Recent publications

Below you can find my recent publications. They are in reverse chronological order (following the dating of the preprint). To protect copyrights, only papers are available via this webpage that have not appeared in print yet, unless copyrights permit web publication. The papers are provided in compressed (gzip) PostScript (.ps.gz) format and some in PDF (.pdf) (a PDF Reader can be downloaded from Adobe). The bibtex description (bibtex) is also available. If you wish to have the paper in another format, or if the paper has been published, contact me. For the complete list of my publications ckick here: bibtex, pdf, ps.gz.


Gerard L.G. Sleijpen, and ,
Exploiting BiCGstab(ell) strategies to induce dimension reduction.
ISSN 1389-6520 ( .pdf), Reports of the Department of Applied Mathematical Analysis, Delft University of Technology (Februari, 2009). (related subject; bibtex)
Gerard L.G. Sleijpen, Peter Sonneveld, and ,
Bi-CGSTAB as an induced dimension reduction method.
Preprint 1369 ( .pdf), Dep. Math., University Utrecht (April, 2008). Accepted for publication in APNUM. (related subject; bibtex)
Joost Rommes and Gerard L.G. Sleijpen,
Convergence of the dominant pole algorithm and Rayleigh quotient iteration,
Preprint 1356 ( .pdf), Dep. Math., University Utrecht (September, 2006).
SIAM J. Matrix Anal. Appl. (SIMAX), 30:1 (2008), pp. 346-363. (bibtex)
and Gerard L.G. Sleijpen,
Harmonic and refined Rayleigh-Ritz for the polynomial eigenvalue problem,
Numer. Linear Algebra Appl., 15:1 (2008), pp. 35-54. (related subject; bibtex)
, Gerard L.G. Sleijpen, Leo R.M. Maas, and Jan Brandts,
Numerical solution of the two dimensional Poincare equation,
Preprint 1320 (.pdf), Dep. Math., University Utrecht (Februari, 2005).
J. Comput. Appl. Math., 200:1(2007), pp. 317-341. ( bibtex)
Gerard L.G. Sleijpen, , and
Restarted GMRES with inexact matrix-vector products,
Technical Report TR/PA/04/75, (.ps.gz, .pdf), Parallel Algorithms Reports, CERFACS, Toulouse, France (May, 2004).
in Numerical Analysis and Its Applications: Third International Conference, NAA 2004, Rousse, Bulgaria, June 29-July 3, 2004, Zhilin Li, Lubin Vulkov, and Jerzy Wazniewski (Eds), Lecture Notes in Computer Science, volume 3401, Feb 2005, pp.494-502, Springer-Verlag, Heidelberg, Germany, (related subject; bibtex)
, Gerard L.G. Sleijpen, and
Iterative linear solvers with approximate matrix-vector products,
Preprint 1293 ( .ps.gz), Dep. Math., University Utrecht (December, 2003). (related subject; bibtex)
In QCD and Numerical Analysis III, the Proceedings of the Third International Workshop on Numerical Analysis and Lattice QCD, Edinburgh, June/July 2003, Lecture Notes in Computational Science and Engineering, A. Borici, A. Frommer, B. Joo, A.D. Kennedy, and B. Pendleton (Eds), Lecture Notes in Computational Science and Engineering, Vol. 47, 2005, pp. 133-141. Springer-Verlag, Heidelberg, Germany,
, Gerard L.G. Sleijpen, and
Relaxation strategies for nested Krylov methods,
Preprint 1268 ( .ps.gz, .pdf), Dep. Math., University Utrecht (March, 2003).
Journal of Computational and Applied Mathematics (JCAM), 177/2 (2005), pp. 347-365. (related subject; bibtex)
and Gerard L.G. Sleijpen,
Accurate conjugate gradient methods for families of shifted systems,
Preprint 1265 ( .ps.gz, .pdf), Dep. Math., University Utrecht (January, 2003).
