Geodesic
Transfer functions and resolvent norm approximation of large matrices
Electronic transactions on numerical analysis, Tome 7 (1998), pp. 190-201
A unifying framework for methods employed in the approximation of the resolvent norm of nonnormal matrices is presented. This formulation uses specific transfer functions, and it provides new information about the approximation properties of these methods and their application in computing the pseudospectrum of matrices.
Classification : 65F15
Keywords: resolvent norm, transfer function, arnoldi iteration, pseudospectrum 
@article{ETNA_1998__7__a1,
     author = {Simoncini,  V. and Gallopoulos,  E.},
     title = {Transfer functions and resolvent norm approximation of large matrices},
     journal = {Electronic transactions on numerical analysis},
     pages = {190--201},
     year = {1998},
     volume = {7},
     zbl = {0915.65029},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_1998__7__a1/}
}
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EP  - 201
VL  - 7
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%A Gallopoulos,  E.
%T Transfer functions and resolvent norm approximation of large matrices
%J Electronic transactions on numerical analysis
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%P 190-201
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%U http://geodesic.mathdoc.fr/item/ETNA_1998__7__a1/
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%F ETNA_1998__7__a1
Simoncini,  V.; Gallopoulos,  E. Transfer functions and resolvent norm approximation of large matrices. Electronic transactions on numerical analysis, Tome 7 (1998), pp. 190-201. http://geodesic.mathdoc.fr/item/ETNA_1998__7__a1/