Recent publications a PDF Reader can be downloaded
from Adobe ). The bibtex description
(b ibtexme . 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).
(r elated subject;
b ibtex
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 .
(r elated subject;
b ibtex 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 .
(b ibtex
and
Harmonic and refined Rayleigh-Ritz for the
polynomial eigenvalue problem
Numer. Linear Algebra Appl. ,
15:1 (2008) ,
pp. 35-54.
(r elated subject;
b ibtex
,
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 .
(
b ibtex )
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,
(r elated subject;
b ibtex
,
Iterative linear solvers with approximate
matrix-vector products ,
Preprint 1293
(
.ps.gz ), Dep. Math., University Utrecht (December, 2003).
(r elated subject;
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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,
,
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.
(r elated subject;
b ibtex
and
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). (r elated subject;
b ibtexApplied 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
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 .
(r elated subject;
b ibtex
and
Two-sided
and alternating Jacobi-Davidson Preprint 1196, Dep. Math., University Utrecht (June, 2001).
Linear Algebra Appl. , 358 (2003), pp. 145-172.
(r elated subject;
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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.
(r elated subject;
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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.
(r elated subject;
b ibtex
,
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.
(r elated subject;
b ibtex
,
Using domain decomposition in the Jacobi-Davidson method ,
Preprint 1164 , Dep. Math., University Utrecht (October, 2000).
(r elated subject;
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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.
(b ibtex)
A
Jacobi-Davidson iteration method for linear eigenvalue problems
SIAM Review ,
42:2 (2000) , pp.
267-293 .
(b ibtex
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 .
(r elated subject
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 .
(r elated subject;
b ibtex
Jacobi-Davidson algorithms for various eigenproblems
- A working document - ,
Preprint 1114 , Dep. Math., University Utrecht (August, 1999).
(r elated subject;
b ibtex
and
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.
(r elated subject;
b ibtex 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.
(r elated subject;
b ibtex
,
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.
(r elated subject; b ibtex
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.
(r elated subject; b ibtex
,
The
data-parallel iterative solution of the finite element
discretization
of stream-function models for global ocean circulation
Preprint, Dep. Math., University Utrecht (March, 1997).
(r elated s ubject
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. (b ibtex 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 .
(r elated s ubject; b ibtex
,
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).
(b ibtex
and G.L.G. Sleijpen,
A parallelizable and fast algorithm for very large
generalized eigenproblems ,
(p reliminary 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.
(b ibtex
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 .
(r elated subject; b ibtex Gerard Sleijpen ,
,
and
,
Quadratic eigenproblems are no problem ,
SIAM News (September 8, 1996).
(r elated subject; b ibtex 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.
(r elated subject; b ibtex
,
,
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.
(r elated subject; b ibtex
,
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 .
(b ibtex
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.
(r elated subject; b ibtex
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.
(r elated subject; b ibtex
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. (r elated subject;
b ibtex
and
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.
(r elated subject; b ibtex
Reliable updated residuals in hybrid Bi-CG methods Preprint 886, Department of Mathematics, University Utrecht (November, 1994),
Computing 56 (1996), pp. 141-163.
(b ibtex
,
,
An improvement of Davidson's iteration method ,
J. Comput. Chem., 17 (3) (1996), pp. 267-272.
(r elated subject; b ibtex
and 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.
(r elated subject; b ibtex
,
Sorption Kinetics of Chlorinated Hydrophobic Organic Chemicals .
Part II: Desorption Experiments ,
Environ. Sci. & Pollut. Res., 1 (1994), pp. 81-92.
(r elated subject; b ibtex 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.
(r elated subject; b ibtex
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.
(b ibtex 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 .
(b ibtex
,
Generalized Conjugate Gradient Squared Preprint 851, Department of Mathematics, University Utrecht
(1994. Revised October, 1995),
J. Comput. Appl. Math. 71 (1996), pp. 125-146.
(b ibtex 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.
(r elated subject; b ibtex 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).
(r elated subject; b ibtex
BiCGstab(ell) and other Hybrid Bi-CG Methods ,
Numerical Algorithms, 7 (1994), pp. 75-109.
(r elated subject; b ibtex
,
Numerical methods for stable implementation
of generating-unit deconvolution , IEE Proc.-Gener. Transm. Distrib., 141 (1994), pp. 219-226.
,
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
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
BiCGstab(ell) for Linear Equations involving Unsymmetric Matrices
with Complex Spectrum ,
ETNA , 1 (1993), pp. 11-32. (b ibtex
Krylov subspace methods for large linear systems of equations Preprint 803, Department of Mathematics, University Utrecht (1993).
(r elated 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.
(b ibtex
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.
(b ibtex
© Gerard L. G. Sleijpen
<G.L.G.Sleijpen@uu.nl>