Revised version (.ps.gz, .pdf) (May 2003). (related subject; bibtex)
Applied Numerical Mathematics, 49/1 (2004), pp.17-37.
(49/1 is the special issue on the occasion of the 2nd International workshop on Parallel Matrix Algorithms and Applications (PMAA'02) on 9-10 November 2002, Neuchâtel, Switzerland.)
Matlab code
and Gerard L.G. Sleijpen,
Inexact Krylov subspace methods for linear systems (.ps.gz, .pdf),
Preprint 1224 ( .ps.gz, .pdf), Dep. Math., University Utrecht (February, 2002).
Revised version (.ps.gz, .pdf) (June 2003).
SIAM J. Matrix Anal. Appl. (SIMAX), 26:1 (2004), pp. 125-153. (related subject; bibtex)
and Gerard L.G. Sleijpen,
Two-sided and alternating Jacobi-Davidson,
Preprint 1196, Dep. Math., University Utrecht (June, 2001).
Linear Algebra Appl., 358 (2003), pp. 145-172. (related subject; bibtex)
Gerard L.G. Sleijpen and ,
Accurate approximations to eigenpairs using the harmonic Rayleigh-Ritz method,
Preprint 1184, Dep. Math., University Utrecht, April, 2001.
On the use of harmonic Ritz pairs in approximating internal eigenpairs,
Revised version, Dep. Math., University Utrecht, August, 2001.
Linear Algebra Appl., 358 (2003), pp.115-137. (related subject; bibtex)
Gerard L.G. Sleijpen and ,
Jacobi-Davidson methods (Sections 4.7, 5.6, 7.12, 8.4),
In "Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide"
by Zhaojun Bai, James Demmel, Jack Dongarra, Axel Ruhe, and Henk van der Vorst
pp. 88-105, 123-127, 221-228, 238-246, SIAM, Philadelphia, 2000. (related subject; bibtex)
, Gerard L.G. Sleijpen, and ,
Quadratic Eigenvalue Problems (Sections 9.2),
Higher Order Polynomial Eigenvalue Problems (Section 9.3),
In "Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide"
by Zhaojun Bai, James Demmel, Jack Dongarra, Axel Ruhe, and Henk van der Vorst
pp. 281--290, SIAM, Philadelphia, 2000. (related subject; bibtex)
, Gerard L.G. Sleijpen, and ,
Using domain decomposition in the Jacobi-Davidson method,
Preprint 1164, Dep. Math., University Utrecht (October, 2000). (related subject; bibtex)
Gerard L.G. Sleijpen, , and ,
Optimal a priori error bounds for the Rayleigh-Ritz method,
Preprint 1160, Dep. Math., University Utrecht (September, 2000).
Math. Comp., 72:242 (2003), 677-684.
Article electronically published om May 1, 2002. (bibtex)
Gerard L.G. Sleijpen and ,
A Jacobi-Davidson iteration method for linear eigenvalue problems.
SIAM Review, 42:2 (2000), pp. 267-293. (bibtex)
This paper in the SIGEST section of SIAM Review, Volume 42, Number 2 originally appeared in SIAM Journal on Matrix Analysis and Applications, volume 17, April 1996. (related subject)
Gerard L.G. Sleijpen and ,
Effective preconditioning techniques for eigenvalue problems,
Preprint 1117, Dep. Math., University Utrecht (August, 1999).
Exploiting multilevel preconditioning techniques in eigenvalue computations,
Revised version (November, 2001) (.ps.gz, .pdf)
Exploiting multilevel preconditioning techniques in eigenvalue computations,
SIAM J. Sc. Comput. (SISC), 25:4 (2003), pp. 1249-1272. (related subject; bibtex)
Gerard L.G. Sleijpen, , and ,
Jacobi-Davidson algorithms for various eigenproblems - A working document -,
Preprint 1114, Dep. Math., University Utrecht (August, 1999). (related subject; bibtex)
and Gerard L.G. Sleijpen,
Alternative corection equations in the Jacobi-Davidson method,
Preprint 1073 (revised), Dep. Math., University Utrecht (June, 1998).
