Recent publications and preprints

• Deflated and augmented Krylov subspace methods: Basic facts and a breakdown-free deflated MINRES
  joint with Andre Gaul, Martin H. Gutknecht, and Reinhard Nabben,
  Preprint, DFG Research Center Matheon, 2011.
  
  
• From Past to Future: Grassmann's Work in Context,
  H.-J. Petsche, A. C. Lewis, J. Liesen, and S. Russ, eds.,
  Birkhäuser, Basel, 2011.
  
  
• Hermann Grassmann's theory of linear transformations,
  appeared in the above book, pp. 311-323.

Publications in refereed journals (in reverse chronological order)

• On Chebyshev polynomials of matrices
  joint with Vance Faber and Petr Tichy,
  SIAM Journal on Matrix Analysis and Applications, vol. 31, pp. 2205-2221, 2010.
  BibTeX
  
  
• On best approximations of polynomials in matrices in the matrix 2-norm
  joint with Petr Tichy
  SIAM Journal on Matrix Analysis and Applications, vol. 31, pp. 853-863, 2009.
  BibTeX, MathSciNet entry
  
  
• On orthogonal reduction to Hessenberg form with small bandwidth,
  joint with Vance Faber and Petr Tichy,
  Numerical Algorithms, vol. 51, pp. 133-142, 2009.
  BibTeX, MathSciNet entry
  
  
• On optimal short recurrences for generating orthogonal Krylov subspace bases,
  joint with Zdenek Strakos,
  SIAM Review, vol. 50, pp. 485-503, 2008.
  BibTeX, MathSciNet entry
  
  
• On nonsymmetric saddle point matrices that allow conjugate gradient iterations,
  joint with Beresford Parlett,
  Numerische Mathematik, vol. 108, pp. 605-624, 2008.
  BibTeX, MathSciNet entry
  
  
• The Faber-Manteuffel Theorem for linear operators,
  joint with Vance Faber and Petr Tichy,
  SIAM Journal on Numerical Analysis, vol. 46, pp. 1323-1337, 2008.
  BibTeX, MathSciNet entry
  
  
• On worst-case GMRES, ideal GMRES, and the polynomial numerical hull of a Jordan block,
  joint with Petr Tichy and Vance Faber,
  Electronic Transactions on Numerical Analysis, vol. 26, pp. 453-473, 2007.
  BibTeX, MathSciNet entry
  
  
• When is the adjoint of a matrix a low degree rational function in the matrix?,
  SIAM Journal on Matrix Analysis and Applications, vol. 29, no. 4, pp. 1171-1180, 2007.
  BibTeX, MathSciNet entry
  
  
• Numerical solution of saddle point problems,
  joint with Michele Benzi and Gene H. Golub,
  Acta Numerica, vol. 14, pp. 1-137, 2005.
  BibTeX, MathSciNet entry
  
  
• GMRES convergence analysis for a convection-diffusion model problem,
  joint with Zdenek Strakos,
  SIAM Journal on Scientific Computing, vol. 26, no. 6, pp. 1989-2009, 2005.
  BibTeX, MathSciNet entry
  
  
• Block-diagonal and constraint preconditioners for nonsymmetric indefinite linear systems. Part I: Theory,
  joint with Eric de Sturler,
  SIAM Journal on Scientific Computing, vol. 26, no. 5, pp. 1598-1619, 2005.
  BibTeX, MathSciNet entry
  
  
• On numerical stability in large scale linear algebraic computations,
  joint with Zdenek Strakos,
  Zeitschrift für Angewandte Mathematik und Mechanik, vol. 85, no. 5, pp. 307-325, 2005.
  BibTeX, MathSciNet entry
  
  
• Orthogonal Hessenberg reduction and orthogonal Krylov subspace bases,
  joint with Paul E. Saylor,
  SIAM Journal on Numerical Analysis, vol. 42, no. 5, pp. 2148-2158, 2005.
  BibTeX, MathSciNet entry
  
