talk presented by Andrew Knyazev: Multigrid absolute value preconditioning | slides
  • SIAM Conference on Computational Science and Engineering, Reno, NV, USA, February 28 - March 4, 2011
    Talk: Solving symmetric indefinite systems with symmetric positive definite preconditioners
  • Eleventh Copper Mountain Conference on Iterative Methods, CO, USA, April 4-9, 2010
    Talk: Preconditioned gradient-type methods for computing extreme singular values
  • SIAM Conference on Applied Linear Algebra, Monterey, CA, USA, October 26-29, 2009
    Talk: Notes on the Convergence of the Restarted GMRES | slides
  • SIAM Annual Meeting, Denver, CO, USA, July 6-10, 2009
  • Ninth Workshop on the DOE ACTS Collection, Oakland-Berkeley, CA, USA, August 19-22, 2008
  • Tenth Copper Mountain Conference on Iterative Methods, CO, USA, April 6-11, 2008
    Talk: The convergence of restarted GMRES for normal matrices is sublinear
  • 2008 SIAM Front Range Applied Mathematics Student Conference, Denver, CO, USA,
    March 1, 2008.
    Talk: The convergence of restarted GMRES for normal matrices is sublinear
  • First International Conference "Mathematical Modeling and Differential Equations", Minsk, Belarus,
    October 2-5, 2007.
    Talk presented by L. Pilipchuk: Solution of Large Underdetermined Linear Systems for a Generalized Non-Homogeneous Network Flow Programming Problem
  • 2007 SIAM Front Range Applied Mathematics Student Conference, Denver, CO, USA,
    March 3, 2007.
    Talk: Solution of Large Sparse Underdetermined Linear Systems with Embedded Network Structure for a Non-homogeneous Network Flow Programming Problem

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