This is a preprint of an article published in:
Numer. Linear Algebra Appl., 6 (1999), pp. 235-253. (related subject; bibtex)
Gerard L.G. Sleijpen, , and ,
Efficient expansion of subspaces in the Jacobi-Davidson method for standard and generalized eigenproblems,
Preprint 1046, Dep. Math., University Utrecht (Februari, 1998),
Electronic Transactions on Numerical Analysis, 7 (1998), pp. 75-89. (related subject; bibtex)
, G.L.G. Sleijpen, and ,
Stability control for approximate implicit time-stepping schemes with minimal residual iterations,
Preprint 1043, Dep. Math., University Utrecht (December, 1997).
Applied Numerical Mathematics, 31 (1999), pp. 239-253. (related subject; bibtex)
Gerard L.G. Sleijpen, , and ,
The main effects of rounding errors in certain Krylov solvers for symmetric linear systems,
Part II, Numerical Mathematics, pp. 509-514, Proceedings 15th IMACS World Congress on Scientific Computation, Modelling and Applied Mathematics, A. Sydow, et. al (eds), Wissenschaft and Technik Verlag, August 24-29, 1997, Berlin. (related subject; bibtex)
, Gerard L.G. Sleijpen, and ,
The data-parallel iterative solution of the finite element discretization of stream-function models for global ocean circulation (100 Kb),
Preprint, Dep. Math., University Utrecht (March, 1997). (related subject),
Part III, Computational Physics, Biology, and Chemistry, pp. 479-484, Proceedings 15th IMACS World Congress on Scientific Computation, Modelling and Applied Mathematics, A. Sydow, et. al (eds), Wissenschaft and Technik Verlag, August 24-29, 1997, Berlin. (bibtex)
Gerard L.G. Sleijpen, , and ,
Effects of rounding errors in determining approximate solutions in Krylov solvers for symmetric linear systems (Revised version, May, 1998),
Differences in the effects of rounding errors in Krylov solvers for symmetric indefinite linear systems,
Preprint 1006, Dep. Math., University Utrecht (March, 1997),
SIAM J. Matrix Anal. Appl. (SIMAX), 22:3 (2000), pp. 726-751. (related subject; bibtex)
, G.L.G. Sleijpen, and ,
Low-dimensional Krylov subspace iterations for enhancing stability of time-step integration schemes,
Preprint 1004, Dep. Math., University Utrecht (March, 1997). (bibtex)
and G.L.G. Sleijpen,
A parallelizable and fast algorithm for very large generalized eigenproblems, (preliminary version)
In J. Wa\'sniewski, J. Dongarra, K.Madsen, and D. Olesen (eds),
Applied Parallel Computing, Proceedings of PARA '96,
Lecture Notes in Computer Science 1184, Springer Verlag, Berline, 1996, pp. 686-696. (bibtex)
G.L.G. Sleijpen and ,
Iterative Bi-CG methods and implementation aspects,
Preprint, Dep. Math., University Utrecht (June, 1996).
, G.L.G. Sleijpen, and ,
Jacobi-Davidson style QR and QZ algorithms for the reduction of matrix pencils,
Preprint 941, Department of Mathematics, University Utrecht (January, 1996),
SIAM J. Sc. Comput., 20:1 (1998), pp. 94-125. (related subject; bibtex)
Gerard Sleijpen, , and ,
Quadratic eigenproblems are no problem,
SIAM News (September 8, 1996). (related subject; bibtex)
G.L.G. Sleijpen, , , and ,
Jacobi-Davidson type methods for generalized eigenproblems and polynomial eigenproblems: Part I,
Preprint 923, Department of Mathematics, University Utrecht (September, 1995. Revised, November, 1995),
Jacobi-Davidson type methods for generalized eigenproblems and polynomial eigenproblems,
BIT, 36:3 (1996), pp. 595-633. (related subject; bibtex)
, , G.L.G. Sleijpen, and ,
Jacobi-Davidson methods for generalized MHD-eigenvalue problems,
Report NM-R9514, CWI, Amsterdam (1995).