  
• On the worst-case convergence of MR and CG for symmetric positive definite tridiagonal Toepliz matrices,
  joint with Petr Tichy,
  Electronic Transactions on Numerical Analysis, vol. 20, pp. 180-197, 2005.
  BibTeX, MathSciNet entry
  
  
• Convergence analysis of Krylov subspace methods,
  joint with Petr Tichy,
  GAMM-Mitteilungen, vol. 27, no. 2, pp. 153-173, 2004.
  BibTeX, MathSciNet entry
  
  
• Convergence of GMRES for tridiagonal Toeplitz matrices,
  joint with Zdenek Strakos,
  SIAM Journal on Matrix Analysis and Applications, vol. 26, no. 1, pp. 233-251, 2004.
  BibTeX, MathSciNet entry
  
  
• The worst-case GMRES for normal matrices,
  joint with Petr Tichy,
  BIT, vol. 44, no. 1, pp. 79-98, 2004.
  BibTeX, MathSciNet entry
  
  
• Least squares residuals and minimal residual methods,
  joint with Miro Rozloznik and Zdenek Strakos,
  SIAM Journal on Scientific Computing, vol. 23, no. 5, pp. 1503-1525, 2002.
  BibTeX, MathSciNet entry
  
  
• Faber polynomials corresponding to rational exterior mapping functions,
  Constructive Approximation, vol. 17, no. 2, pp. 267-274, 2001.
  BibTeX, MathSciNet entry
  
  
• On the location of the zeros of Faber polynomials,
  Analysis, vol. 20, no. 2, pp. 157-162, 2000.
  BibTeX, MathSciNet entry
  
  
• Computable convergence bounds for GMRES,
  SIAM Journal on Matrix Analysis and Applications, vol. 21, no. 3, pp. 882-903, 2000.
  BibTeX, MathSciNet entry
  
  
• The conformal 'bratwurst' maps and associated Faber polynomials,
  joint with Tino Koch,
  Numerische Mathematik, vol. 86, pp. 173-191, 2000.
  BibTeX, MathSciNet entry

Further publications

• On the factorization of Simplex basis matrices,
  joint with Robert Luce et al.
  Zuse Institute Berlin, ZIB-Report 09-24, 2009
  
  
• GMRES convergence and the polynomial numerical hull for a Jordan block,
  joint with Petr Tichy,
  Preprint 34-2006, Institut für Mathematik, Technische Universität Berlin, 2006
  (preliminary version of the paper with P. Tichy and V. Faber that appeared in ETNA)
  
  
• Behavior of CG and MINRES for symmetric tridiagonal Toeplitz matrices,
  joint with Petr Tichy,
  Preprint 34-2004, Institut für Mathematik, Technische Universität Berlin, 2004
  (contains more details on worst-case MR data for the Poisson model problem than the ETNA paper)
  
  
• A min-max problem on roots of unity,
  joint with Petr Tichy,
  Preprint 28-2003, Institute of Mathematics, Technical University of Berlin, 2003
  
  
• Convergence analysis of GMRES for the SUPG discretized convection-diffusion model problem,
  joint with Zdenek Strakos,
  Preprint 26-2003, Institute of Mathematics, Technical University of Berlin, 2003
  (contains more numerical experiments than the SISC paper)
  
  
• Slow initial convergence of GMRES for SUPG discretized convection-diffusion problems,
  joint with Zdenek Strakos,
  Proceedings in Applied Mathematics and Mechanics, vol. 3, no. 1, pp. 551-552, 2003
  
  
• Preconditioners for indefinite linear systems arising in surface parameterization,
  joint with Eric de Sturler, Alla Sheffa, Yelda Aydin, and Chris Siefert,
  Proceedings of the 10th Internatinal Meshing Roundtable (Newport Beach, CA, USA, October 7-10, 2001), Sandia National Laboratories, pp. 71-81, 2001
  
  
• Construction and analysis of polynomial iterative methods for non-hermitian systems of linear equations,
  Dissertation, Department of Mathematics, University of Bielefeld, November 1998