Metodi probabilistici per il calcolo di autovalori ed autovettori

Gianna M. Del Corso

Bollettino dell'Unione Matematica Italiana (1998)

  • Volume: 1-A, Issue: 1S, page 185-188
  • ISSN: 0392-4041

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Del Corso, Gianna M.. "Metodi probabilistici per il calcolo di autovalori ed autovettori." Bollettino dell'Unione Matematica Italiana 1-A.1S (1998): 185-188. <http://eudml.org/doc/219398>.

@article{DelCorso1998,
author = {Del Corso, Gianna M.},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {probabilistic methods; iterative methods; power method; Lanczos method; greatest eigenvalue; polynomial method; recurrence formula; eigenvector; random error},
language = {ita},
month = {4},
number = {1S},
pages = {185-188},
publisher = {Unione Matematica Italiana},
title = {Metodi probabilistici per il calcolo di autovalori ed autovettori},
url = {http://eudml.org/doc/219398},
volume = {1-A},
year = {1998},
}

TY - JOUR
AU - Del Corso, Gianna M.
TI - Metodi probabilistici per il calcolo di autovalori ed autovettori
JO - Bollettino dell'Unione Matematica Italiana
DA - 1998/4//
PB - Unione Matematica Italiana
VL - 1-A
IS - 1S
SP - 185
EP - 188
LA - ita
KW - probabilistic methods; iterative methods; power method; Lanczos method; greatest eigenvalue; polynomial method; recurrence formula; eigenvector; random error
UR - http://eudml.org/doc/219398
ER -

References

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  1. DEL CORSO, G.M., Estimating an eigenvector by the power method with a random start, SIAM J. Matrix Anal. Appl., 18(4) (1997), 913-937. Zbl0895.65013MR1472002DOI10.1137/S0895479895296689
  2. DEL CORSO, G.M. e MANZINI, G., On the randomized error of polynomial methods for eigenvector and eigenvalue estimate, Journal of Complexity, 13(4) (1997), 419-456. Zbl0894.65014MR1606529DOI10.1006/jcom.1997.0455
  3. DEL CORSO, G.M. e MANZINI, G., On the randomized error of polynomial methods for eigenvector and eigenvalue estimate: Numerical tests, Technical Report B4-97-01, Istituto di Matematica Computazionale, CNR, Pisa (1997). Zbl0894.65014
  4. KUCZYNSKI, J. e WOZNIAKOWSKI, H., Extimating the largest eigenvalue by the power an Lanczos algorithms with a random start, SIAM J. Matrix Anal. Appl., 13 (1992), 1094- 1122. Zbl0759.65016MR1182715DOI10.1137/0613066
  5. KUCZYNSKI, J. e WOZNIAKOWSKI, H., Probabilistic Bounds on the Extremal Eigenvalues and Condition Number by the Lanczos Algorithm, SIAM J. Matrix Anal. Appl., 15 (1994), 672-691. Zbl0801.65034MR1266610DOI10.1137/S0895479892230456
  6. LEYK, Z. e WOZNIAKOWSKI, H., Estimating a largest eigenvector by polynomial algorithms with a random start, Technical report CUCS-026-96, Columbia University, New York, (1996). 

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