Geodesic
The parametrized \(SR\) algorithm for Hamiltonian matrices
Electronic transactions on numerical analysis, Tome 26 (2007), pp. 121-145
The heart of the implicitly restarted symplectic Lanczos method for Hamiltonian matrices consists of the algorithm, a structure-preserving algorithm for computing the spectrum of Hamiltonian matrices. The

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symplectic Lanczos method projects the large, sparse Hamiltonian matrix onto a small, dense $\ddot \copyright \ddot \copyright \ddot $ Hamiltonian -Hessenberg matrix , . This Hamiltonian matrix is uniquely determined by $\ddot !\copyright \ddot "\ddot $ # parameters. Using these # parameters, one step of the algorithm can be carried out in %' %' ###(###

$ )10243 arithmetic operations (compared to arithmetic operations when working on the actual Hamiltonian matrix).$

Classification : 65F15
Keywords: Hamiltonian matrix, eigenvalue problem, algorithm $$###(###$$ 
@article{ETNA_2007__26__a19,
     author = {Fa{\ss}bender,  H.},
     title = {The parametrized {\(SR\)} algorithm for {Hamiltonian} matrices},
     journal = {Electronic transactions on numerical analysis},
     pages = {121--145},
     year = {2007},
     volume = {26},
     zbl = {1171.65375},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2007__26__a19/}
}
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AU  - Faßbender,  H.
TI  - The parametrized \(SR\) algorithm for Hamiltonian matrices
JO  - Electronic transactions on numerical analysis
PY  - 2007
SP  - 121
EP  - 145
VL  - 26
UR  - http://geodesic.mathdoc.fr/item/ETNA_2007__26__a19/
LA  - en
ID  - ETNA_2007__26__a19
ER  - 
%0 Journal Article
%A Faßbender,  H.
%T The parametrized \(SR\) algorithm for Hamiltonian matrices
%J Electronic transactions on numerical analysis
%D 2007
%P 121-145
%V 26
%U http://geodesic.mathdoc.fr/item/ETNA_2007__26__a19/
%G en
%F ETNA_2007__26__a19
Faßbender,  H. The parametrized \(SR\) algorithm for Hamiltonian matrices. Electronic transactions on numerical analysis, Tome 26 (2007), pp. 121-145. http://geodesic.mathdoc.fr/item/ETNA_2007__26__a19/