Proceeeding of ICIAM/GAMM 95, G. Alefeld, O. Mahrenholtz and R. Mennicken (eds), ZAMM, vol. 76 (suppl. 1), 1996, pp. 131--134. (related subject; bibtex)
, Gerard L.G. Sleijpen, and ,
Accelerating Inexact Newton Schemes for Large Systems of Nonlinear Equations,
Preprint 918, Department of Mathematics, University Utrecht (July, 1995),
SIAM J. Sc. Comput., 19:2 (1998), pp. 657-674. (bibtex)
Gerard L.G. Sleijpen and ,
An overview of approaches for the stable computation of hybrid Bi-CG methods,
Preprint 908, Department of Mathematics, University Utrecht (March, 1995),
Appl. Numer. Math., 19 (1995), pp. 235-254. (related subject; bibtex)
Gerard L.G. Sleijpen and ,
Hybrid Bi-Conjugate Gradient Methods for CFD Problems,
in "Computational Fluid Dynamics Review 1995", pp. 457-476,
M. Hafez and K. Oshima, ed.,
John Wiley & Sons Ltd, Chichester, 1995. (related subject; bibtex)
Gerard L.G. Sleijpen and ,
The Jacobi-Davidson method for eigenvalue problems and its relation with accelerated inexact Newton scheme,
Preprint, Department of Mathematics, University Utrecht (Februari, 1995),
in "Proceedings of the Second IMACS International Symposium on Iterative Methods in Linear Algebra", June 17-20, 1995, Blagoevgrad,
S.D. Margenov and P.S. Vassilevski, eds,
"Vol. 3 in the IMACS Series in Computational and Applied Mathematic", p.377-389, IMACS, New Brunswick, NJ, USA. (related subject; bibtex)
and Gerard L.G. Sleijpen,
Hybrid iteration solvers and their applications in CFD,
in "Hybrid iteration solvers and their applications in CFD",
W.G. Habashi, ed.,
Computational Methods in Applied Sciences, pp. 159-174,
John Wiley & Sons Ltd, Chichester, 1995. (related subject; bibtex)
Gerard L.G. Sleijpen and ,
Reliable updated residuals in hybrid Bi-CG methods,
Preprint 886, Department of Mathematics, University Utrecht (November, 1994),
Computing 56 (1996), pp. 141-163. (bibtex)
, , Gerard L.G. Sleijpen, and ,
An improvement of Davidson's iteration method,
J. Comput. Chem., 17 (3) (1996), pp. 267-272. (related subject; bibtex)
and Gerard L.G. Sleijpen,
An introduction to hybrid iteration methods,
in "Proceeding of the international workshop on solution techniques for large-scale CFD problems",
W.G. Habashi, ed. (Montreal, september, 1994), pp. 143-159. (related subject; bibtex)
, Gerard L.G. Sleijpen, W. Seinen, and A. Opperhuizen,
Sorption Kinetics of Chlorinated Hydrophobic Organic Chemicals.
Part II: Desorption Experiments,
Environ. Sci. & Pollut. Res., 1 (1994), pp. 81-92. (related subject; bibtex)
Gerard L.G. Sleijpen, , and ,
How to improve the convergence of hybrid Bi-CG methods,
in "IMACS '94, Proceedings 14the World Congress on Computation and Applied Mathematics",
W.F. Ames, ed,
Late Papers Volume, (1994), pp. 75-78. (related subject; bibtex)
Gerard L.G. Sleijpen and ,
Maintaining convergence properties of BiCGstab methods in finite precision arithmetic,
Preprint 861, Department of Mathematics, University Utrecht (July, 1994),
Numerical Algorithms, 10 (1995), pp. 203-223. (bibtex)
Gerard L.G. Sleijpen and ,
A generalized Jacobi-Davidson iteration method for linear eigenvalue problems,
Preprint 856, Department of Mathematics, University Utrecht (1994).
