Geodesic
An implicit restarted Lanczos method for large symmetric eigenvalue problems
Electronic transactions on numerical analysis, Tome 2 (1994), pp. 1-21.

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Summary: The Lanczos process is a well known technique for computing a few, say k, eigenvalues and associated eigenvectors of a large symmetric n $\times n$ matrix. However, loss of orthogonality of the computed Krylov subspace basis can reduce the accuracy of the computed approximate eigenvalues.
Classification : 65F15
Keywords: Lanczos method, eigenvalue, polynomial acceleration 
@article{ETNA_1994__2__a12,
     author = {Calvetti, D. and Reichel, L. and Sorensen, Danny C.},
     title = {An implicit restarted {Lanczos} method for large symmetric eigenvalue problems},
     journal = {Electronic transactions on numerical analysis},
     pages = {1--21},
     publisher = {mathdoc},
     volume = {2},
     year = {1994},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_1994__2__a12/}
}
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Calvetti, D.; Reichel, L.; Sorensen, Danny C. An implicit restarted Lanczos method for large symmetric eigenvalue problems. Electronic transactions on numerical analysis, Tome 2 (1994), pp. 1-21. http://geodesic.mathdoc.fr/item/ETNA_1994__2__a12/