Publicly Available Jacobi-Davidson Software
Pseudocodes from the Templates book
- JDQR, MATLAB routines
- JDQZ, MATLAB routines
- JDCG, MATLAB routines
| Author: |
Yvan Notay |
| Description: |
Jacobi-Davidson type method for the real symmetric standard eigenvalue problem.
CG is used in the inner iteration with a sensible stopping criterion.
|
| Reference: |
Y. Notay
Combination of Jacobi-Davidson and conjugate gradients for the partial symmetric eigenproblem.
Numer. Lin. Alg. Appl., 9:21-44, 2002.
Link to article
Website Yvan Notay on the code
|
- JDCG_GEP, MATLAB routines
| Author: |
Yvan Notay |
| Description: |
Jacobi-Davidson type method for the generalized real symmetric/symmetric positive definite standard eigenvalue problem.
CG is used in the inner iteration with a sensible stopping criterion.
|
| Reference: |
Y. Notay
Combination of Jacobi-Davidson and conjugate gradients for the partial symmetric eigenproblem.
Numer. Lin. Alg. Appl., 9:21-44, 2002.
Link to article
Website Yvan Notay on the code
|
- JADAMILU, Fortran77 routines
- JDRPCG, MATLAB routines
| Author: |
Yvan Notay |
| Description: |
Jacobi-Davidson type method for the real symmetric standard eigenvalue problem.
CG is used in the inner iteration with a sensible stopping criterion.
|
| Reference: |
Y. Notay
Inner iterations in eigenvalue solvers.
Preprint, Free University of Brussels, June 2005.
Link to article
Website Yvan Notay on the code
|
- JADAMILU, Fortran routines
- JDBSYM, C routines
| Author: |
Roman Geus |
| Description: |
C library implementating the Jacobi-Davidson method for
standard symmetric and generalized symmetric/symmetric positive definite eigenproblems.
The implementation supports blocking.
|
| Reference: |
R. Geus
The Jacobi-Davidson algorithm for solving large sparse symmetric eigenvalue problems with application to the design of accelerator cavities.
PhD thesis no. 14734, ETH Zurich, 2002.
Link to thesis
Website Roman Geus on the code
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- JDQZ, Fortran routines
| Author: |
Diederik Fokkema, Martin van Gijzen |
| Description: |
Jacobi-Davidson type method for the generalized standard eigenvalue problem.
Choice of standard or harmonic Rayleigh-Ritz for the extraction.
Choice of GMRES or BiCGstab(l) for solving the correction equation.
|
| References: |
D. R. Fokkema,
G. L. G. Sleijpen,
H. A. van der Vorst
Jacobi-Davidson style QR and QZ algorithms for the reduction of matrix pencils.
SIAM J. Sci. Comput., 20(1):94-125, 1998.
Link to article
Manual by Diederik Fokkema and Martin van Gijzen
Website Gerard Sleijpen on the code
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- PRIMME, C routines
| Author: |
Andreas Stathopoulos |
| Description: |
PReconditioned Iterative MultiMethod Eigensolver.
Jacobi-Davidson and other type methods for the real symmetric or complex Hermitian standard eigenvalue problem.
|
| References: |
A. Stathopoulos
Nearly optimal preconditioned methods for Hermitian eigenproblems under limited memory. Part I: Seeking one eigenvalue.
SIAM J. Sci. Comput., Vol. 29, No. 2, (2007), 481-514.
Link to article
A. Stathopoulos
Nearly optimal preconditioned methods for Hermitian eigenproblems under limited memory. Part II: Seeking many eigenvalues.
SIAM J. Sci. Comput., Vol. 29, No. 5, (2007), 2162-2188.
Link to article
Website Andreas Stathopoulos on the code
|
- JDSVD, Matlab routines, please send email to m.e.hochstenbach tue.nl
| Author: |
Michiel Hochstenbach |
| Description: |
Jacobi-Davidson type method for the singular eigenvalue problem.
Choice of standard, harmonic, and refined extraction.
|
| References: |
M.E. Hochstenbach
A Jacobi-Davidson type SVD method.
SIAM J. Sci. Comput., 23(2):606-628, 2001.
Link to article
M.E. Hochstenbach
Harmonic and refined extraction methods for the singular value
problem, with applications in least squares problems.
BIT, 44(4):721-754, 2004.
Link to article
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- JDTP, Matlab routines, please send email to Bor.Plestenjak fmf.uni-lj.si
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