Books

• A First Course in Numerical Methods [webpage]
  Uri M. Ascher and Chen Greif
  SIAM, 2011
  
  
• Milestones in Matrix Computation: Selected Works of Gene H. Golub, with Commentaries [webpage]
  Raymond H. Chan, Chen Greif, and Dianne P. O'Leary, eds.
  Oxford University Press, 2007
  
  

Technical Reports and Refereed Journal Publications

• Multi-Preconditioned GMRES [pdf] [code]
  Chen Greif, Tyrone Rees and Daniel Szyld
  UBC/CS Technical Report TR-2011-12, 2011.
  
  
• A Note on the Convergence of SOR for the PageRank Problem [pdf]
  Chen Greif and David Kurokawa
  SIAM Journal on Scientific Computing, 33(6): 3201-3209, 2011
  
  
• Closed-Form Multigrid Smoothing Factors for Lexicographic Gauss-Seidel [pdf]
  Robert Hocking and Chen Greif
  IMA Journal of Numerical Analysis 2011; doi: 10.1093/imanum/drr037
  
  
• The Power and Arnoldi Methods in an Algebra of Circulants [pdf]
  David Gleich, Chen Greif and Jim Varah
  Technical report, August 2011
  
  
• A Cross Eigenvalue Condition Matrix [pdf]
  Joel Friedman and Chen Greif
  Technical report, July 2011
  
  
• Fast Matrix Computations for Pair-Wise and Column-Wise Commute Times and Katz Scores [pdf]
  Francesco Bonchi, Pooya Esfandiar, David Gleich, Chen Greif and Laks Lakshmanan
  Internet Mathematics, accepted for publication, June 2011
  
  
• Parallel Numerical Solution of the Time-Harmonic Maxwell Equations in Mixed Form [pdf]
  Dan Li, Chen Greif and Dominik Schötzau
  Numerical Linear Algebra with Applications, accepted for publication, February 2011
  
  
• A Box-Shaped Cyclically Reduced Operator [pdf]
  Chen Greif and Robert Hocking
  Numerical Linear Algebra with Applications, 18(4): 671-693, 2011
  
  
• A Mixed Finite Element Method with Exactly Divergence-free Velocities for Incompressible Magnetohydrodynamics [pdf]
  Chen Greif, Dan Li, Dominik Schötzau and Xiaoxi Wei
  Computer Methods in Applied Mechanics and Engineering, 199: 2840-2855, 2010
  
  
• An Analysis of Low-Rank Modifications of Preconditioners for Saddle Point Systems [pdf]
  Chen Greif and Michael Overton
  Electronic Transactions on Numerical Analysis, 37: 307-320, 2010
  
  
• l₁-Sparse Reconstruction of Sharp Point Set Surfaces [pdf]
  Haim Avron, Andrei Sharf, Chen Greif and Daniel Cohen-Or
  ACM Transactions on Graphics, 29(5): 135:1-135:12, 2010
  
  
• An Inner-Outer Iteration for Computing PageRank [pdf]
  David Gleich, Andrew Gray, Chen Greif and Tracy Lau
  SIAM Journal on Scientific Computing, 32(1): 349-371, 2010
  
  
• Iterative Solution of Skew-Symmetric Linear Systems [pdf]
  Chen Greif and Jim Varah
  SIAM Journal on Matrix Analysis and Applications, 31(2): 584-601, 2009
  
  
• Space-time Surface Reconstruction Using Incompressible Flow [pdf]
  Andrei Sharf, Dan A. Alcantara, Thomas Lewiner, Chen Greif, Alla Sheffer, Nina Amenta and Daniel Cohen-Or
  ACM Transactions on Graphics, 27(5), (SIGGRAPH Asia) 2008
  
  
• An Efficient Linear Programming Solver for Optimal Filter Synthesis [pdf]
  Jihong Ren, Chen Greif and Mark Greenstreet
  Numerical Linear Algebra with Applications, 14(9): 695-712, 2007
  
  
• A Preconditioner for Linear Systems Arising from Interior Point Optimization Methods [pdf]
  Tim Rees and Chen Greif
  SIAM Journal on Scientific Computing, 29(5): 1992-2007, 2007
  
  
• Preconditioners for the Discretized Time-Harmonic Maxwell Equations in Mixed Form [pdf]
  Chen Greif and Dominik Schötzau
  Numerical Linear Algebra with Applications, 14(4): 281-297, 2007
  
  
• Minimizing the Condition Number for Small Rank Modifications [pdf]
  Chen Greif and Jim Varah
  SIAM Journal on Matrix Analysis and Applications, 29(1): 82-97, 2006
  
  
• An Arnoldi-type Algorithm for Computing PageRank [pdf]
  Gene Golub and Chen Greif
  BIT, 46(4): 759-771, 2006
  
  
• A Multipreconditioned Conjugate Gradient Algorithm [pdf]
  Robert Bridson and Chen Greif
  SIAM Journal on Matrix Analysis and Applications, 27(4): 1056-1068, 2006
  
  
• Preconditioners for Saddle Point Linear Systems with Highly Singular (1,1) Blocks [pdf]
  Chen Greif and Dominik Schötzau
  Electronic Transactions on Numerical Analysis, 22: 114-121, 2006
  
  
• An Algebraic Analysis of a Block Diagonal Preconditioner for Saddle Point Systems [pdf]
  Gene Golub, Chen Greif and Jim Varah
  SIAM Journal on Matrix Analysis and Applications, 27(3): 779-792, 2006
  
  
• Simultaneous Registration and Activation Detection for fMRI [pdf]
  Jeff Orchard, Chen Greif, Gene Golub, Bruce Bjornson and M. Stella Atkins
  IEEE Transactions on Medical Imaging, 22(11):1427-1435, 2003
  
  
• On Solving Block-Structured Indefinite Linear Systems [pdf]
  Gene Golub and Chen Greif
  SIAM Journal on Scientific Computing, 24(6): 2076-2092, 2003
  
  
• Block Orderings for Tensor-Product Grids in Two and Three Dimensions [pdf]
  Gene Golub, Chen Greif and Jim Varah
  Numerical Algorithms, 30(2): 93-111, 2002
  
  
• Reduced Systems for Three-Dimensional Elliptic Equations with Variable Coefficients [pdf]
  Chen Greif
  SIAM Journal on Matrix Analysis and Applications, 21(1): 29-44, 1999
  
  
• Block Stationary Methods for Nonsymmetric Cyclically Reduced Systems Arising from Three-Dimensional Elliptic Equations [pdf]
  Chen Greif and Jim Varah
  SIAM Journal on Matrix Analysis and Applications, 20(4): 1038-1059, 1999
  
  
• Iterative Solution of Cyclically Reduced Systems Arising from Discretization of the Three-Dimensional Convection-Diffusion Equation [pdf]
  Chen Greif and Jim Varah
  SIAM Journal on Scientific Computing, 19(6): 1018-1040, 1998
  
  
• The d₂-Transformation for Infinite Double Series and the D₂-Transformation for Infinite Double Integrals [pdf]
  Chen Greif and David Levin
  Mathematics of Computation, 67(222): 695-714, 1998