A Jacobi-Davidson iteration method for linear eigenvalue problems.
SIAM J. Matrix Anal. Appl. (SIMAX), 17:2 (1996), pp. 401-425. (bibtex)
, Gerard L.G. Sleijpen, and ,
Generalized Conjugate Gradient Squared,
Preprint 851, Department of Mathematics, University Utrecht (1994. Revised October, 1995),
J. Comput. Appl. Math. 71 (1996), pp. 125-146. (bibtex)
Gerard L.G. Sleijpen, , and ,
BiCGstab(ell): an Efficient and Surprisingly Stable Solver of Nonsymmetric Linear Equations,
in "Proceedings of the Cornelius Lanczos International Centenary Conference",
J.D. Brown, M.T. Chu, D.C. Ellison, R.J. Plemmons, eds.,
Proceedings in Applied Mathematics 73, pp. 291-293, IBSN 0-89871-339-0, SIAM, Philadelphia, 1994. (related subject; bibtex)
Gerard L.G. Sleijpen,
Optimal iteration methods for large linear systems of equations,
in "Workshop on Aspects of Parallelization regarding Finite Elements and Ocean Modelling",
W. Hiller, E. Krausse, ed.,
Report 52, Berichte aus dem Fachbereich Physik, Alfred Wegener Inst., Bremerhaven (1994). (related subject; bibtex)
Gerard L.G. Sleijpen, , and ,
BiCGstab(ell) and other Hybrid Bi-CG Methods,
Numerical Algorithms, 7 (1994), pp. 75-109. (related subject; bibtex)
, Gerard L.G. Sleijpen, A.J.M. van Wijk, and C. Singh,
Numerical methods for stable implementation of generating-unit deconvolution,
IEE Proc.-Gener. Transm. Distrib., 141 (1994), pp. 219-226.
, Gerard L.G. Sleijpen, W. Seinen, and A. Opperhuizen,
Sorption Kinetics of Chlorinated Hydrophobic Organic Chemicals.
Part I: The Use of First-Order Kinetic Multi-Compartment Models,
Environ. Sci. & Pollut. Res., 1 (1994), pp. 21-28.
, , and Gerard L.G. Sleijpen,
Further improvements in nonsymmetric hybrid iterative methods,
in "Simulation of Semiconductor Devices and Processes, Vol 5"
S. Selberherr, H. Stippel, and E. Strasser, eds., pp. 89-92, Springer Verlag, Wien, 1993
Gerard L.G. Sleijpen and ,
BiCGstab(ell) for Linear Equations involving Unsymmetric Matrices with Complex Spectrum,
ETNA, 1 (1993), pp. 11-32. (bibtex)
Gerard L.G. Sleijpen and ,
Krylov subspace methods for large linear systems of equations,
Preprint 803, Department of Mathematics, University Utrecht (1993). (related subject)
Gerard L.G. Sleijpen and ,
Optimal iteration methods for large linear systems of equations,
in "Numerical Methods for Advection-Diffusion Problems",
C.B. Vreugdenhil and B. Koren, eds.,
Notes on Numerical Fluid Mechanics, Vol. 45, Ch. 12, pp. 291-320, Vieweg, Braunschweig, 1993. (bibtex)
and G.L.G. Sleijpen,
The effect of incomplete decomposition preconditioning on the convergence of Conjugate Gradients,
in "Incomplete Decompositions (ILU)-Algorithms, Theory, and Applications",
W. Hackbusch and G. Wittum, eds.,
Notes on Numerical Fluid Mechanics, Vol. 41, pp. 179-187, Vieweg, Braunschweig, 1993. (bibtex)




  © Gerard L. G. Sleijpen   <G.L.G.Sleijpen@uu.nl>
  Last modified: