Volume 15, Issue 3
An implicitly restarted block Arnoldi method in a vector-wise fashion

Q. Yin & L. Lu

Numer. Math. J. Chinese Univ. (English Ser.)(English Ser.) 15 (2006), pp. 268-277

Published online: 2006-08

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  • Abstract
In this paper, we develop an implicitly restarted block Arnoldi algorithm in a vector-wise fashion. The vector-wise construction greatly simplifies both the detection of necessary deflation and the actual deflation itself, so it is preferable to the block-wise construction. The numerical experiment shows that our algorithm is efficient.
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@Article{NM-15-268, author = {Q. Yin and L. Lu}, title = {An implicitly restarted block Arnoldi method in a vector-wise fashion}, journal = {Numerical Mathematics, a Journal of Chinese Universities}, year = {2006}, volume = {15}, number = {3}, pages = {268--277}, abstract = { In this paper, we develop an implicitly restarted block Arnoldi algorithm in a vector-wise fashion. The vector-wise construction greatly simplifies both the detection of necessary deflation and the actual deflation itself, so it is preferable to the block-wise construction. The numerical experiment shows that our algorithm is efficient. }, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/nm/8034.html} }
TY - JOUR T1 - An implicitly restarted block Arnoldi method in a vector-wise fashion AU - Q. Yin & L. Lu JO - Numerical Mathematics, a Journal of Chinese Universities VL - 3 SP - 268 EP - 277 PY - 2006 DA - 2006/08 SN - 15 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/nm/8034.html KW - AB - In this paper, we develop an implicitly restarted block Arnoldi algorithm in a vector-wise fashion. The vector-wise construction greatly simplifies both the detection of necessary deflation and the actual deflation itself, so it is preferable to the block-wise construction. The numerical experiment shows that our algorithm is efficient.
Q. Yin & L. Lu. (1970). An implicitly restarted block Arnoldi method in a vector-wise fashion. Numerical Mathematics, a Journal of Chinese Universities. 15 (3). 268-277. doi:
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