Home | Overview | Topics | Software | People | Bibliography | Other | Acknowledgments | How to cite


Here we give some topics in the Jacobi-Davidson literature.
The Overview page contains roughly the same references and scheme, but more explaining text.
See also the Bibliography page for more detailed information, and more references!


STANDARD EIGENVALUE PROBLEM
Orginal paper [SVo96], [SVo00]

SUBSPACE EXPANSION
Correction equation [SVM98], [GSl99], [Not02], [SEl02], [Sta07a], [HNo09]
Convergence [Esh02], [HSl03], [Ovt03a], [Ovt03b], [FSp07], [Hec07]

SUBSPACE EXTRACTION
Harmonic Rayleigh-Ritz [Mor91], [PPV95], [SVo96], [Bea98], [Ste01], [SEs03], [Hoc05], [Hocpp]
Refined Rayleigh-Ritz [Jia97], [FJi05]

VARIOUS PRACTICAL ISSUES
Restart [SSa98]
Deflation [FSV98b], [Sta07b]
Preconditioning [Bas99], [GSV00], [GSV03], [BPS03], [SWu04], [AGe05]
Parallelization [NPl99], [NPl00], [ABG06]

STANDARD EIGENVALUE PROBLEMS WITH EXTRA PROPERTIES
Hermitian or symmetric [SSa98], [Bas99], [Esh02], [Geu02], [Not02], [BPS03]
Real [NRo07]
Nonnormal [Sta02], [HSl03]
Complex symmetric [AHo04], [CAS05], [Chi05], [ACh08]
Block [Geu02], [Bra03a]

GENERALIZED EIGENVALUE PROBLEMS
Generalized eigenvalue problem [SBF96], [FSV98b], [HSl03], [HNo07], [Rom08]
Polynomial eigenvalue problem [SVG96], [SBF96], [Mee00], [TMe01], [HSl03], [HNo07], [HSl08]
Multiparameter eigenvalue problem [HPl02], [HKP05]
Nonlinear eigenvalue problem [BVo04], [Vos04a], [Vos04b], [MVo04], [Vos06], [SSc06], [Vos07b], [SSc07], [Sch08]
(Generalized) singular value problem [Hoc01], [Hoc04], [Hoc09]
Product eigenvalue problem [Hoc08]

RELATIONS WITH OTHER METHODS
Davidson's method [Dav75], [SVo96], [Not05]
Rayleigh quotient iteration [SEl02], [Not03]
Rational Krylov [LMe99]
Trace minimization [SWi82], [STo00]
Differential-geometric approaches [EAS98], [LEl02], [ASV04], [BAG06], [ABG06b], [AMS08]
Improving eigenvalues [DMW83], [Don83]
Riccati [Bra03a], [Bra03b]
Inexact Newton [SVo96b], [FSV98a], [HNo07]
Practical comparisons [AGe99], [Mor00], [AGe05], [AHL05], [VTM08],

APPLICATIONS
Pole-zero analysis [Rom02], [RBV04], [RVM04], [Rom07]
Magneto-Hydrodynamics (MHD) [BFV96], [NPl00]
Chemistry [YPN01]
Oceanography [DOW01], [WDO03], [DGh05], [Dij05], [Dij06]
Electromagnetism, opto-electronics [AGe99], [NPl00], [AGA01], [Geu02], [SWF02], [AGe05]
Continuation [Dor97]

GENERAL REFERENCES
Books [BDD00], [Ste01], [Vor02]
Review papers [VGo97], [Vor99], [Sor02], [Vor04], [HNo06]