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An Implicitly Restarted Block Arnoldi Method in a Vector-Wise Fashion

An Implicitly Restarted Block Arnoldi Method in a Vector-Wise Fashion
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摘要 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 effective. 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 effective.
基金 This work is supported by National Natural Science Foundation of China No. 10531080.
关键词 IRAM Arnoldi算法 隐启动 Krylov方法 IRAM Arnoldi-type algorithm vector-wise block Arnoldi implicit restart
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